Window Design of Naturally Ventilated Offices in the Mediterranean Climate in Terms of CO₂ and Thermal Comfort Performance

Abstract

Natural ventilation through window openings is an inexpensive and effective solution to bring fresh air into internal spaces and improve indoor environmental conditions. This study attempts to address the “indoor air quality–thermal comfort” dilemma of naturally ventilated office buildings in the Mediterranean climate through the effective use of early window design. An experimental method of computational modelling and simulation was applied. The assessments of indoor carbon dioxide (CO₂) concentration and adaptive thermal comfort were performed using the British/European standard BS EN 15251:2007. The results indicate that when windows were opened, the first-floor zones were subjected to the highest CO₂ levels, especially the north-facing window in the winter and the south-facing window in the summer. For a fully glazed wall, a 10% window opening could provide all the office hours inside category I of CO₂ concentration. Such an achievement requires full and quarter window openings in the cases of 10% and 25% window-to-floor ratios (WFR), respectively. The findings of the European adaptive comfort showed that less than 50% of office hours appeared in category III with cross-ventilation. The concluding remarks and recommendations are presented.

1. Introduction

In urban areas, people spend most of their time (nearly 90%) indoors while performing different daily activities, where the concentration of most indoor pollutants is about 20% higher than in the outdoor environment [1]. Therefore, maintaining comfortable and healthy conditions for occupants is one of the major building tasks. Indoor air quality (IAQ) has a significant impact on human health and comfort. Modern lifestyle requires paying more attention to the provision of better thermal comfort and healthier indoor conditions for occupants, while advancements in technology and mechanical systems have created the means of achieving this goal. However, sustainability standards and green building guidelines require less dependence on active strategies to minimise energy consumption, and consequently, reduce buildings’ carbon footprints.

Carbon dioxide (CO₂) is one of the most common gases found in our atmosphere. It can be used as a good indicator of human bio-effluent concentration. An indoor CO₂ measurement provides a dynamic measure of the balance between carbon dioxide generation in the space, representing occupancy, and the amount of low CO₂ concentration in the outside air introduced for ventilation. Air movement has a significant influence on perceived indoor air quality [2]. Researchers claim that the air tightening within an occupied zone of air-conditioned spaces will result in complaints of unsatisfactory indoor air. Field studies suggest that the elevated airspeed within an occupied zone can possibly achieve thermal comfort even at higher temperatures and improve the perceived indoor air quality [3].

In recent studies, the utilization of natural ventilation, as a prevalent and effective passive strategy, to remove indoor pollutants and maintain indoor air quality along with indoor thermal comfort of various building programs is being challenged. The findings of previous studies recommend conflicting objectives and emphasise the need to pursue a more integrative approach to indoor environmental quality by tackling more than one criteria simultaneously [2].

Windows are the main and most popular means in which natural ventilation can be allowed into a building’s indoor spaces. Natural ventilation through windows can be based on pressure difference (also called wind-driven natural ventilation) or thermal difference (in single-sided ventilation or when placing windows or openings at different heights in cross-ventilation) between inside and outside or between the openings [4]. Occupant-controlled windows are considered an effective method for maintaining indoor air quality and thermal comfort conditions. Window-based natural ventilation can replace mechanical ventilation and air condition systems (in free-running buildings or periodically) [5], thus reducing a significant amount of energy consumption and CO₂ emissions [6]. Accordingly, window design has a strong relationship with natural ventilation performance in different types of buildings. Window design is an early decision task of architects that requires sufficient knowledge supported by experiments and quantitative data.

Studies confirm that window-based natural ventilation is an inexpensive and practical method to bring fresh air into internal spaces and enhance indoor air quality and thermal comfort [6,7,8,9]. Yet, opening windows in the warm months may result in indoor overheating; consequently, an “indoor air quality-thermal comfort” dilemma exists [10,11,12]. Previous studies have mainly studied natural ventilation performance only in terms of indoor air quality or thermal comfort. This study attempts to address the “indoor air quality-thermal comfort” dilemma of naturally ventilated office buildings in the Mediterranean climate through the effective use of early window design. It examines the potential performance of single-sided and cross-ventilation by investigating different window design scenarios, including window size, orientation, location (different floor levels), and possible opening behaviour (by occupants). Architects unconsciously limit the amount of airflow coming into a building from openings when they choose a particular window size, orientation, and type in the early design stage. Nowadays, for instance, modern office buildings with large glazed walls have limited windows for natural ventilation, or a particular type of windows has a limited opening area, which might reduce ventilation and cooling capabilities of ambient air, especially in naturally ventilated buildings. An adequately designed window can lead to maximising the free-running period—no mechanical systems are used for ventilation and air-conditioning—and thus saving a considerable amount of energy. Therefore, architects need to understand the traces of window design decisions in terms of natural ventilation performance. Accordingly, the outcomes of this research can help architects to make informed choices when they decide on the different parameters related to window design considering both indoor air and thermal conditions, simultaneously, in the early design stage.

2. The Effect of Building Envelope Design on Indoor Environmental Performance

A building envelope separates the indoor spaces from the outdoor environment. It is an external layer of the building that protects the internal environment from harsh environmental conditions and facilitates climate control. Therefore, the climatic design of a building envelope has an impact on its indoor air quality, thermal and visual performance, and energy consumption. In the Mediterranean climate, it is important to limit the amount of heat gain through the design of the building envelope and utilise effective natural ventilation strategies to cool down the internal spaces in the summer months.

Turkish researchers [13] examined the impact of passive solar building components on the energy performance of residential units in Turkey’s different climates. The results revealed that the building aspect ratio has less influence on the total energy demand compared to the window size and insulation materials. Moreover, compact forms and large-size windows are the most preferable combination in the cool climates, while the situation is the total reverse in the warm climates. Based on the concept of passive and non-passive spaces developed by Baker and Steemers [14] and adopted by Steadman et al. [15] for the energy classification of built forms, Ratti et al. define a ‘passive zone’ as one that can successfully be treated using passive strategies [16]. According to empirical observations, a ‘passive zone’ is considered twice the ceiling height. A similar study [17] proved that minimising the building’s shape coefficient reduces heat loss in winter; however, it negatively affects the ‘passive zone’ by reducing the availability of natural ventilation and daylight. Thus, an envelope less exposed to the outside environment increases the energy demand for artificial lighting and ventilation. While the ‘passive zone’ has been considered a better indicator for energy consumption [15], it can consume even more energy compared to the non-passive zone if the glazing is not designed to prevent overheating in the summer and heat loss in the winter.

Moreover, researchers [18] studied various building forms and plan layout designs to access passive strategies in relation to thermal comfort and natural ventilation in a university building. They found that plans longer than 15 m could lower the effect of natural ventilation to provide thermal comfort. Other studies examined the potential of different building forms to reduce solar radiation [19], thermal performance, and energy use [20]. Studies confirmed that room height has a considerable influence on energy demand, such that the energy consumption increases by 1% for each 10 cm increase in ceiling height [21]. Although a reduction in ceiling height offers less exposed surface areas, it can result in higher indoor temperatures and consequently, less thermally comfortable indoor spaces, especially in the warm and hot climates [22]. The building orientation also has a considerable effect on energy consumption and thermal comfort as it is implicated in the levels of solar radiation, daylighting, and air movement [23]. Regardless of building form, buildings arranged longitudinally along the south and north require 10% less energy than those aligned longitudinally along the east and west in a hot and humid climate [20]. A study [24] assessed both IAQ and thermal comfort, as one package, in recently built energy-efficient houses. The findings indicate that in these airtight houses, mechanical ventilation has to be working constantly to maintain indoor environmental conditions. Another study combined objective environmental variables and subjective comfort evaluation to assess indoor air quality and thermal comfort based on Weber/Fechner’s law and Predicted Mean Vote (PMV) [25].

Previous studies focused less on examining the relationships between window design and natural ventilation, as well as the effect of different window design parameters on the indoor CO₂ concentration and thermal comfort performance. A larger part of existing research concentrates either on the reduction of energy demand [6,13,26,27] or improving thermal comfort levels by exploring a particular building component [28,29].

Window Design in Relation to CO₂ and Thermal Comfort in Naturally Ventilated Buildings

Windows are designed at the early architectural design phase where designers decide on most of the envelope-related elements. These decisions have a significant influence on building performance in terms of indoor air quality, thermal comfort, visual comfort, daylighting, and eventual energy consumption [6,20,30,31]. Different climatic conditions require specific envelope design considerations to achieve an environmentally responsive envelope design. In the Mediterranean climate, there is a need to limit the amount of solar heat gain in the summer and heat loss in the winter, especially through window openings. Besides, window-based natural ventilation can be exploited efficiently to cool down internal spaces in the warm months.

Natural ventilation in buildings mainly occurs through intended envelope openings (e.g., windows or doors) and infiltration (leakage of the building surfaces) as a result of differences in pressure between the inside and outside [32]. In unconditioned spaces, therefore, natural ventilation is the only method to dilute indoor air contaminants, particularly the carbon dioxide exhaled by occupants. There are several strategies for natural ventilation, such as single-flow ventilation, cross-flow ventilation, internal ventilation, and the thermal chimney effect. This study examines single-side and cross-flow ventilation strategies with different window design strategies. Numerous studies have assessed various window parameters in relation to particular building performance objectives or multiple performance criteria. Most countries follow certain building code and design guidelines to specify the window-to-wall ratio (WWR) or window-to-floor area ratio (WFR). The impact of WWR on different building performance goals has been studied more frequently [33,34,35,36,37,38].

Alibaba [39] studied the heat and airflow behaviour of naturally ventilated offices in a Mediterranean climate (i.e., Famagusta, North Cyprus). One aspect of the study was examining the effect of different window-to-wall ratios and window openings on the air change rates (ach) per hour. The maximum ach was achieved when the building had a 100% WWR with fully open windows, whereas the minimum ach was recorded in the case of 10% WWR with a 20% window opening. Mora-Pérez et al. [6] studied natural ventilation design decisions concerning energy efficiency and CO₂ emission of a residential building in the Mediterranean region. The authors claimed that the building’s natural ventilation behaviour was improved by 9.7% with a new opening alternative.

Research into the indoor air quality of naturally ventilated high-occupancy research student offices at Beijing University, China [40] investigated the carbon dioxide concentration and indoor climate (i.e., dry-bulb air temperature and relative humidity) during the heating period. The quantitative measurements show that the indoor CO₂ level exceeded the threshold of 1000 ppm throughout most of the occupied time each day. The average exposure to CO₂ concentration over the threshold was 3.68 h per occupant per day. Therefore, these offices do not meet the IAQ requirements and users tend to suffer health consequences. Laska and Dudkiewicz [41] studied CO₂ concentration in a naturally ventilated lecture room at the Wroclaw University of Science and Technology, Poland. The city is characterised by a mild and moderately warm climate. The collected data from field measurements validated a model previously derived for school classrooms [42]. The authors argue that this model is also applicable for calculating the CO₂ concentration in auditorium lecture rooms where the occupants are the main source of pollution. The measured values of CO₂ concentration were compared to the acceptable level of carbon dioxide defined in the European Standard 13779:2008 and a questionnaire survey based on personal discomfort. The results of this experimental study indicate that during a 90-min lecture, the concentration was within the permissible levels and the occupants were satisfied. However, when the room was fully occupied, the indoor environment failed to provide suitable health conditions. These conclusions indicate that naturally ventilated indoor spaces need to be regularly aired to maintain the comfort conditions and productivity of users.

In the literature survey, researchers mainly depend on CO₂ concentration (ppm) as a proper indicator to assess natural ventilation performance [12,30,40,41,42,43] in reference to the 1000 ppm threshold defined by the World Health Organisation (WHO) [44]. In other words, CO₂ levels higher than 1000 ppm denote insufficient ventilation. Exceeding this threshold can cause sick building syndrome (SBS) problems for residents, such as headaches and respiratory problems [7,45,46,47,48]. Nevertheless, in naturally ventilated buildings, where occupants have full access to openable windows, minimal indoor CO₂ levels might be preferable. Considering that CO₂ concentration in the air is about 350–450 ppm, appropriately designed windows and opening portions can reduce the internal CO₂ level.

Researchers in Spain [49] investigated the potential of adaptive thermal comfort for existing dwellings in the Mediterranean climate. The authors declared that both EN 15251:2007 and American Society of Heating, Refrigerating, and Air-Conditioning Engineers (ASHRAE) 55-2017 are applicable to the considered conditions and both standards presented comparable results, noting that EN 15251:2007 standard can predict worse conditions than the American model. Other researchers [50] confirm that regional adaptive comfort indicators showed more reliable results than the ASHRAE adaptive model for school buildings in the Mediterranean climate. A similar study in the same country [51] applied adaptive thermal comfort in Mediterranean office buildings. They found that natural ventilation through window openings (manual or mechanical) provided up to 30% more occupancy hours that are comfortable based on the EN 15251:2007 standard, and with window-material improvements, that percentage could be raised to more than 50%.

Salvalai et al. [52] studied the thermal comfort and energy performance of several low-energy cooling concepts for office buildings in six different European climate zones. A series of dynamic simulations were performed based on the PMV (ISO 7730:2005) and adaptive (EN 15251:2007) thermal comfort models. The findings indicate that natural ventilation has a greater potential for the Northern and Central parts of Europe compared to Southern Europe due to the presence of higher ambient air temperatures in the later climate. Even in European climates, solely implementing passive cooling methods has its limitations in terms of achieving thermal comfort. From an architectural perspective, an adequate knowledge on window design and natural ventilation relationship, considering a particular local condition, can guide architects toward selecting an optimum window design that maximises natural ventilation and passive cooling performance [52,53]. Croitoru et al. [54] investigated the thermal comfort of a low energy office building in the temperate climate of Romania. The study compared real-life experimental results with the subjective responses from a questionnaire on the thermal sensation votes. The thermal comfort results placed the free-running building in Category I and Category II of European adaptive comfort (EN 15251:2007).

3. Materials and Methods

An experimental method of computational modelling and simulation techniques was used to collect and analyse numerical data. This study phase encompasses the selection of building performance simulation (BPS) tool, describing features of the hypothetical building case, and identifying performance criteria and assessment methods. Figure 1 illustrates the research methodology flowchart.

3.1. Building Performance Simulations (BPS)

Developed by Environmental Design Solutions Limited (EDSL), TAS Engineering software version 9.4.4 [55] is used to conduct the computational thermal simulations and fulfil the aim of the study. TAS Engineering software is a complete solution for the dynamic simulation and thermal analysis of buildings. TAS software is “an industry-leading building modelling and simulation tool capable of performing hourly dynamic thermal simulation for the world’s largest and most complex buildings” [55]. As a complete solution for the thermal simulation of new and existing buildings, the software scope facilitates a methodical workflow. The ‘3D Modeller’ can create building models for simulation and performing daylight analyses. The ‘Building Simulator’ allows for the addition of apertures, internal gains, constructions, and the performance of dynamic simulations. Finally, the ‘Result Viewer’ is for storing, viewing and exporting hourly results in both 2D and 3D.

3.2. Climate Analysis of Famagusta

This study phase of the methodology identifies the contextual climate conditions through comprehensive weather classification and analysis. Although several methods have been introduced by scholars, the Köppen-Geiger Climate Classification [56,57] is considered one of the most reliable and widely used systems for classifying climates. This system divides climates into five main climate groups, with each group further divided based on the monthly and annual averages of precipitation and temperature patterns. According to the Köppen-Geiger Climate Classification system, the five main climate groups are A (tropical), B (arid), C (warm temperate), D (continental), and E (polar).

Based on the Köppen-Geiger Climate Classification, Famagusta’s climate (latitude 35.0° N and longitude 33.0° E) is the Csa (Mediterranean climate), which is characterised by dry and hot summers and rainy, rather changeable, winters. The warm period starts in May and lasts until the end of September. While the cool period is between November and March, April and October are rather moderate months.

The driving forces in natural ventilation are temperature and wind; therefore, the significant factors are the outdoor and indoor conditions that should be considered when studying natural ventilation. On average, July is the warmest month in the year, while the hottest temperature occurs in July and August with a mean daily outdoor temperature of 28 °C. January is the coldest month in the year, for which the average daily outdoor temperature is about 11 °C. The average annual day temperature is 25 °C and the average annual night temperature is 13 °C. Temperatures vary significantly between day and night, which ranges between, approximately, 10 °C in the winter to 12 °C in the summer. Furthermore, December and June represent the most and least humid months of the year with approximately 73% and 64% humidity ratios, respectively. The average annual percentage of relative humidity is about 69%. The city’s dominating winds are from the west, north in winter and west, south in summer. These wind directions may improve the effectiveness of natural ventilation when the windows are aligned with these orientations. For reference, the windiest and calmest days are recorded in February and September with the daily average wind speed of 5.2 m/s and 3.3 m/s, respectively.

Table 1. Monthly average temperatures and relative humidity based on Famagusta weather data.

Month	Average Temp (°C)	Mean Max Temp (°C)	Mean Min Temp (°C)	Temperature Difference (°C)	Relative Humidity (%)
January	10.9	16.4	6.9	9.7	72.8
February	12.8	16.4	6.5	10.3	71.7
March	14.0	18.4	7.8	10.8	72.8
April	16.2	22.2	10.5	11.8	70.7
May	21.4	26.5	14.2	12.2	67.3
June	26.0	30.6	18.4	13.2	64.3
July	28.4	33.1	21.1	12.1	65.0
August	28.4	33.3	21.4	12.1	67.3
September	25.7	31.1	16.4	13.1	66.6
October	22.8	27.2	15.3	11.8	67.5
November	17.9	22.0	11.0	10.8	70.0
December	13.7	17.6	7.5	9.5	73.2

and

Table 2. Monthly average wind speed and predominant wind directions based on Famagusta weather data.

Month	Average Wind Speed (m/s)	Percentages of Predominant Wind Directions (%)
		North	East	South	West
January	5.0	35	25	10	30
February	5.1	30	20	13	37
March	4.6	30	13	12	45
April	4.0	22	13	15	50
May	3.5	18	7	15	60
June	3.4	10	5	20	65
July	3.5	10	3	27	60
August	3.4	10	3	25	62
September	3.3	15	5	15	65
October	3.6	35	10	10	45
November	4.3	45	20	10	25
December	4.8	38	20	12	30

Note: The colour scheme indicates first (darker) and second (lighter) predominant wind directions.

outline the climatic conditions of the study location. Figure 2 shows the wind rose of Famagusta.

3.3. Building Case and Window Design Features

This study targets the early envelope, particularly window, design of office buildings in the Mediterranean climate. To replicate common building designs in the study location and to test different window orientations and floor locations, a hypothetical building was designed as a three-storey office building with four thermal zones on each floor, as presented in Figure 3. Each zone had an area of 50.0 m² with a 1:1 length-to-width ratio, also called the space aspect ratio (7.1 m × 7.1 m). The height of the ceiling was fixed at 3.0 m as the normal ceiling height recommended by the local building design regulation of the study location [58]. The minimum window-to-floor ratio accepted by the North Cyprus Chamber of Architects is 10% WFR [58]. The other scenarios included 25% and 50% (full glass in this building case). The natural ventilation patterns were single-side ventilation in the cases of 10% and 25% WFR, as well as cross ventilation in the case of 50% WFR. The authors tested various aperture opening scenarios ranging from closed to fully opened windows for the different orientations. It is important to mention that neither external solar shadings nor internal blinds were used to reflect common office design practice or the worst status of windows in response to excessive solar impact.

Table 3. Building geometric parameters and various simulation scenarios.

Building Geometric Parameters	Unit	Simulation Scenarios
Space aspect ratio (L/W)	–	1:1
Space clear height	(m)	3.0
Floor location	–	Ground, first, and second floor
Window-to-floor ratio (WFR)	(%)	10, 25, 50 (fully glazed wall)
Window orientation	–	North, east, west, and south
Window opening ratio	(%)	0 (closed), 10, 25, 50, 75, 100 (fully open)
Window shading ratio	(%)	N/A
Natural ventilation strategy	–	Single-side for 10% & 25% WFR Cross-flow for 10% & 50% WFR

presents the considered building and window design parameters as well as different simulation scenarios.

Table 4. Glazing material properties generated by TAS software [55].

Glass Type	Materials (Internal to External)	G Value	Light Transmittance	Emissivity Int./ext.	Conduct. (W/m2·°C)	U Value (W/m2·°C)	R Value (m2·°C/W)
Double glass	4 mm clear glass, 10 mm air gap, 4 mm clear glass	0.748	0.815	0.845	5.958	2.96	0.338

and

Table 5. Opaque construction materials and specifications generated by TAS software [55].

Construction	Materials (Internal to External)	Solar Absorptance	Emissivity Int./ext.	Conduct. (W/m2·°C)	U Value (W/m2·°C)	R Value (m2·°C/W)
External wall	Cement plaster 25 mm, clay hollow bricks 250 mm, cement plaster 25 mm	0.400	0.900	0.416	0.388	2.576
Internal wall	Cement plaster 25 mm, clay hollow bricks 100 mm, cement plaster 25 mm	0.400	0.900	0.745	0.661	1.512
Internal floor/ceiling	Concrete internal floor/ceiling 150 mm	0.650	0.900	7.533	3.303	0.303
Ground floor	Tiles 25 mm, mortar 50 mm, concrete 125 mm, aggregate 75 mm, soil 1000 mm	0.760	0.910	0.296	0.282	3.543
Roof	Cement plaster 25 mm, concrete 200 mm	0.650	0.900	2.027	1.507	0.663

show the transparent and opaque construction materials and their specifications that are commonly utilised for building construction in North Cyprus.

3.4. Parameters of Thermal Simulations and Internal Conditions

The internal conditions were set as natural ventilation without any plant. Therefore, there were no active systems running for heating, cooling, or mechanical ventilation. The internal heat gain sources and coefficients are specified based on the TAS system parameters [55], as shown in

Table 6. The sources of internal heat gains and coefficient limitations based on TAS system parameters [55].

Internal Heat Gain Sources	Radiation Proportion	Coefficient
Lighting	0.3	0.490
Occupant	0.2	0.227
Equipment	0.1	0.372

. The Chartered Institution of Building Services Engineers (CIBSE) Guide A: Environmental Design [59] benchmark allowances were used to identify the values of internal heat gains, as summarised in

Table 7. Inputs for internal gains based on the Chartered Institution of Building Services Engineers (CIBSE) Guide A benchmark allowances [55] and American Society of Heating, Refrigerating, and Air-Conditioning Engineers (ASHRAE) fundamentals [57].

Internal Gain/System Inputs	Unit	Value
Outside air	L/s/p	8.0
Metabolic rate	W/p	126.0
Infiltration	ach	0.3
Ventilation *	ach	0.0
Lighting gain	W/m2	12.0
Occupancy sensible gain	W/m2	8.0
Occupancy latent gain	W/m2	5.0
Equipment sensible gain	W/m2	18.0
Equipment latent gain	W/m2	0.0
CO2 pollutant generation	L/h/m2	2.24

* Natural ventilation through windows (no mechanical ventilation).

. The metabolic rate was predicted to be 1.2 met of 1.8 m² Du Bois area of an average adult doing sedentary office work, which indicates a heat release of 126 W/person [60].

To calculate the pollutant (i.e., CO₂) generation rate, ASHRAE fundamentals [61] and ASHRAE 62.1 standard [62] suggest that the CO₂ generation rate, for an average-sized adult performing sedentary office activities (1.2 met) is 0.0052 L/s (0.312 L/min). Referring to the range of 6 m² (open office) to 10 m² (single office) floor area per person required by office design guidelines and recommended area per person [57,61,62,63], each zone was designed to accommodate 6 people. Thus, the total CO₂ generation for a single zone will be 2.24 L/h/m². An amount of 7.5 L/s (15 cfm) per person of outdoor air can, therefore, dilute the polluted air. Natural ventilation through openable windows is the main conduit for the flow of air in and out. According to ‘Tas Theory Manual’ [64], the wind pressure coefficients are defined in a way that the wind pressure on an aperture is:

$$p_w=\frac{c_w\rho v{\left(h_b\right)}^2}{2}.$$

(1)

where $c_w$ is the wind pressure coefficient, $\rho$ is the air density, and $v\left(h_b\right)$ is the wind speed at the building height $\left(h_b\right)$.

All the parameters affecting wind pressure coefficient were based on the metrological weather data of Famagusta, as well as the terrain roughness was set to urban and cities category with terrain-dependent coefficients of exponent ($\alpha =0.33$) and boundary layer thickness ($\delta =460$). Finally, the occupancy schedule was set to weekdays (Monday to Friday) and office working hours only (09:00 to 17:00) for both internal conditions and aperture openings. Therefore, the total working days is 261 days and the total simulated hours is 2088 h. Generated by the North Cyprus metrological office and Famagusta weather station, the weather file data—in the format of TAS weather data (.twd)—of Famagusta was entered, which contains all the geographical data and variables for each hour of a year.

3.5. Performance Criteria and Assessment Methods

Window design and natural ventilation are associated with many aspects of building indoor environmental quality (IEQ). The scope of this study involves an evaluation of the relationship between window design and natural ventilation in terms of CO₂ and thermal comfort performance. The following sections describe the assessment methods of these performance criteria.

3.5.1. Assessment of Carbon Dioxide (CO₂) Performance

High carbon dioxide concentration indoors can be an indicator of poor air circulation or under-ventilation. An indoor concentration greater than 1000 ppm of CO₂ is indicative of a potential indoor air quality problem [44]. CO₂ concentration below 1000 ppm usually indicates that the ventilation is adequate to deal with the normal products associated with human occupancy. In addition, the British and European standard BS EN 15251:2007 [65] categorises CO₂ levels above the outdoor concentration into four categories, as demonstrated in

Table 8. Building categories according to CO₂ levels above outdoor level based on British and European standard BS EN 15251 [65] and BS EN 13779 [66] standards.

Category	CO2 Concentration (ppm) above Outdoor Air		The Accepted Limit for Famagusta (Outdoor CO2 of 400 ppm)
	Typical Range	Default Value
I	≤400	350	750
II	400–600	500	900
III	600–1000	800	1200
IV	>1000	1200	1600

.

Due to the existence of a close relationship between CO₂ production and body odour, CO₂ level increases or decreases in relation to human metabolic activity. Since CO₂ is a good indicator of human metabolic activity, it could also be used as a tracer for other human-emitted bio-effluents. Moreover, CO₂ can be used to measure or control any per-person ventilation rate, regardless of the perceived level of bio-effluents or body odour in a given space. In fact, the 1000 ppm guideline for CO₂ recommended by the World Health Organisation [44] and used in ANSI/ASHRAE Standard 62.1 [62] is the equilibrium level for 15.0 cfm/person (7.0 L/s), assuming a 400 ppm outside CO₂ level. More recently, ANSI/ASHRAE Standard 62.1 indicated that comfort (odour) criteria are likely to be satisfied when the ventilation rate is set so that the 1000 ppm of CO₂ threshold is not exceeded [62]. Accordingly, the average duration (hour) of exposure to carbon dioxide concentration more than 1000 ppm per person per day can be measured [40].

3.5.2. Thermal Comfort Assessment Using an Adaptive Model

In the 1970s, an adaptive comfort theory challenged the steady-state comfort theory, which suggested that comfort was time-dependent considering human thermal adaptation (i.e., behavioural, physiological, and psychological) to their environment over time. Thus, the building occupants might accept conditions that would otherwise have been predicted to be unsatisfactory for the PMV model [67], specifically in the hot conditions of naturally ventilated buildings [68]. The model hypothesis is that contextual factors influence building residents’ preferences and thermal expectations [69,70]. The concept of the adaptive comfort model is that outdoor climate impacts indoor comfort as occupants can adapt to different conditions throughout different times of the year. The results of field studies revealed that users of naturally ventilated buildings typically accept a wider range of temperatures than those in air-conditioned buildings as their preferred temperature depends on outdoor conditions [2,71]. The model works efficiently in an environment where the monthly mean temperature stays above 10 °C and below 33.5 °C, which corresponds to the weather conditions of Famagusta, North Cyprus.

Similar to the acceptability limits of 80% and 90% defined by the ASHRAE 55 standard [60], the British and European standard of BS EN 15251:2007 [64] introduced a similar categorisation using Equation (2) while accepting slightly higher degrees than the American standard. It was proposed that an exponentially weighted outdoor running mean temperature could account for this time-dependency. Therefore, the BS EN15251:2007 standard defines the exponentially weighted running mean temperature T_rm for any given day through Equation (3), which was originally developed by Nicol and Humphreys [72].

$$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8,$$

(2)

$$T_{\mathrm{rm}}=\left(1-\alpha \right)T_{\mathrm{od}-1}+\alpha T_{\mathrm{od}-2}+a^2{T}_{\mathrm{od}-3}+a^3{T}_{\mathrm{od}-4}\dots ),$$

(3)

where T_comf is the indoor comfortable operative temperature (°C) and T_rm is the exponentially weighted running mean temperature (°C), α is a constant between 0 and 1 and T_od−1 is yesterday’s daily mean outdoor temperature, the day before (T_od−2), the day before that (T_od−3), and so on.

The temperatures become less significant as time progresses, with the speed of decay depending on the value of the constant α. The lower the value of α, the less significant the weighting of past temperatures. Moreover, the equation’s developers suggested α = 0.8 as an appropriate value according to their SCAT database [72].

Table 9. Thermal comfort categories and acceptable ranges based on the European adaptive model [65].

Categories	Acceptable Comfort Range (°C)		Expectations
	Upper Limit	Lower Limit
I	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8+2$	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8-2$	High
II	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8+3$	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8-3$	Normal
III	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8+4$	$T_{\mathrm{comf}}=0.33·T_{\mathrm{rm}}+18.8-4$	Moderate

explains that the standard defines three categories of comfort ranges for different expectations. Moreover, occupants accept temperatures within the comfort ranges as comfortable, and consider temperatures outside of the upper and lower limits too hot and too cold, respectively.

4. Simulation Results and Analysis

The main findings of this study can be divided into two parts. First, the results of the effect of window design and natural ventilation on CO₂ concentration are presented and analysed. Second, the results of thermal comfort performance using an adaptive model are provided and analysed, followed by the discussion of main findings and conclusions drawn from the experimental results in the followed sections.

4.1. Effect of Window Design and Natural Ventilation on CO₂ Concentration

The measurements of indoor carbon dioxide levels were initiated with a 10% window-to-floor ratio as the minimum window area required by the building guidelines in North Cyprus. The window opening ratios ranged from fully closed to fully opened windows, while the window orientations were south-, east-, north-, and west-facing windows, divided into four thermal zones on each floor. To explore the impact of single-side and cross-flow ventilation, various window sizes (i.e., 10%, 25%, and 50% WFR), openings (i.e., 0%, 10%, 25%, 50%, 75%, and 100%), and different window orientations are applied to all zones in the ground, first, and second floor. Initially, a fully closed (0% open) window corresponds to a situation where neither openable windows nor mechanical ventilation is provided. In the free-running period, however, this is not a practical scenario because window-based natural ventilation might be the only means to modify indoor conditions in terms of air quality and thermal comfort. In air-conditioned buildings, the case represents having no adequate mechanical or mixed-mode ventilation. The CO₂ amount of difference for adjacent zones having the same window orientation and design was less than 2 ppm; therefore, the results of the similarly performing zones were excluded.

4.1.1. Results of Single-Sided Natural Ventilation

The indoor carbon dioxide level exceeded the ANSI/ASHRAE 62.1 and WHO recommended threshold (1000 ppm), in all the cases of different window sizes and orientations, when the windows are fully closed. Figure 4 illustrates the percentages of office hours where the CO₂ level is below the WHO threshold (1000 ppm) for first floor zones having a 10% WFR with single-side ventilation.

Table 10. The number of office occupancy hours appearing in the CO₂ categories of BS EN 15251:2007 standard for first floor zones.

WFR (%)	Ventilation Strategy	Opening Ratio (%)	CO2 Categories	Window Orientations
				S Win	E Win	N Win	W Win
10% 25% 50%	Single-side or Cross-flow	Closed	I	0	0	0	0
			II	0	0	0	0
			III	261	261	261	261
			IV	1827	1827	1827	1827
10%	Single-side	10% open	I	515	444	269	314
			II	1239	1498	1561	1698
			III	282	134	234	7
			IV	52	12	24	4
		25% open	I	1891	2024	1980	2059
			II	153	50	93	25
			III	44	13	15	4
		50% open	I	2044	2083	2070	2085
			II	39	5	17	3
			III	5	0	1	0
		75% open	I	2085	2088	2087	2088
			II	3	0	1	0
			III	0	0	0	0
		Fully open	I	2088	2088	2088	2088
25%	Single-side	10%open	I	2039	2081	2043	2080
			II	37	7	40	8
			III	12	0	5	0
		25%open	I	2088	2088	2088	2088

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

summarises the number of annual occupancy hours appearing in each CO₂ category based on the BS EN 15251:2007 standard. When the 10% (or 25%) window-to-floor ratio is closed at all times, none of the zones provides any office working hours that the CO₂ concentration appears under the category I (<750 ppm) and II (750–900 ppm). When the 10% WFR is opened by 10% during occupancy hours (08:00–17:00), considerable improvement can be seen for all window orientations.

When single-side ventilation of a 10% WFR is opened by 10%, the east-facing windows provide more hours within the category I (<750 ppm) for the ground- and second-floor zones, followed by south-facing windows. Zone 1 (SE) had the most efficient natural ventilation performance that dilutes the maximum amount of CO₂ and provides 837 and 790 h (out of 2088 annual occupancy hours) of category I through east- and south-facing windows, respectively. Conversely, most of the category II (750–900 ppm) hours can be seen on the second-floor zones, which ranges between 1514–1770 h in zone 9 (south- and east-facing windows) and 1727–1785 h in zone 11 (north- and west-facing windows). In addition, the zones with south- and east-oriented windows have not recorded any hours in either category III or IV on the second floor. These results were also approximately noticed in the eastern and western windows of the ground floor.

Overall, in the cases of single-sided natural ventilation, the west-facing windows provided the maximum number of annual occupancy hours within category II when the 10% WFR is 10% opened, followed by east-facing windows. Moreover, increasing the ratio of window openings (e.g., equal to or greater than 25%) improves the natural ventilation performance of western and eastern windows, while the south-oriented windows become the least effective window orientation. The performance of different window orientations is convergent in the greater opening ratios, such as 75% window opening and onward, with approximately providing all the annual occupancy hours inside category I. The single-side natural ventilation performance of a 10% WFR having 50% of the area opened is similar to a 25% WFR with a 10% window opening. Furthermore, if a 25% WFR is opened by 25%, all the office working hours appear inside Category I.

Figure 5 and Figure 6 demonstrate the level of CO₂ concentration in warm and cool periods for different window orientations and opening ratios in the case of single-side ventilation for 25% and 10% WFR, respectively. The findings presented in Figure 4 and Figure 5 explain that ground floor zones have a maximum CO₂ level when the windows are fully closed. While, first floor zones have the highest CO₂ concentration when the windows are opened by any opening ratios, particularly the south-facing window in the summer (855 ppm) and north-facing window in the winter (845 ppm). The performance of south- and east-facing windows are noticeably higher than north- and west-facing windows on each floor. In the summer months, all the window orientations perform better than the winter period, except south-facing windows, which show the opposite results. A window opening of 25% provided category I for any window orientation, where the range was between 580–685 ppm in both the warm and cool periods. The various window opening ratios for a 25% WFR show an identical pattern to the 10% WFR with the only difference being that a lesser CO₂ concentration was achieved.

4.1.2. Results of Cross-Flow Natural Ventilation

A cross-flow ventilation strategy was assigned to 10% and 50% (fully glazed wall) WFRs, for which significant improvements can be noticed compared to single-side ventilation scenarios.

Table 11. The number of annual occupancy hours appearing in the CO₂ categories based on BS EN 15251:2007 standard in the case of cross-flow ventilation.

WFR (%)	Ventilation Strategy	Opening Ratio (%)	CO2 Categories	Ground Floor Zones/Windows				First Floor Zones/Windows				Second Floor Zones/Windows
				Z 1 (SE)	Z 2 (SW)	Z 3 (NW)	Z 4 (NE)	Z 5 (SE)	Z 6 (SW)	Z 7 (NW)	Z 8 (NE)	Z 9 (SE)	Z 10 (SW)	Z 11 (NW)	Z 12 (NE)
				S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win
10%	Cross-flow	10% open	I	1849	1492	1280	1505	1904	1533	1421	1653	1901	1549	1487	1710
			II	239	596	804	583	184	555	662	433	187	539	592	377
			III	0	0	4	0	0	0	5	2	0	0	9	1
		25% open	I	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088
50%	Cross-flow	10% open	I	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088	2088

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

summarises the number of annual occupancy hours appearing in each CO₂ category based on the BS EN 15251:2007 standard in the case of cross-ventilation. For a 10% WFR, an opening of 10% can ensure most of the office occupancy hours inside category I and II. This fracture of opening in the case of fully glazed wall offers all the 2088 annual office hours within the category I. This objective can be achieved with 25% window opening in the case of a 10% WFR. Overall, the second floor zones showed better results in its natural ventilation potentials. Taking the second floor as the ideal natural ventilation performance, the most effective window orientations were a combination of the south- and east-facing windows (Zone 9: 1901 h of category I), followed by north- and east-facing windows (Zone 12: 1710 h of category I). However, the least performing window combination for the cross-ventilation method was north- and west-oriented windows (Zone 11: 1487 h of category I).

Finally, Figure 7 and Figure 8 display the CO₂ level in warm and cool months for different zones in the case of cross-flow ventilation for a 10% WFR and fully glazed external wall, respectively. In both window sizes, a 10% window opening can place all the annual occupancy hours inside category I for each zone. Overall, opening 10% of the windows can lower the CO₂ level to under 720 ppm for a 10% WFR and 470 ppm for a fully glazed wall in both winter and summer. In the cool and warm periods, second floor zones record less CO₂ concentration than first and ground floor. Noticeably, the zones with a combination of south and east windows for cross ventilation are more effective than any other window orientations in both the summer and winter months. However, the zones with cross-flow ventilation from the north- and west-facing windows perform less well than other window orientations, particularly in the warm period. Nevertheless, in the cool period, window combinations for cross ventilation show similar results, except a combination of south and east window, which recorded lower CO₂ levels.

4.2. Results of Adaptive Thermal Comfort

4.2.1. Findings of Single-Sided Natural Ventilation Using an Adaptive Model

The results of single-side natural ventilation show that when the zones are assigned the minimum window-to-floor ratio (10%), different performances can be noticed with respect to various window orientations, opening ratios, and floor locations, as reported in

Table 12. The number of comfort hours for adaptive model categories based on BS EN 15251:2007 standard in the case of 10% WFR with single-side ventilation.

Window Opening Ratio (%)	Adaptive Comfort Categories	Ground Floor/Windows				First Floor/Windows				Second Floor/Windows
		Z 1 (SE)		Z 3 (NW)		Z 5 (SE)		Z 7 (NW)		Z 9 (SE)		Z 11 (NW)
		S Win	E Win	N Win	W Win	S Win	E Win	N Win	W Win	S Win	E Win	N Win	W Win
0%	Category I	0	0	285	161	0	8	299	197	9	92	357	276
	Category II	0	12	464	312	1	44	457	327	26	155	514	407
	Category III	0	77	675	468	5	119	633	469	61	222	679	541
10%	Category I	36	223	804	622	47	238	718	556	177	378	617	532
	Category II	92	380	961	818	127	371	896	775	369	547	836	726
	Category III	336	548	1049	919	327	521	1011	888	601	703	977	871
25%	Category I	516	606	603	637	435	538	613	620	611	555	573	565
	Category II	843	745	978	924	744	694	903	884	858	783	805	807
	Category III	1017	883	1217	1099	955	811	1127	1052	990	926	1037	996
50%	Category I	918	607	497	529	825	577	499	543	803	570	459	507
	Category II	1045	918	784	840	987	828	803	819	985	810	754	767
	Category III	1147	1067	1184	1128	1097	987	1109	1077	1097	1041	1015	1001
75%	Category I	902	620	448	498	855	574	468	501	764	572	437	480
	Category II	1088	887	741	786	1040	828	735	783	1003	787	698	734
	Category III	1217	1119	1109	1081	1140	1044	1067	1059	1143	1042	972	1001
100%	Category I	866	576	407	472	837	574	431	475	727	511	416	455
	Category II	1092	857	719	746	1041	825	697	752	986	792	666	706
	Category III	1282	1129	1077	1060	1185	1041	1023	1033	1181	1012	953	982

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

. Firstly, in the case of fully closed windows, the zones provide minimal hours that are comfortable based on the adaptive comfort categories of the BS EN 15251:2007 standard, noting second-floor zones perform better compared to the first floor and ground floor zones, respectively. When a 10% window area was opened, the south-facing windows produce more thermally uncomfortable indoor environments than the other window orientations, followed by eastern windows. Conversely, north- and west-facing windows provide more hours of adaptive comfort, respectively.

Nevertheless, the results of the quarter, half, three-quarter, and full window openings display contradictory window and natural ventilation performances compared to previous scenarios. When a quarter of the 10% WFR was opened, south-facing windows on the second floor achieved the highest number of thermal comfort hours inside Category I and II of the European adaptive comfort model, specifically 611 and 858 h, respectively, out of 2088 annual office working hours. While the other window orientations provided a convergent number of comfortable hours on this floor, which ranged between 555 to 573 h in Category I and 783 to 807 in Category II, it is worth mentioning that the east window represents the least efficient case. On the other hand, southern windows are less effective on the ground and first floors when only a quarter of the window area is opened during office working hours. West- and north-facing windows offer more hours that are comfortable than eastern windows.

In contrast to the 10% and 25% window openings, the southern and eastern windows can perform better than west- and north-facing windows if half, three-quarter, or the full area of the windows is kept open during office hours, regardless of whether it is located on the ground, first, or the second floor. Moreover, through this particular opening ratio, ground floor windows are more efficient than the first- and second-floor windows for all window orientations. Opening 50% of the southern window in zone 1 (SE) provides 918 and 1045 h, zone 5 (SE) contributes to 825 and 987 h, and zone 9 (SE) allocates 803 and 985 h in category I and category II of the adaptive model, respectively.

In the case of a 25% window-to-floor ratio, as presented in

Table 13. The number of comfort hours for adaptive model categories based on BS EN 15251:2007 standard in the case of 25% WFR with single-side ventilation.

Window Opening Ratio (%)	Adaptive Comfort Categories	Ground Floor/Windows				First Floor/Windows				Second Floor/Windows
		Z 1 (SE)		Z 3 (NW)		Z 5 (SE)		Z 7 (NW)		Z 9 (SE)		Z 11 (NW)
		S Win	E Win	N Win	W Win	S Win	E Win	N Win	W Win	S Win	E Win	N Win	W Win
0%	Category I	0	0	307	99	0	0	317	127	1	10	354	178
	Category II	0	0	491	181	0	0	474	215	2	35	511	281
	Category III	0	0	651	303	0	5	625	326	7	83	654	388
10%	Category I	65	294	571	566	65	270	584	532	137	393	554	511
	Category II	154	426	883	799	137	380	849	758	270	553	774	715
	Category III	301	564	1149	948	259	513	1084	909	440	693	1007	897
25%	Category I	384	516	469	538	310	450	461	523	434	507	433	509
	Category II	642	703	730	781	549	635	723	760	661	707	701	725
	Category III	837	829	1052	1031	770	770	1021	988	870	898	956	931
50%	Category I	675	549	407	478	581	514	421	483	644	522	408	457
	Category II	885	789	663	759	827	732	663	755	884	762	636	719
	Category III	1057	965	968	1007	993	885	957	988	1062	963	917	952
75%	Category I	765	544	391	455	699	526	391	466	685	518	396	443
	Category II	966	794	653	734	910	749	635	733	949	770	627	703
	Category III	1126	1006	958	1001	1069	938	920	985	1093	985	885	948
100%	Category I	785	552	385	465	746	527	378	461	705	517	387	434
	Category II	999	802	640	705	950	765	628	721	972	783	631	691
	Category III	1155	1024	965	989	1096	967	911	974	1123	994	867	942

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

, north- and east-oriented windows performed slightly better only when 10% of the window area was open, compared to the same scenario of 10% WFR. Conversely, northern and western window orientations presented a less effective performance in all window-opening ratios on each floor location. In contrast to the 10% WFR case, increasing the opened portion for south- and east-facing windows offer more hours in category I and II on each floor. The other window orientations reduce their efficiency with a larger window opening area regardless of the floor location. Overall, the order of most and least efficient window orientations is almost the same as to the 10% WFR. Figure 9 and Figure 10 illustrate the effect of window design on the thermal comfort performance of a naturally ventilated office building during cool and warm periods. Both 10% and 25% window-to-floor ratios manifest comparable results with the domination of too warm percentages in the summer months nearly in all window-opening ratios. By looking at a 10% window opening in both the window sizes, one can notice that approximately all window orientations are considered too warm during the summer months. Furthermore, in the cool period, south-facing windows represent the worst scenarios when the windows are closed, particularly on the ground and the first floor, with comfort around only 30% of the time, while 70% is considered too warm as a reason of overheating, mostly by internal gains, as well as solar radiation. A 10% window opening offers the least amount of hours that are considered comfortable according to category III of the European adaptive model, which is less than 10% during the warm period. Nevertheless, a slightly better performance can be seen in the case of 25% WFR.

When opening quarter of the window area, nearly all window orientations perform better than the 10% window opening in both seasons, noting that the eastern windows are less effective than other window directions. The case of 25% WFR slightly improves thermal performance in the warm period but reduces the number of acceptable hours in the winter through the increase in cooler sensations. The half window opening enhances indoor thermal comfort in the warm period while simultaneously decreasing the number of hours that appear in the acceptable range of category III of adaptive comfort.

4.2.2. Findings of Cross-Flow Natural Ventilation Using Adaptive Model

Table 14. The number of comfort hours for adaptive model categories based on BS EN 15251:2007 standard in the case of 10% WFR with cross-ventilation strategy.

WFR (%)	Ventilation Strategy	Opening Ratio (%)	CO2 Categories	Ground Floor Zones/Windows				First Floor Zones/Windows				Second Floor Zones/Windows
				Z 1 (SE)	Z 2 (SW)	Z 3 (NW)	Z 4 (NE)	Z 5 (SE)	Z 6 (SW)	Z 7 (NW)	Z 8 (NE)	Z 9 (SE)	Z10 (SW)	Z11 (NW)	Z12 (NE)
				S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win
10%	Cross-flow	10% open	I	409	494	676	666	443	500	638	595	614	600	554	575
			II	646	807	932	864	670	781	873	839	819	835	793	823
			III	869	984	1066	1031	897	969	1019	1021	991	956	957	1019
		25% open	I	801	855	479	639	787	790	473	601	706	677	450	543
			II	1002	1029	774	938	989	974	742	893	942	902	688	809
			III	1169	1105	1089	1172	1132	1121	1029	1088	1133	1085	956	1027
		50% open	I	660	678	412	537	637	629	404	525	550	539	375	476
			II	1022	1012	671	783	991	940	649	755	887	848	633	701
			III	1256	1147	996	1091	1211	1209	969	1039	1158	1127	917	983
		75% open	I	572	520	388	473	556	496	385	467	476	458	377	449
			II	949	951	648	722	907	919	635	701	796	824	619	677
			III	1267	1191	1023	1079	1206	1213	935	1005	1137	1111	902	948
		Fully open	I	525	466	392	421	501	451	374	432	457	422	381	408
			II	876	880	649	704	841	850	618	686	758	786	609	659
			III	1290	1206	1018	1080	1198	1213	960	1009	1124	1110	910	958

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

and

Table 15. The number of comfort hours for adaptive model categories based on BS EN 15251:2007 standard in the case of 50% WFR with cross-ventilation strategy.

WFR (%)	Ventilation Strategy	Opening Ratio (%)	CO2 Categories	Ground Floor Zones/Windows				First Floor Zones/Windows				Second Floor Zones/Windows
				Z 1 (SE)	Z 2 (SW)	Z 3 (NW)	Z 4 (NE)	Z 5 (SE)	Z 6 (SW)	Z 7 (NW)	Z 8 (NE)	Z 9 (SE)	Z10 (SW)	Z11 (NW)	Z12 (NE)
				S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win	S + E Win	S + W Win	N + W Win	N + E Win
50%	Cross-flow	10% open	I	212	295	443	480	221	304	443	472	352	364	425	488
			II	324	460	714	721	339	465	681	689	500	536	653	713
			III	462	649	950	925	483	655	917	908	652	747	887	821
		25% open	I	424	539	431	503	423	525	423	490	484	536	405	485
			II	611	813	649	741	600	771	636	730	692	787	628	707
			III	772	887	931	986	770	984	913	950	897	976	876	929
		50% open	I	511	681	419	485	488	655	411	483	505	631	398	443
			II	722	914	631	740	703	886	638	722	775	859	636	703
			III	935	952	909	972	918	1061	894	944	983	1029	871	915
		75% open	I	544	719	415	469	516	676	402	463	535	640	392	451
			II	784	940	645	730	757	914	626	718	799	889	628	701
			III	983	971	880	958	963	1079	877	928	1014	1041	860	907
		Fully open	I	557	722	417	481	544	692	399	466	542	637	392	448
			II	812	955	631	727	788	918	627	716	817	894	614	693
			III	1015	974	869	945	993	1088	857	932	1027	1044	857	917

* Blue colour and orange colour indicate the most and least effective window orientations respectively.

outline the number of office occupancy hours appearing in the European adaptive comfort categories in the case of 10% and 50% WFR with cross-ventilation. In the case of a fully glazed external wall, cross-ventilation improves indoor thermal comfort when increasing window opening ratios. When opening 10% of the window area, the zones that have a window combination of the north- and west-facing windows for the 10% WFR and east-facing windows for the fully glazed wall display better results. Conversely, increasing the window opening from 25% to 100% can gradually provide a greater number of comfortable hours for the zones with a window combination of the south- and east-oriented windows and a 10% WFR as well as south- and west-facing windows for the fully glazed wall. Such increments in window opening confirm that cross ventilation form north- and west-oriented windows have the least efficient natural ventilation performance compared to other window orientations in any window size and opening ratio.

Cross ventilation through a 10% WFR with various window orientations, openings, and floor locations are presented in Figure 11. First, a 10% window opening is least effective in the overheating period but performs better than other scenarios in the winter months. About 30% to 40% of the occupancy hours were thermally acceptable when a half area of the window was opened in the warm period. Fully opened windows raise this percentage, with 50% of the office occupancy time being comfortable. In general, having cross ventilation through a combination of the north- and west-facing windows is the most effective case in the warm period, in nearly all opening scenarios. Although this situation could also be observed in the cool period if only 10% of the window area is opened. A scenario of having cross ventilation from the south- and east-oriented windows performed better in the winter months and at opening ratios larger than 10%.

The sun’s intense rays reduced the effectiveness of cross-ventilation in the case of fully glazed external windows, as illustrated in Figure 12. Unshaded large glass surfaces can receive a significant amount of harmful solar radiation, which results in space overheating in the summer months. It was observed that a 10% window opening led to more than 50% too warm condition even in the winter for the windows that receive a greater amount of solar radiation (i.e., south- and east-oriented). Despite the fact that greater window openings can cool down the indoor temperature, the too cool condition raises in the zones with the north-and west-facing windows when the windows are kept open during the occupancy hours in the cool period. The occurrences of zone overheating stayed similar to testing various window-opening scenarios. Therefore, protecting windows or solar control is highly recommended if better thermal comfort conditions are desired in naturally ventilated office buildings in the Mediterranean climate.

5. Discussion and Concluding Remarks

5.1. Window and Natural Ventilation Performance in Terms of “Indoor CO₂ Level and Thermal Comfort”

Opening a window is a common and simple way of using natural ventilation to provide fresh air and cool the internal spaces of a building, but the airflow that occurs in this process is rather complicated due to the involvement of several parameters. The level of airspeed, wind direction, the temperature difference between inside and outside, pressure variations, and turbulence characteristics determine the amount of air coming through the openings. From an architectural point of view, the amount of airflow also depends on the size, orientation, location, fracture of opening, and type of window. Single-sided natural ventilation can become more complex compared to cross-flows by reason of involving both wind and thermal effects at the same time. In single-sided ventilation, the airflow through openings is mainly driven by the turbulence in the wind, in which space blocks the prevailing wind [4].

The results of this study indicate that, in the case of closed windows of any window size, location, or orientation, an average CO₂ concentration exceeding 2000 ppm can lead to various symptoms, and occupants are more likely to complain of headache, fatigue, and tiredness. In the free-running period, the window opening is a fundamental method of ventilation and air conditioning; thus, occupants use windows and other physiological adaptation mechanisms to maintain indoor air and thermal conditions. Therefore, closing windows is not acceptable neither for indoor air nor for thermal comfort conditions, even in the winter months. Moreover, in all the window orientations, first-floor zones recorded the worst ventilation performance in terms of CO₂ contamination as a reason for occurrence possible wind turbulence.

Table 16. The most and least effective window orientations for providing a maximum number of acceptable hours based on the CO₂ concentration category I (BS EN 15251:2007).

Ventilation Strategy	Window Size (WFR)	Effective Openings *	Window Openings (%) and Best/Worst Orientations
			10%		25%		50%, 75%, 100%
			Best	Worst	Best	Worst	Best	Worst
Single-side	10%	None	West, East	South	West	South	West, East	South
	25%	All openings			All occupancy hours appear in category I
Cross-flow	10%	None	South + East	North + West	All occupancy hours appear in category I
	50%	All openings	All occupancy hours appear in category I

* Comparing different window sizes for the same ventilation strategy.

presents the most and least effective window orientations, in terms of providing a maximum number of hours within category I CO₂ concentration based on the BS EN 15251:2007 standard, against different ventilation strategies, window sizes, and opening ratios. In the case of single-sided ventilation, the west- and east-facing windows provided more hours inside category I and II, while the south-facing windows represented the least effective orientation. These findings comply with the predominant wind directions and air velocity in Famagusta, presented in Section 3.2. A 10% WFR needs to be fully opened to provide all the occupancy hours inside category I, while for a 25% WFR, any window orientation having an opening ratio ranging between 25% to fully opened widows can ensure category I of the CO₂ concentration for the 2088 occupancy hours. Cross-ventilation scenarios are more efficient in terms of allowing a greater amount of airflow to pass through openings. Cross-flow by a window combination of the south- and east-facing windows is the most effective case. Conversely, the north- and west-oriented windows offer the least effective cross-ventilation scenario.

Table 17. The most and least effective window orientations for providing a maximum number of acceptable hours based on the European adaptive comfort (BS EN 15251:2007).

Ventilation Strategy	Window Size (WFR)	Effective Openings *	Window Openings (%) and Best/Worst Orientations
			10%		25%		50%, 75%, 100%
			Best	Worst	Best	Worst	Best	Worst
Single-side	10%	All openings	North	South	North, West	East	South	North
	25%	None	North	South	West	South
Cross-flow	10%	10%, 25%	North + West	South + East	South + East	North + West	South + East	North + West
	50%	50%, 75%, 100%	North + East		South + West		South + West

* Comparing different window sizes for the same ventilation strategy.

outlines the most and least effective window orientations, in terms of providing a maximum number of acceptable hours according to the European adaptive comfort categories, against different ventilation strategies, window sizes, and opening ratios. In the case of small windows, the least amount of airflow cannot overcome the overheating problem caused by internal gains and direct solar radiation. Therefore, northern windows (in the case of single-side ventilation) as well as north- and west/east-facing windows (in the case of cross-ventilation) provide more acceptable hours of the European adaptive comfort categories due to their receiving a lesser amount of solar radiation. The southern windows (in the case of single-side ventilation) as well as a combination of the south- and east-facing windows (in the case of cross-ventilation) present less effective scenarios. Nevertheless, larger window sizes and opening ratios allow a greater amount of fresh air, from the predominant wind directions of the study location, to enter and cool the spaces; thus, southern windows, as well as south- and east/west-facing windows, turn out to be more effective window orientations.

In general, northwest zones performed better compared to southeast zones on all the floors. Referring to a previous study [5], one interpretation for this situation might be the lesser amount of solar radiation received by those zones due to unshaded windows and inappropriate window material. When a zone has a north-facing window, a greater number of comfortable hours can be achieved. West-oriented windows come in at the second position, followed by the east- and south-oriented windows, respectively. Owing to the fact that unshaded south windows can result in the overheating of internal spaces, one can perceive that in the cases of closed and 10% opened windows, the south-facing windows produce thermally uncomfortable indoor environments. In these cases, the amount of airflow from natural ventilation cannot confront the elevated temperature from external and internal gains. Therefore, the zones with south-oriented windows can have minimal comfortable hours based on adaptive comfort categories.

However, it was observed that three-quarter and full window openings result in a less effective window and natural ventilation relationship in terms of thermal comfort performance compared to quarter and half window openings. This is because larger opening portions can increase the risk of overheating and overcooling on the indoor environment due to the extreme outdoor conditions in both summer and winter periods. Furthermore, larger window areas and opening ratios allow a greater amount of airflow from natural ventilation, while this does not guarantee improved indoor thermal conditions. A larger window area contributes to more heat gain and loss if a suitable window material is not selected or the window area is not protected from direct sun radiation. In contrast to the 10% WFR case, increasing the opened portion for south- and east-facing windows offer more hours in category I and II on each floor. The other window orientations reduce their efficiency with a larger window opening area regardless of the floor location. In the case of a fully glazed external wall, cross-ventilation improves indoor thermal comfort when increasing window-opening ratios.

5.2. Concluding Remarks and Recommendations

In the Mediterranean climate, window-based natural ventilation has a significant potential to improve indoor environmental conditions in free-running period. Therefore, the effectiveness of natural ventilation is extremely associated with early window design and post-occupancy user behaviour. In naturally ventilated buildings, indoor air quality and thermal comfort have a close correlation with each other, thus an “indoor air quality–thermal comfort” dilemma exists. This study examined the relationship between window design and natural ventilation performance in the Mediterranean office buildings in terms of the level of CO₂ concentration and thermal comfort condition. The study applied an experimental method of computational modelling and simulation utilising TAS Engineering software to perform dynamic thermal simulations. The building was designed as a three-storey office building with four thermal zones on each floor, while different window sizes, orientations, and opening scenarios were studied for both single-side and cross-ventilation strategies. Carbon dioxide concentration categories and the adaptive comfort model were determined and assessed based on the BS EN 15251:2007 standard. The study was limited to a three-storey office building, a floor layout with a 1:1 aspect ratio, common materials in envelope construction of the study location, unshaded windows (neither from external nor from internal sides), and a high-occupancy office. Therefore, it presents the following concluding remarks:

• Closed windows for any window size, orientation and location cannot provide any office working hours that the CO₂ concentration appears under category I and II according to the BS EN 15251: 2007 standard. In addition, the CO₂ level exceeds the recommended threshold (1000 ppm); it also reaches 2000 ppm, for which occupants may suffer from sick building syndrome (SBS).
• In the free-running period, a window opening is the main method of ventilation and cooling, thus occupants use windows as well as other physiological adaptation mechanisms to maintain indoor air and thermal conditions. Therefore, closing windows is not acceptable, neither for indoor air nor for thermal comfort conditions, even in the winter months.
• Natural ventilation performance depends on the direction of the wind, air velocity, and the turbulence characteristics of the wind.
• From an architectural point of view, window design, including various parameters, highly effects natural ventilation performance. Thus, architects should study and understand the relationship between window design and natural ventilation in a particular climatic condition, to help them make informed decisions in the early design stage.
• Cross-ventilation scenarios are more efficient in terms of allowing a greater amount of airflow to pass through openings. Cross-flow by a window combination of the south- and east-facing windows is the most effective case. Conversely, the north- and west-oriented windows offer the least effective cross-ventilation scenario.
• Despite the existence of a cross-ventilation strategy, the sun’s harmful rays could reduce the potential of this effective passive strategy. It was observed that larger window sizes and opening ratios could decrease the effectiveness of window and natural ventilation due to the extreme outdoor weather conditions in both the summer and winter months.
• Overall, the results of unshaded windows of this study indicate that single-sided ventilation through a small window size (i.e., 10% WFR) with half to fully opened area can be more effective than larger window sizes of the same ventilation strategy, and even more effective than cross-ventilation of various window designs in adjacent walls.
• Floor location has its effect on the window and natural ventilation performance in a way that the windows of the higher floor zones are more effective than those in the lower floors do.
• Natural ventilation performance decreases in the first-floor zones, showing higher carbon dioxide levels, namely for the south-facing window in the summer and north-facing window in the winter.
• Natural ventilation performance shows less efficient in terms of diluting CO₂ contaminant in the cool period compared to the warm period.
• Unshaded windows, even with the most effective design and ventilation strategy, can only provide 50% to 60% of the office occupancy time as thermally acceptable for adaptive thermal comfort.
• To adopt passive design strategies effectively in the Mediterranean climatic, it is important to consider every building envelope element, such as the optimal window design attributes, window-to-floor area, window type, appropriate glazing materials, window orientation, and the required shading ratios to improve indoor thermal comfort and reduce CO₂ levels. More studies are required to address conflicting performance criteria simultaneously in naturally ventilated office buildings.
• A performance-based window design model can guide architects toward making knowledge-based and informed-decisions in the early architectural design stages.