3.1. Experimental Studies
The air temperature measured with a 10 s step allowed for the average value for each hour for a two week period to be calculated. The average air temperature values calculated for different points of the room proved to be insignificant fluctuations at different outside air temperatures.
Figure 4 shows the average air temperature values measured at two locations in the room during thirteen two-week periods. Each line corresponds to the daily changes in the average air temperature. Each point corresponds to the mean calculated for each hour of the day from the two-week measurement period. The trajectory of changes in the analyzed parameter in time show minor daily temperature fluctuations in each of the two measurement points. During periods 1–4, the duration of the air ventilation unit supply/exhaust cycle was 2 min (2 min for air supply, and the next 2 min for air exhaust); during periods 5–8, it was 4 min; and during periods 9–13, it was 10 min.
An average of the values of measured temperature for a given hour in a day was calculated for each of the cycles, and inside air temperature values were compared to the outside air temperatures (
Figure 5).
Temperature analysis proved that the values obtained for the workplace and central point of the room satisfied thermal comfort requirements according to the PN-EN 16798-1:2019-06 standard [
39], despite the different values of outside air parameter. No influence of outside air temperature on room chilling was observed.
The next step involved the analysis of inside air temperature dependence on outside air temperature.
Figure 6 demonstrates the obtained results and analyzed whether air supply/exhaust duration would affect the temperature value. The inside air temperature remained within the thermal comfort range throughout the measurement period. The average of the recorded temperature values ranged from 20.2 °C to 22.1 °C, which means that despite supplying low temperature air and regardless of air supply process duration (2 min, 4 min, 10 min), the temperature in the room was stable.
Both in the shortest cycle of 2 min and the longest cycle of 10 min, the values of internal air temperature met the requirements of thermal comfort (
Figure 7 and
Figure 8). The thermal comfort temperatures inside the room were maintained both at the outside air temperature of 4–5 °C and the temperature of −6 °C. At the same time, the temperature of the inside air was lower in the case of the negative values of the outside temperature, but also in this case the values met the comfort requirements.
Examples of days with similar external conditions (temperature −2 ± 4 °C and humidity 80–90%) were selected from the measurement data.
Figure 9 shows the course of the temperature changes over time for two locations of the meters: the workplace and the central point of the room. In both cases, the room met the requirements of thermal comfort regardless of the duration of the cycle. At the same time, the temperatures were lower for the longer cycle than for the shorter.
Average air humidity values measured at different locations in the room proved to be minor fluctuations.
Figure 10 demonstrates the fluctuations of the average air humidity values over time.
Inside air humidity values were compared to outside air humidity in each of the thirteen measurement periods (
Figure 11).
Air humidity analysis proved that the values measured in the room did not always satisfy thermal comfort requirements according to the PN-EN 15251:2012 standard [
40]. The decrease in the relative humidity in the room was observed when the outside temperature was low and the external relative humidity was high.
Figure 12 shows the relationship between the relative humidity of the indoor air and the temperature of the outdoor air. An increase in the indoor air humidity, along with an increase in outdoor temperature was demonstrated. Moreover, when the external temperature equaled −10 to −5 °C, the indoor air humidity did not meet the requirements of thermal comfort in accordance with PN-EN 15251:2012 [
40]. At the same time, the difference between the relative humidity at the two measurement points was small.
The device effectiveness was assessed on the basis of measurements of the supply air velocity and the level of carbon dioxide concentration. The velocity and the supply air stream were measured for each of the analyzed cycles (
Figure 13). The measured values made it possible to determine the air change rate, which was 2.3 h
−1 for the shortest cycle, and 2.7 h
−1 for the longest cycle. For comparison, devices with heat recovery exchangers and reversible fans [
41] exchange the air with an air change rate of 0.18 h
−1. This could be a sufficient value for living quarters, but for an office room, the number of air changes should be higher.
The literature [
42] shows the influence of the pressure difference inside and outside the building on the speed of the supplied air, and thus the amount of air. In the case of the presented analysis, the focus was on measuring the air velocity and amount of air flowing into the room without analyzing the impact of wind conditions on the work of the device.
The air velocity was also measured within the room at three levels: the feet, abdomen, and head. The measurement was carried out in the workplace, at a central point, and at a distance of 70 cm from the supply/exhaust grate. The performed measurements made it possible to calculate the PMV index (predicted mean vote) in accordance with the PN-EN 7730 [
43] standard (
Figure 14 and
Figure 15).
On the basis of
Figure 14 and
Figure 15, it can be seen that in the area of the head, abdomen, and feet, the workplace belongs to the category of room B, according to the classification of the standard PN EN 7730 [
43]. The central point of the room was in category C at the end of the cycle (2 min). In the long cycle (10 min), it belonged to category C for almost the entire duration of the airflow (at all parts of the body). Additionally, the DR (draught rating) was calculated, which defines the percentage of people dissatisfied with the air movement. The analysis showed that in the case of the longest cycle (i.e., with a supplytime of 10 min), for half the time of supply (5 min), in the center of the room at the level of the abdomen, 13–20% of people were dissatisfied with the draught. However, users did not experience any draught in the area of the feet and head, so there will be no feeling of draught at every level of the body in the workplace location. However, at a distance of 70 cm from the supply/exhaust grate at the level of the abdomen, the air movement was strongly felt and the DR was from 37 to 64%. For this location, there was no feeling of draught at the levels of the feet and head. For a 2-min cycle, the index was 0 for all locations and all body parts, which means that there will be no dissatisfied people with the draft.
In the literature [
44], there are efficiency analyses of decentralized devices equipped with two fans. For the efficiency assessment, we used the level of carbon dioxide concentration and radon concentration in the room. The analysis showed that the decentralized devices diluted the gaseous pollutants sufficiently. In the presented case, the measurement of carbon dioxide concentration also showed (
Figure 16) that the façade device sufficiently exchanged the air for fresh air.
The results are presented for an example day. There was a visible increase in the concentration of carbon dioxide upon entering the user’s room. At the same time, with a longer supply/exhaust time (10 min), the maximum value of the carbon dioxide concentration was lower than for the short cycle (2 min). For each cycle length, throughout the entire period of measurements, the concentration of carbon dioxide did not exceed the value of 800 ppm, which means that the room met the ASHRAE [
45] requirements for air quality in offices.
3.2. Statistical Analysis
Measured data were used to carry out the statistical analysis of the unit operation. The two-factor ANOVA was carried out for the temperature characteristic. The grouping variables were: setting with values of 2, 4, and 10 min, and location with values: wp (workplace) and cp (central point).
The zero hypotheses stating equality of the average values of the
temperature characteristic was verified on the basis of all combinations of levels for both equivalent factors and the F statistic was used for this purpose (the ratio of intergroup variance to intragroup variance).
Table 5 contains the results of completed calculations used to verify the hypothesis stating equality of the average values of the
temperature characteristic in groups determined on the basis of both factors.
A value p obtained for statistic F in a completed test of less than 0.0001 allows for the statement that there were at least two groups where the average values of the temperature characteristic differed.
Figure 17 demonstrates in box plots the significance of the effect of the interactions between the factors. The distribution of the
temperature characteristic in groups defined by
setting and
location factors is illustrated in this way.
Figure 18 shows box plots illustrating the distribution of the
temperature characteristic in groups defined by the
setting factor levels.
Figure 19 shows box plots illustrating the distribution of the
temperature characteristic in groups defined by
location factor levels. A statistically significant main effect was observed both for
setting and for
location. Thus, it is well-grounded to apply the Tukey multiple comparison method.
Table 6 contains the calculation results for the
temperature characteristic, carried out according to the Tukey method in groups matching the levels of 2, 4, and 10 min of the
setting factor.
Table 6 shows that the highest average
temperature value should be expected for the 2 min
setting and the lowest for the 10 min setting.
The data in
Table 7 confirm the conclusions derived from
Table 6. None of the achieved 95-percent confidence intervals included zero, which means that the differences between average temperature values for each of the pairs were statistically significant. There is a possibility of the quantitative determination of the differences between average temperature values using 95-percent confidence intervals. For example, for the difference in average temperature values in groups matching the 4 min setting and 10 min setting, the extremes were 0.02 and 0.3. Each value within the interval with specified extremes was treated equally as a potential true value of the analyzed difference. Thus, it should be accepted that an average temperature for the 4 min setting may exceed the average temperature for the 2 min setting by either 0.02 or 0.3.
Table 8 contains the calculation results for the
temperature characteristic, carried out according to the Tukey method in groups matching the following levels: wp (workplace) and cp (central point) of the
location factor.
Table 6 shows that the average values of the
temperature characteristic in the group defined by workplace
location were significantly higher than those corresponding to the central point location.
The data in
Table 9 confirmed the conclusions derived from
Table 8. None of the achieved 95-percent confidence intervals included zero, which means that the differences between the average temperature values for each of the pairs were statistically significant. The data allowed for the quantitative determination of the differences between the average temperature values by way of implementing 95-percent confidence intervals. For example, interval extremes for the difference in average temperature values in groups defined by workplace and central point location were 0.6 and 0.8, respectively. Each value within the interval with specified extremes was treated equally as a potential true value of the analyzed difference. Thus, it should be accepted that an average temperature for workplace location may exceed the average temperature for the central point location by either 0.6 or 0.8.
The next step involved carrying out the two-factor ANOVA for the temperature characteristic with the following grouping variables: setting with values of 2, 4, and 10 min and outside temperature with values of −7 °C and −3 °C.
The zero hypothesis stating equality of the average values of the
temperature characteristic was verified on the basis of all combinations of levels for both equivalent factors. The F statistic was used for this purpose.
Table 10 contains the results of the completed calculations used to verify the hypothesis stating the equality of average values of the
temperature characteristic in groups determined on the basis of both factors.
A value p obtained for statistic F in the completed test of greater than 0.0001 allows to state that the average values of the temperature characteristic did not differ.
Figure 20 demonstrates in box plots the significance of the effect of the interactions between the factors. The distribution of the
temperature characteristic in groups defined by
setting and
outside temperature factors is illustrated in this way.
Figure 21 shows box plots illustrating the distribution of the
temperature characteristic in groups defined by the
outside temperature factor levels.
Table 11 contains the calculation results for the
temperature characteristic, carried out according to the Tukey method in groups matching the levels of −7 °C and −3 °C of the
outside temperature factor.
Table 11 shows that the average temperature values did not differ significantly.
The two-factor ANOVA for the humidity characteristic was carried out in the same way. The grouping variables were: outside temperature with the values of −10.5, −10, −9.5, −9, −8.5, −8, −7.5, −7, −6.5, −6, −5.5, −5, −4.5, −4, −3.5, −3, −2.5, −2, −1.5, −1, −0.5, 0, 0.5, 1, 1.5, 2, 2.5, and 3 °C and location with the values wp (workplace) and cp (central point).
The zero hypothesis stating equality of the average values of the
humidity characteristic was verified on the basis of all combinations of levels for both equivalent factors. The F statistic was used for this purpose (the ratio of intergroup variance to intragroup variance).
Table 12 contains the results of the completed calculations used to verify the hypothesis stating equality of the average values of the
humidity characteristic in groups determined on the basis of both factors.
A value p obtained for statistic F in the completed test of less than 0.0001 allows for the statement that there were at least two groups where the average values of the humidity characteristic differed.
Figure 22 demonstrates in box plots the significance of the effect of the interactions between the factors. The distribution of the
humidity characteristic in groups defined by
outside temperature and
location factors is illustrated in this way.
Figure 23 shows box plots illustrating the distribution of the
humidity characteristic in groups defined by the
outside temperature factor levels.
Table 13 contains the values of the Least Significant Difference LSD and test statistic W for the
humidity characteristic, carried out according to the Tukey method in groups matching the levels of −10.5, −10, −9.5, −9, −8.5, −8, −7.5, −7, −6.5, −6, −5.5, −5, −4.5, −4, −3.5, −3, −2.5, −2, −1.5, −1, −0.5, 0, 0.5, 1, 1.5, 2, 2.5, and 3 °C of the
outside temperature factor.
The tests of multiple comparisons carried out using the Tukey method for the humidity characteristic in groups defined by the outside temperature showed that the highest average humidity value should be expected for the outside temperature of 3 °C, and the lowest for the outside temperature of −10.5 °C.
Figure 24 shows box plots illustrating the distribution of the
humidity characteristic in groups defined by the
location factor levels.
Table 14 contains the calculation results for the
humidity characteristic, carried out according to the Tukey method in groups matching the workplace and central point levels of the
location factor.
Table 14 shows that the average values of the
humidity characteristic in the group defined by the workplace
location were significantly higher than those corresponding to the central point
location.