1. Introduction
Nowadays, there is a trend towards multi-storey cross-laminated timber (CLT) buildings. Due to this trend, the research needs to evolve a comparison between traditional concrete buildings and CLT buildings. Fires and smoke in multi-floor buildings are well known threats to individuals and property. Use of CLT as a structural element in mid- and high-rise buildings is limited owing to its combustible nature. Many multi-storey timber buildings have been constructed, and most of them have not complied with fire safety or have very little data about fire performance [
1]. The fire performance of the CLT structural building can be accurately modelled by performing full-scale fire experimental or numerical simulation using CFD tools. However, a full-scale test on high-rise CLT buildings was never performed to obtain complete information about fire spread, heat temperature or heat release rate. Furthermore, fire and smoke models for CLT buildings are very limited compared to a traditional concrete building.
Understanding the modelling of the fire performance of multi-storey CLT buildings is necessary to ensure the fire resistance capacity of timber structures is adequate for occupant safety and property protection. This also assists engineers in designing buildings with sufficient fire protection by predicting the fire temperature, time to flashover, passive fire resistance and fire behaviour inside and outside the building.
During the recent few decades, more than 70% of people around the world have lived in timber structure houses [
2]. CLT is a large-scale modern engineering wood product that involves multiple layers of lumber boards [
3]; the characteristics of CLT such as rigidity and strength, allow it to be used in high- and mid-rise buildings. Several tall timber buildings have been constructed globally, such as the 14-storey Treet building in Bergen, Norway, opened in 2015 [
4], the 10-storey 25 King building in Brisbane, Australia opened in 2016 [
5] and the 10-storey Forte Docklands building in Melbourne, Australia opened in 2013 [
6]. Currently, the Tallest Timber building tower is Under Construction in Sydney, Australia, which will be 40-storey once complete in 2025 [
7].
Many experiments have been carried out on CLT structures to investigate and evaluate fire performance. Su et al. (2018) [
8] performed full series experiments for full-scale rooms encapsulated using mass timber construction to provide further understanding of the fire behaviour of mass timber elements. Emberley et al. (2017) [
9] conducted small and large-scale fire tests on CLT compartment fires; the internal walls were protected by non-combustible board except one wall which was exposed to fire. Wood cribs were used as fuel load. Heat flux, gas flow velocities and gas temperature were measured. Hoehler et al. (2018) [
10] investigated the contribution of CLT building elements in compartment fires, where six large-scale fire tests were conducted. The residential contents, CLT structural panels and furniture, were used to obtain 550 MJ/m
2 of fuel. The gypsum board was used to cover CLT exposed surfaces. The experiment’s results demonstrated that the exposed surface of CLT and ventilation condition played a crucial effect in the experimental data results, and that the gypsum board was capable of preventing or delaying CLT’s participation in the fire. As a result of the experimental study demonstrating that it was possible to minimise the delamination due to fire, it recommended the use of heat resistant adhesives in CLT. Gorska et al. (2021) [
11] carried out experiments to obtain data concerning mass timber compartments by study the burning behaviour of timber, flow fields and gas phase temperatures.
Despite the lack of numerical simulation studies using CFD of mid- and high-rise CLT buildings, there are many fire studies of traditional concrete buildings using CFD. Fernandes et al. (2021) [
12] studied the radiative heat transfer in fire using FDS for an open and a closed compartment. The liquid fuels for each model were methanol, heptane and ethanol. Betting et al. (2019) [
13] used FDS to validate the experimental study of smoke dynamics in a compartment fire. Long-fei et al. (2011) [
14] carried out numerical simulation of high-rise buildings to analyse the spread of fire and temperature distribution. Yi et al. (2019) [
15] used FDS to simulate fire flame spread outcomes in buildings. Good prediction results were also achieved with FDS for simulation of fire spread characteristics in several types of overcrowded buildings such as supermarkets [
16], hospitals [
17], offices [
18] and theatres [
19]. The CFD study of fire in CLT buildings is almost non-existent in open literature.
The present research was conducted to study the performance of high-rise CLT buildings under fire. The numerical simulation was performed to predict the fire spread in a 10-storey CLT building. The numerical simulation focused on the air temperatures inside and outside the building, gas concentrations and HHR prediction of furniture and wood cribs. The built-in pyrolysis model in FDS v6.7 was used, incorporating thermal and kinetic parameters. The furniture and wood cribs were allowed to ignite by themselves in simulation. The research aims at assessing the fire safety of CLT building. The present research methodology and simulation data may provide a good benchmark for fire engineers and future fire modelling research on timber buildings.
In this work, CFD investigation was performed using Fire Dynamics Simulator (FDS v.6.7), which was developed by NIST [
20]. FDS solves Navier–Stokes equations and governing equations of combustion materials [
20,
21]. The software simulates fire distribution and smoke propagation in buildings [
22]. Turbulent fluid flow behaviour is included by adopting Large Eddy Simulation (LES). The FDS modelling allows access to real time data and reliable information that would help control all the factors present in a real-world fire situation.
3. Pyrolysis Model
Several fire models have been used [
28] to study fire behaviour in building structures, where fire models range from simple models using maximum gas temperatures of a compartment fire to a complicated CFD model using software such as FDS v.6.7 [
28]. Pyrolysis is carried out in FDS using appropriate material properties. FDS can handle both liquid and solid fuels [
20]. Several layers of various materials can be assumed to exist on a solid surface. FDS assumes local thermal equilibrium between the volatiles and solids. FDS produces volatiles by converting appropriate amount solid fuels to gaseous phase under appropriate thermodynamic conditions.
The pyrolysis in FDS model is modelled using a finite rate reaction instead of the default mixing-controlled model. All gaseous species are identified, and the gaseous species produced from solid-phase reactions are defined.
The mass fraction
of solid component α is calculated using the density
of the solid component α, and density of composite material
:
The densities of composite material
is given by:
where
is representing the number of solid material components. The general equation for a material that undergoes one or more reactions is:
where
(in unit
) is the rate of consumption of component α. The second term on the right side in Equation (4) is the production rate
; it represents the sum of material components α, produced by reactions with a yield of
.
The rate of reactions
are a function of temperature and concentration of local mass, representing the amalgamation of power functions and Arrhenius through of the component material temperature (
), and the rate of reactions
including the optional term:
where
is the optional threshold temperature, which allows definitions of ignition criteria and non-Arrhenius pyrolysis. A and E are parameters of the kinetic constants, as shown in Equations (7) and (8), respectively, and they can specify by the link temperature
and rate
.
If
is equal to 1, in a simple pyrolysis model between a single reaction with a single component,
is a heating rate (in unit
). Further details can be found in the FDS manual [
20].
The rate of volumetric production for each gaseous volatile is calculated using the production rate
, and initial density of the solid layer
:
The gases were assumed to be transferred immediately to the surface material. The surface thickness (L) was used to calculate the mass fluxes:
The heat conduction equation of the reaction material presents in Equation (11), where
is the term for a chemical source. The equation consists of the heat of combustion
which provides the heat of reaction.
The evaporation rate of liquid fuel using the Clausius–Clapeyron equation is a function of the concentration of fuel vapour and the temperature of liquid above the combustible surface material form.
where
is the volume fraction of volatile combustible gas above the fuel surface, which is a function of molecular weight (
), heat of vaporisation (
and the liquid boiling temperature (
. As a result, the mass flux
of the vapour fuel above the surface, at the start of modelling was created first by the FDS user through specifying the initial vapour volume flux
. However, in the modelling, the evaporation mass flux is updated by identifying the difference between the specified equilibrium value obtained from Equation (2) and the predicted fuel vapour volume fraction near the surface.
Furthermore, in the modelling of thermal conductivity, the liquid fuel is considered a thermally thick solid. In the FDS model, convection is not taken into consideration for liquid fuels. In predicting heat transfer, temperatures, and fire spread, the FDS user can specify the HRR as an input parameter. This HRR of fuel is converted into fuel mass flux
[
29] at solid fuel surface. This mass flux of fuel
is calculated as a function of specific time ramp
and heat release rate per unit area
, as shown in Equation (14). Thus, the input value of HRR in FDS can provide fuel mass loss rate.
As a result, the input value of heat release per unit area in FDS modelling can give the mass loss rate. The HHR of gasoline was identified as an input parameter with increasing heating rate according to the experimental data in [
23]. As mentioned by Authors of software developers [
21], in the FDS liquid fuel model will generate some issues. The authors also figured out the obstacles in previous work [
29,
30].
In this paper, the numerical study focused on pyrolysis of the solid wooden fuel. The burning rate (
) of wooden material after flashover in the compartment fire is commonly measured using Equation (15). The burning rate at the decay stage after flashover depends on ventilation rather than fuel load. The modelling of flashover and flame spread phenomenon is taken from [
31], where the flashover phenomenon occurs when the upper gas layer temperature reaches 600 °C under free burn conditions and then the transition from flashover to fully developed fire occurs under favourable conditions. The details can be seen in [
32] which is taken as a reference model.
where
is the height of the ventilation opening (m),
is the ventilation area (m
2), and 5.5 is a typical coefficient value for wood material [
33].
4. Results and Discussion
Following the experimental data [
23], flashover has been taken based on thermocouple temperature at the height of 1.83 m above the finished floor inside the apartment, when at least two of the thermocouple’s readings reach up to 600 °C [
23].
Table 2 shows the present and experimental [
23] flashover timings in the bedroom and living room at locations G and H, respectively (shown in
Figure 1).
Table 2 also compares the present and experimental [
23] time taken for apartment door failure after fire ignition.
The present prediction shows flame spread out of the apartment door and propagating into the corridor after 33 min, whereas in experiment [
23], the flame propagated into the corridor from the apartment after 26 min. This may be attributed to the possibility that the fire door frame was either not fitted properly during the experiment or had inherent flaws in it, as explained in [
23]. The apartment door was closed at the start of the experiment; it failed after 57 min in experiment [
23], and it failed after 62 min in the present work. Additionally, the failure of the automatic door to shut down properly, as explained in [
23], may be a reason for the discrepancy.
Figure 4 and
Figure 5 compare the experimental temperature at 1.83 m height in the living room and bedroom at locations G and H, respectively (see
Figure 1) against the predicted temperatures. The figures illustrate flashover incidents at 600 °C. Figures also show the reasonable agreement of peak temperature in the living room, where the experimental value is 1100 °C and in the predicted value is 1150 °C. The peak temperature recorded in the bedroom is 1000 °C for both the experimental [
23] and present prediction. These results show that the experimental and predicted temperature compared well with a small difference in time of occurrence of the peak value.
Comparisons of temperatures, as a function of time at the height of 1.52 m along wall B and wall D in locations J and K (see
Figure 1), are shown in
Figure 6 and
Figure 7. Each location has three places at different depths, one at the wall surface and two embedded at depths 12 mm and 70 mm. The maximum experimental temperature recorded on wall B at location J surface was 1150 °C and in the predicted model was 1050 °C, as shown in
Figure 6. The temperature curves demonstrate good agreement on the same location at 12 mm and 70 mm depths. Temperature results on wall D at location K, also show a similar trend, where the maximum temperature at the surface in the predicted model and experimental data was 1100 °C, as shown in
Figure 7. Furthermore, in
Figure 6 and
Figure 7, the temperature results at 12 mm and 70 mm depths did not exceed 100 °C and 40 °C, respectively.
The predicted and experimental temperature in the living room ceiling surface at location I, is presented in
Figure 8. The peak measured temperature at the surface is the same as the predicted value. However, the simulation time to reach peak temperature is lower than the experimental data. The comparisons of temperature at depths 12 mm and 70 mm show good agreement. Nevertheless, it was observed that the level of agreement between the model predictions and the experimental data is remarkable.
Figure 9 demonstrates temperatures and fire spread outside the building, along wall A (see
Figure 1), where
Figure 9a,b show predicted models after 14 and 18 min, respectively.
Figure 10 shows the velocity contours associated with fire spread outside the CLT building model along wall A: (a) 14 min after the fire ignition (b) 18 min after the fire ignition. It is evident from the velocity contours that the velocity value in the fire is in the range of 5 m/s to 10 m/s; hence, FDS is suitable for the present study.
Comparisons of temperatures as a function of time between the predicted model and experimental data outside the building along wall A at 3 m and 6 m heights are presented in
Figure 11 and
Figure 12, where locations of thermocouples are shown in red circular points.
Figure 11 indicates that the maximum peak temperature recorded for both the prediction and experimental data at height of 3 m was 1100 °C. At the height of 6 m, the peak temperature was 900 °C for both prediction and experimental data.
Figure 12 shows comparisons at different heights (3 m and 6 m) above the bedroom, where the temperatures predicted by FDS are almost identical to experimental results.
Temperatures outside the building along wall A, at different heights (9 m, 12 m, 15 m, 18 m) are presented in
Figure 13. Red circular points show locations of thermocouples. Predicted results show that temperature decreases from the 3rd to 6th floor by an average of 100–200 °C per floor. However, above 18 m, physically from 6th to 10th floor, only a slight change not exceeding 50 °C in the temperatures was noticed not increase above 50 °C.
Figure 13 illustrates that the peak temperature on the 3rd floor at the height of 9 m was 500 °C. The maximum temperature recorded in the thermocouple on the 4th floor (15 m height) was 300 °C. The figure also shows that peak temperature on the 5th and 6th floor was 200 and 100 °C, respectively.
Figure 14 shows the optimal number of grid resolutions for deriving the acceptable curve of HRR of fire as a function of time. The proposed FDS simulation for the HRR is compared with the experimental results. It can be observed from
Figure 14 that the curves obtained from the grid resolution of the proposed scheme shows a similar trend of curve with the experimental curve. However, the FDS-based simulation shows some fluctuation. The grid resolution for the proposed simulation was also varied; however, no change was observed on the predicted value of HRR. The predicted maximum value of HRR was 22 MW at approximately 22 min. In experimental results, the HRR peak value was 18.5 MW at 19 min. One reason for this difference may be because the fire products collector (FPC) which was used in the experiment was taken offline to change the gas filter for a certain time during the experiment [
23]. Consequently, the FPC hood could not capture all combustion products.
The comparisons of oxygen and carbon dioxide concentrations between experimental data and the present simulation results are shown in
Figure 15 and
Figure 16. The oxygen gas analyser was placed in the same location in the corridor on all floors, as shown in
Figure 1 by the letter N. The experimental result of
concentration on the first floor was very close to numerical simulation, as shown in
Figure 15. Figure also shows no change in
concentration on the second floor. The change in
concentration was only on the first floor. No change in
concentration was observed between the second to tenth floors, due to the fire activity occurring only on the first floor.
Figure 16 shows that
concentration increased at the same time of apartment door failure. The door failure occurred after 62 min in the FDS simulation and 57:54 min in the experiment, as shown in
Table 2. The present prediction results and the experimental data showed no change in
concentration on the second floor, as shown in
Figure 16. This indicates that there was no fire activity on any floor above the first floor. The results show that the present numerical approach can reliably estimate
and
concentrations in building fire scenarios.
5. Conclusions
Numerical simulations were carried out to study fire scenarios in a multi-storey cross laminated timber (CLT) building. The CFD software FDS v.6.7 was used. Predicted results were validated by comparison with available experimental data. The experimental data were taken from a full-scale test performed on a two-storey CLT residential building. The fire scenarios in the predicted model were the same as in the experiment. Comparison of temperatures in the living room and bedroom showed reasonable agreement with experiments. In the living room, the flashover occurred after 16 min when two thermocouple temperatures reached up to 600 °C. Results showed that the fire spread rapidly in the period between 12–20 min, when the maximum temperature recorded by thermocouples at 1.83 m height was 1100 °C. In the bedroom, flashover occurred after 21 min, with a maximum temperature of 1000 °C recorded. A good agreement was noticed in the living room on the ceiling surface; the maximum temperature recorded on the ceiling surface reached up to 1200 °C, whereas at 12 mm and 70 mm depths were not exceeding 50 °C and 20 °C, respectively. Experimental data of temperatures on wall B, wall D, and ceiling demonstrated good agreement with the predictions. A reasonable agreement between predicted and experimental temperatures outside the building along wall A on the first and second floors at different heights was obtained, where the peak experimental and numerical temperatures above the living room at height 3 m and 6 m were 1100 °C and 900 °C, respectively. On the other side, above the bedroom at the same height, the temperatures were slightly higher than in the living room, at 1300 °C at 3 m and 1000 °C at 6 m height. This variation was attributed to fuel load in the bedroom being higher than in the living room. Present predicted results were almost the same as experimental results. Temperatures along wall A, from the 3rd to 10th floor, were also predicted by numerical simulation. The predicted results showed the temperatures increased rapidly in the period between 12–20 min. At different heights 9 m, 12 m, 15 m and 18 m, the maximum temperature recorded was 500 °C, 300 °C, 200 °C and 100 °C, respectively. The measured temperatures in the remaining floors above the 6th floor, physically at height 21 m, 24 m, 27 m and 30 m, were less than 100 °C. The predicted HRR during the fire compared very well with the experimental data. The concentrations of and were also recorded on all floors in the corridors. The results demonstrated no change in gas concentration on the floors from 2nd to 10th, due to no fire activity occurring on those floors. The comparison of and concentrations in the corridors on the first and second floors showed good agreement. The results indicate that the CFD tools such as Fire Dynamics Simulator can be used for predicting fire scenarios in high-rise CLT buildings.