Fire Model Test on Temperature Field in the Rescue Station of an Extralong Railway Tunnel

A rescue station is necessary for an extralong railway tunnel, whose length is generally greater than 20 km. In the rescue station, passenger evacuation, fire fighting, and protection of passengers are organized. It is important to discover the temperature distribution in a rescue station where a train is on fire. /is paper performs a similarity simulation model test at 1 :10 geometric scale to investigate the temperature field in a rescue station. A gasoline pool fire was used as the fire source. /e influences of the fire source position and ventilation condition on the temperature field were studied. /e results show that (a) the temperature distribution along the tunnel is stable without ventilation, the temperature is lowest when the fire occurs 50m from the entrance; (b) the fresh air stirred up by fans promotes burning and increases the temperature; (c) the chimney effect causes the temperature field to skew in an uphill direction; (d) the opening of both fans in the adit makes the high-temperature zone to connect through; and (e) the temperature increase at the rescue station can be divided into four stages, and the response of different fire source positions to the opening of fans is not consistent. /ese findings provide a basis for personnel escape design and a foundation for further study of temperature distribution in a tunnel with a rescue station.


Introduction
Fire is always the greatest threat to the operation of a long railway tunnel as it produces a high temperature, toxic fumes, and hot smoke.To reduce the risk of tunnel fire, a rescue station is necessary for an extralong railway tunnel, such as the Lötschberg Base Tunnel (34.6 km) and the Gotthard Base Tunnel (57 km) in Switzerland, the Seikan Tunnel (53.85 km) in Japan, the Channel Tunnel (38 km) in the UK, and the Taihangshan Tunnel (27.8 km) and the Wushaoling Tunnel (20 km) in China [1][2][3][4].In the rescue station, passenger evacuation, fire fighting, and protection of passengers are organized.Tarada et al. [5] reviewed the design of the ventilation and risk control systems and proposed that fire fighting and evacuation are especially vital during the operation of a railway tunnel with a rescue station.Kim and Park [6] investigated the relationship between the ventilation system and escape routes of a rescue station in a very long railway tunnel in Korea by using reduced-scale experiments.
Many studies on fire in a tunnel or underground space have been carried out.Kurioka et al. [7] proposed an empirical equation to predict the maximum temperature of the smoke layer under a tunnel ceiling.Wang et al. [8] proposed a theoretical model using dimensional analysis that could better predict the heat of smoke in a tunnel with vertical shafts.Li et al. [9] found through theoretical deduction that the maximum excess gas temperature beneath the ceiling could be divided into two regions with different ventilation velocity.Li and Ingason [10] also confirmed that these empirical formulae can be applied in the case of a large tunnel fire.Kashef et al. [11] took a new approach in studying ceiling temperature distribution in tunnel fires with natural ventilation by conceptually dividing the tunnel into two fire zones.Wang et al. [12][13][14] and Ren et al. [15,16] conducted a series of tests and numerical studies on the fire smoke and the maximum temperature in curved tunnels, together with various fire locations.ey found the smoke movement and the maximum temperature to be strongly dependent on the fire location and obviously different from the straight tunnel fire in curved tunnel fires.Zhang et al. [17] revealed that the utilization of natural wind in the vertical shaft of a super-long highway tunnel can save energy obviously.
Many prototype experiments and field tests have been carried out as well.Yan et al. [18] revealed that the heat transfer on the tunnel liner affects the air temperature in the tunnel greatly without the heat-insulating layer on the liner surface.Hu et al. [19] used full-scale burning tests to test the Kurioka formula and verified the theoretical formula of the maximum temperature under the tunnel ceiling.Ji et al. [20] investigated the influences of different transverse fire locations on the maximum smoke temperature under the tunnel ceiling.In a field investigation, Hu et al. [21] found that the gas temperature decays faster along the ceiling for tunnels with a steeper slope.In the case of twin tunnels, Fang et al. [22] found that there is a "dead zone" ahead of the cross aisle which has a much lower air velocity than in other parts and where hazardous gases are more concentrated and uniformly distributed.
Reduced-scale model experiment has been another popular method in the study of tunnel fires owing to its convenience, ease of control, low cost, and other advantages.Nyman and Ingason [23] performed two reduced-scale tests to explore new correlations between temperature stratification and the Froude number in a tunnel.Fumiaki et al. [24] used a 1/12 scale model tunnel to obtain the temperature characteristics of natural ventilation during smoke extraction in a road tunnel with roof openings.Chow et al. [25] used a reduced-scale experiment to analyze the temperature distribution in an inclined tunnel and found that it was not symmetrically distributed along the sides of the fire.Wang et al. [26] proposed a theoretical model to predict the maximum temperature beneath the ceiling in a tunnel with vertical shafts and compared the calculation results with experimental data.
However, the previous research mainly focused on the maximum temperature under the tunnel ceiling in an ordinary single-tube tunnel.
ere is no research on the temperature-field distribution of the rescue station.A rescue station is important for personnel evacuation in an extralong railway tunnel (Figure 1), and the temperature-field distribution there is a key concern in personnel evacuation.In this study, a reduced-scale model based on the Gaoligongshan Tunnel was used to investigate the temperature field in the rescue station where a train stopped for rescue in the case of a fire.e results have great significance for the design of rescue stations and evacuation plans for extralong railway tunnels.

Model Test
Similarity theory is an important theoretical foundation for a fluid mechanics model experiment.When simulating liquid flow with a free surface, the Froude number is the similarity criterion that must be considered.Based on the results of many verified model experiments, the Froude scaling law is a reliable norm for a model experiment.e model experiment described below is conducted based on Froude scaling.

Similarity Scale.
e results of a model experiment can be considered reliable only if similarity theories which have a significant impact on the model experiment are considered.For this study, a 1 : 10 reduced-scale model was built considering the most important terms and the widely used Froude scaling law.e model included a tunnel, a parallel adit, and nine transverse alleyways.In Froude modeling, the Froude number (i.e., the ratio of inertial force to gravitational force) is determined as follows [27]: where g, V, and l are the gravitational acceleration (m/s 2 ), velocity (m/s), and length (m), respectively; subscript m refers to the model-scale tunnel and f refers to the full-scale tunnel.
When choosing a geometric similarity ratio and gravitational acceleration similarity ratio as the basis for the similarity terms, the paper scale flow velocity (V), time (t), volume flux (Q), temperature (T), density (ρ), viscosity (u), and pressure (P) are described as [28,29] where L is the geometric dimension and the subscript m is related to the model scale and index f is related to the full scale (L m /L f � 1/10 in this model test).

Determination of HRR.
e heat release rate (HRR) is an important parameter in a fire experiment.Taking the requirements of the experiment and the worst-case scenario into consideration and referencing the result of project EUREKA EU 499 [30], the development rate of a train fire is determined as superfast growth, which means the value of the fire's increasing modulus α(kw • s −2 ) is 0.1876, and the value of the peak heat release rate is 15 MW.According to the principle of heat similarity, the HRR in a model tunnel is related to the HRR in a full-scale tunnel as the following equation indicates: Advances in Civil Engineering where L is the length and subscript m refers to the modelscale tunnel and f refers to the full-scale tunnel.us, HRR m can be calculated by equation (3), and its value is 47.43 kW.

Experimental Con gurations.
Referring to the prototype rescue station in the Gaoligongshan Tunnel, a 1 : 10 reducedscale model 60 m in length was built of concrete and bricks.
e gradient of the model rescue station is −2.5%, which is the same as the prototype.e model consists of a main tunnel, a parallel adit, and nine permanently opened transverse alleyways.e geometry of the main tunnel is the same as that of the parallel adit.e width and height are 1.3 m and 0.962 m, respectively, which correspond to 13 m and 9.62 m, respectively, in the prototype.e width and height of each of the nine alleyways are 0.67 m and 0.615 m, respectively, which correspond to 6.7 m and 6.15 m, respectively, in the full-scale tunnel.
e geometry of the model rescue station is shown in Figure 2. All cross sections of the model tunnel are horseshoe-shaped.In addition, the inner surface of the model rescue station was covered with cement mortar to guarantee the similarity of the friction coe cient between the model and the prototype.e constructed model rescue station is shown in Figure 3.
In the re zone, which is ve meters in all directions from the re source position, the tunnel is made up of reresistant brickwork with re-resistant mortar cement on the surface.ese reproof materials were used to decrease the potential e ect of the high temperatures generated by re.Two axial ow fans are mounted at the entrance and exit of the parallel adit, respectively.
e ow velocity can be controlled by switching a valve to simulate di erent conditions.In this experiment, temperature elds in a superfastgrowth re without ventilation and with 0.7 m/s (2.21 m/s in the full-scale tunnel) inlet velocity in the parallel adit are tested.
A gasoline pool is chosen as the re source.e gasoline pool re is considered to have good reproducibility and less uncertainty [31], and its behavior conforms to superfastgrowth re well.e HRR is determined by the following equation: where η is the combustion e ciency, with a value of 70%-80% for the gasoline pool; m is the mass loss rate that could be calculated by the relationship of mass and time; and Δh is the fuel heat value, which is about 46.6 MJ/kg for gasoline.e HRR is regarded as one of the most important variables in a re test, but it is very di cult to describe accurately.In order to make the HRR measurements as accurate as possible, the mass loss rate of the re source was measured in a con ned space similar in size to that in the experiment.e HRR is calculated based on equation (4), and the value is compared with the experiment result of the heat release rate of diesel oil pool re [32] to verify its reliability.e evolution of the HRR as a function of time is shown in Figure 4.
e HRR value of a 25 cm×25 cm gasoline pool is about 53.08 kW. e corresponding HRR for the full-scale tunnel based on the site measurement of the mass loss rate is 16.79 MW. ree re source positions (10 m, 30 m, and 50 m away from the entrance of the main tunnel) are set in the main tunnel to simulate the in uence of di erent re positions on the temperature eld in a slope tunnel.Ignition holes are placed near every re-source position for safety and convenience.
e process of each experiment is to refuel gasoline to the pool, ignite the gasoline pool with a re rod from the ignition hole, and then close the ignition hole; the test begins when the gasoline pool is ignited.

Measurement System.
To study the temperature eld of the main tunnel in di erent situations with di erent re source positions and ventilation velocity, k-type thermocouples (temperature range from 0 °C to 1300 °C) are set in 45 sections to gather temperature data.e thermocouples are connected to the data collectors with compensation wires to reduce error, and the error of the temperature data is within 0.5%.e measurement sections are set every 1 m in the re   by the thermocouples are transmitted to a computer and processed by intelligent software.e data acquisition system was thoroughly tested and debugged before the formal model test and has been proved to be reliable.e layout of test instruments and the route of data transmission are shown in Figure 5.

Test Conditions.
Twelve tunnel fire tests are performed, divided into free burn and ventilating by axial flow fans with different opening conditions in the parallel adit in different fire source positions (Table 1).ree different fire source positions are set at 10 m, 30 m, and 50 m from the entrance of the tunnel along the downhill direction, respectively, named position I, II, and III.ree methods of opening the axial flow fans are tested: the fan in the entrance, in the exit, and both fans opened.e velocity of the air in the model tunnel is 0.7 m/s consistently, corresponding to about 2.2 m/s in a fullscale tunnel.

Testing Results Analysis
3.1.Temperature Distribution along the Tunnel.Kurioka proposed an empirical formula to predict the maximum temperature of the smoke layer under a tunnel ceiling [7].In the formula, the maximum temperature beneath the ceiling is related to the dimensionless heat release rate, the Froude number, the air velocity, and so on.
In a single tunnel, the hot air flows from one exit of the tunnel to the other.When the Kurioka formula is applied to a single tunnel without slope, the prediction fits the tested data well.In the rescue station, fresh air is forced to the main tunnel by the transverse alleyways from the parallel adit and flows to both exits of the tunnel; thus, the air flow is more complicated.
When the fire source is located at position III (i.e., 50 m away from the entrance) and all the fans in the parallel adit are closed (Test 9), the temperatures at the ceiling (Point C1) and at human eye-level height (1.6 m in the prototype) above the platform (Point P1) along the main tunnel are shown in Figures 6(a) and 6(b).e ceiling has the highest temperatures at the location of the fire: 91 °C at 50 s, 342 °C at 100s, 515 °C at 300s, and 599 °C at 600 s. e farther from the fire, the lower the temperature is at the ceiling.Near the fire, the temperature at the ceiling decreases dramatically.When the ceiling is about 3 m away from the fire, the temperature is less than 100 °C at 600 s.
en, the temperature decreases gently with the increase in the distance to the fire.When the ceiling is about 10 m away from the fire source, the temperature decreases to less than 50 °C at 600 s. Figure 6(a) also shows that the trend of temperature change on both sides of the fire (i.e., the entrance direction and the exit direction) is the same.As the light flue gas goes up and takes away a lot of heat, the temperature at the platform is much lower than that at the ceiling.For example, near the fire, the highest temperatures are at human height above the platform (Point P1): 80 °C at 50 s, 93 °C at 100 s, 165 °C at 300 s, and 181 °C at 600 s; these are much lower than the highest temperatures at the ceiling.
Figure 6(b) also shows that the temperature distribution of point P1 along the main tunnel is different from that of point C1.On the right side (i.e., the exit direction), the temperature decreases dramatically to 18 °C at 600 s when it is 2 m away from the fire location.On the other side, the entrance direction, the temperature decreases more gently.When it is 10 m away from the fire, the temperature at P1 is lower than 20 °C.Hence, at human height above the platform, the left side of the fire has a higher temperature than the right side. is indicates that the light flue gas spreads more easily in the uphill direction.
When the fans in the parallel adit are opened, the temperature distribution in the main tunnel changes greatly, as shown in Figures 7(a) and 7(b) and Table 2.If only the fan at the entrance is opened (Test 10, V1 � 0.7 m/s and V2 � 0 m/s), the highest ceiling temperature at 600 s is 805 °C, which is 34.4% more than the highest temperature (599 °C) in the test with all the fans closed (Test 9, V1 � 0 m/s and V2 � 0 m/s).In this case, fresh air is forced into the main tunnel through the transverse alleyways.As the fresh air promotes the burning, the temperature near the location of the fire increases.e fresh air also blows the heated air to the exit of the tunnel (downstream) and causes the temperature on the left side of the fire (upstream) to decrease while the temperature on the other side (downstream) increases.If only the fan at the exit is opened (Test 11, V1 � 0 m/s and V2 � 0.7 m/s), the highest temperature is 783 °C, 1 m away from the fire on the upstream side.Figure 7(a) also shows that the ceiling temperature on the left side of the fire (upstream) increases greatly. is indicates that the fresh air promotes the burning and diffusing upstream if only the fan at the exit is opened.When both fans are opened (Test 12, V1 � 0.7 m/s and V2 � 0.7 m/s), the ceiling temperature on both sides increases, and the highest temperature at 600 s is 644 °C. Figure 7(b) shows that the temperature at human height above the platform increases too if the fans at the adit are opened.In Test 9, where V1 � 0 m/s and V2 � 0 m/s, the highest temperature is 181 °C.In Tests 10, 11, and 12, the highest temperature at 600 s increases from 117%, 14.9%, and 148% to 392 °C, 208 °C, and 448 °C, respectively, as shown in Table 2. e test results indicate that the temperature near the location of the fire increases a lot if the fans at the adit are opened because fresh air is forced into the main tunnel and promotes burning.
It can be seen from the experiments above that fresh air flows into the main tunnel through transverse alleyways as a result of the fans in the parallel adit, and it causes a change of the maximum temperature and temperature distribution along the tunnel.When a fan on only one side is opened, the supply of oxygen becomes more adequate, leading to a higher temperature at the ceiling.In terms of longitudinal temperature distribution at the ceiling, the temperature drops on the close-to-fan side but rises on the other side.When fans on both sides are opened, flow flux in the rescue station increases, and the high-temperature gas at the ceiling also spreads farther in the longitudinal direction.e maximum temperature and its distribution at human eyelevel height above the platform seem to be more complex.As Advances in Civil Engineering the measure points are set near the transverse alleyways, the fresh air can influence the temperature significantly.When the fan near the fire source is opened, the maximum temperature at human eye-level height decreases, and the diffusion distance of the high temperature is shortened.For the other two strategies of ventilation, the maximum   Figure 8(a) shows the typical growth of the ceiling temperature (Point C1) when all the fans at the adit are closed (i.e., V1 0 m/s and V2 0 m/s).e timetemperature curve at the ceiling of the rescue station can be divided into four stages.Taking Test 5 ( re at position II) as an example, in the early stage, from test start to t 30 s, the temperature grows gently from 20 °C to 29 °C at a rate of 0.3 °C/s.In the rapid growth stage, from t 30 s to t 120 s, the temperature increases from 29 °C to 390 °C at a rate of 4.01 °C/s.In the slow growth stage, from t 120 s to t 270 s, the temperature increases from 390 °C to 599 °C at a rate of 1.39 °C/s.In the stabilization stage, from t 270s to t 600 s,  When the fan at the adit entrance is opened (i.e., V1 � 0.7 m/s and V2 � 0 m/s), the temperature at the ceiling increases a lot.In Test 10, where the fire is at position III, the early stage is too fast to be observed.In the rapid growth stage, approximately from the start of the test to t � 150 s, the temperature increases from 20 °C to 686 °C at a rate of 4.44 °C/s.In the slow growth stage, from t � 150 s to t � 300 s, the temperature increases from 686 °C to 805 °C at a rate of 0.78 °C/s.In the stabilization stage, from t � 300 s to t � 600 s, the temperature changes little.Figure 8(b) shows that the ceiling temperature growth in the main tunnel is greatly influenced by the wind blown in by the fan.e ceiling temperature in Test 2, where the fire is at position I, is the lowest; in the rapid growth stage starting from the beginning of the test to t � 150 s, the temperature increases at a rate of 3.16 °C/s, which is the smallest rate of increase in Tests 2, 6, and 10. e chimney effect causes the hot flue gas to flow in the uphill direction.wind blown in from the entrance weakens the influence of the chimney effect and prevents hot flue gas from flowing to the entrance so that the ceiling temperature in Test 10 is the highest.e chimney effect also prevents fresh air from flowing to the entrance and makes the fire in position I combust incompletely so that the ceiling temperature in Test 2 is the lowest.
Figure 8(c) shows the growth of the ceiling temperature when the exit fan at the adit is opened (i.e., V1 � 0 m/s and V2 � 0.7 m/s).Figure 8(c) shows that the C1 temperature in Test 3 (position I) is the highest while the C1 temperature in Test 11 (position III) is the lowest.Otherwise, the C1 temperature in Tests 11, 7, and 3 (V1 � 0 m/s, V2 � 0.7 m/s) are all higher than in Tests 9, 5, and 1 (V1 � 0 m/s, V2 � 0 m/s) because the wind blown in from the exit enhances the chimney effect and brings much more fresh air to the main tunnel and makes the fire burn faster and more violently.
Figure 8(d) shows the growth of the ceiling temperature when both fans at the adit are opened (i.e., V1 � 0.7 m/s and V2 � 0.7 m/s).In the early stage, the temperature increase in

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Test 12 (position III) and Test 4 (position I) is much slower than that in Test 8 (position II). e C1 temperature in Test 8 (V1 � 0.7 m/s, V2 � 0.7 m/s) where the fire is at position II is the highest and much higher than that in Test 5 (V1 � 0 m/s, V2 � 0 m/s).e C1 temperatures in Tests 12 and 4 (V1 � 0.7 m/s, V2 � 0.7 m/s) are quite close to those in Tests 9 and 1 (V1 � 0 m/s, V2 � 0 m/s). is is because there is little influence from the chimney effect when the wind flows from both sides of the tunnel, and the hot flue gas gathers in the middle (position II).
Figure 9 shows some time-temperature curves at the height of the human eye-level (point P1). e features shown in Figure 9 are substantially the same as those in Figure 8. Figure 9(b) shows that in the same direction of the slope weakens the chimney effect.Figure 9(c) shows that ventilation in the same uphill direction enhances the chimney effect.Figure 9(d) shows that the wind flowing from both sides of the tunnel has little influence on the chimney effect but makes the hot flue gas gather in the middle.
At positions I, II, and III, opening the fan will make the fire burn more quickly, causing a faster increase in temperature in the early stage.For position I, opening the fan at the entrance (V1 � 0.7 m/s, V2 � 0 m/s) causes the combustion to slow down and the temperature decreases; opening the fan at the exit (V1 � 0 m/s, V2 � 0.7 m/s) or the fans at both sides (V1 � 0.7 m/s, V2 � 0.7 m/s) makes the fire burn more violently, resulting in temperature increases.For position II, opening either one or both fans makes the fire burn more quickly and more violently.Because the wind flowing from both sides makes the hot flue gas gather in the middle, the increase in temperature is the highest when the fans at both sides are opened: the temperature rises from 659 °C to 998 °C at point C1 and rises from 340 °C to 684 °C at point P1.For position III, opening either one or both fans also makes the fire burn more quickly and more violently.At point C1, the increase in temperature is the highest when the fan at the entrance is opened (V1 � 0.7 m/s, V2 � 0 m/s); the temperature rises from 599 °C to 805 °C; at point P1, the increase in temperature is the highest when the fans at both sides are opened (V1 � 0.7 m/s, V2 � 0.7 m/s); the temperature rises from 211 °C to 448 °C.
Based on the time-temperature curves at both ceiling and human eye-height level above the platform, it is clear that when the fire source is close to the fan in the parallel adit, the fresh air forced into the main tunnel through the transverse alleyways causes the measured temperature to decrease dramatically, compared with the condition in which all the fans are closed.By contrast, the temperature goes higher when the opened fan is far away from the fire source because the chimney effect causes some fresh air to flow into the tunnel from outside the tunnel, providing sufficient oxygen to make the fire burn even violently.Opening all the fans promotes air flow in the main tunnel and makes the combustion more complete so that the temperature goes much higher.

Temperature Distribution in the Main Tunnel.
e temperature distribution in the platform is the key concern for rescue activities in a tunnel with a rescue station.e temperature at the human eye level decides the safety of the escape and thus needs to be studied scrupulously.Temperature field changes in the range of 5 m upstream and downstream of the fire source are studied because the fire source only affects the temperature field in the surrounding area.
Figure 10(a) shows the test temperature field in the center section of the platform, which is 360 mm away from the center of the cross section of the tunnel at 600s when all the fans at the adit are closed (i.e., V1 � 0 m/s and V2 � 0 m/s; Test 5).Because the hot flue gas rises to the ceiling, the higher the y direction, the higher the temperature.Due to the chimney effect, the temperature field is skewed toward the entrance direction.e temperature in the direction of the entrance is higher than that in the direction of the exit in general.
e high-temperature zone ranges from 27.5-30.5m in the z direction and 0.43-0.5 m in the y direction.
e temperature, which is 263 °C at point P3 at 26 m (z direction), is 55.4 °C higher than that at 34 m.ere is no temperature which is safe for personnel to escape in the direction of the entrance.By contrast, the temperature which is safe for personnel to escape is 3 m away from the fire source in the direction of the exit.
Figures 10(b)-10(d) show the test temperature fields in the center section of the platform at 600 s under ventilation.
e opening of the entrance fan at the adit causes the wind to exit, resulting in the temperature field being skewed toward the exit direction and the rise of the maximum temperature.
e wind flowing from the exit enhances the chimney effect and makes the temperature field of the platform skew obviously to the entrance direction.e temperature in the direction of the exit is much lower than that in the direction of the entrance in general.e temperature near the fire source will increase, and the high-temperature zone will connect through when all the fans in the adit are opened.Overall, the opening of the fan will bring more fresh air flow to the fire source so that the temperature increases.
When the fans are closed, the temperature field will skew toward the entrance direction due to the chimney effect.When the fans are opened, the temperature will increase because fresh air flows to the fire source and the temperature field will skew in the direction of wind flow.

Conclusions and Discussion
is paper reports the results of a model test of a fire in the rescue station of a railway tunnel.Specifically, the temperatures near the ceiling and platform of the main tunnel are tested in different conditions.Some conclusions from the tests are reported below.
e temperature distribution along the tunnel shows that fresh air that flowed to the main tunnel through the transverse alleyways by the fan at the adit promotes burning and makes the temperature increase.Without ventilation, the temperature distribution along the tunnel is stable and temperatures decrease gently.e time-temperature curves show that the temperature increase at the rescue station can be divided into four stages.Opening the fan will make the fire burn more quickly, causing a faster increase in Advances in Civil Engineering   Advances in Civil Engineering temperature in the early stage.e farther from the fan, the greater the temperature rise.Opening the fan which is far away from the re source will cause a hazardous situation that will hinder the escape of personnel.Because of the chimney e ect, the temperature is the lowest when the re occurs at position III.From the temperature distribution in the main tunnel, the in uence zone is within 5 m of the re source.Due to the chimney e ect, the temperature eld will skew in the uphill direction, and the ventilation will in uence the temperature eld.e high-temperature zone will connect through when all the fans at the adit are opened, which is a dangerous condition for personnel escape.ese ndings provide a basis for designing safe evacuation and a foundation for further study of the temperature distribution in a tunnel with a rescue station.
Model tests are conducted under hypothetical ideal conditions.ere are several limitations of this test.First, the natural wind near the entrance and exit would in uence the velocity eld in the tunnel.Second, the consistency of the HRR in these 12 tests are not strictly guaranteed, although the HRR of the re source was measured.ird, the consistency of thermophysical properties in di erent materials is di cult to guarantee.e following items must be checked carefully before the test to make the test results reliable and repeatable: (1) ensure that the evolution of the HRR is consistent with that in a real tunnel; (2) avoid the interference of natural wind in the test; (3) ensure that the thermophysical properties of materials in the model are the same as those in a real tunnel.
Data Availability e data used to support the ndings of this study are available from the corresponding author upon request.

Figure 4 :
Figure 4: e evolution of the HRR as function of time.

Table 1 :
Fire model test conditions.
Note.V1, V2: air velocity of the fan at the entrance and exit of the parallel adit, m/s.standardized time-temperature curves to design the support structure, disaster prevention methods, and rescue plans of a single tunnel.In the rescue station, because the air ow is more complicated, there is no universal guideline concerning how to choose the ideal curve in relation to the heat release rates, longitudinal ventilation velocity, or ceiling heights.e time-temperature curve reveals three stages of a tunnel re: growing, stabilization, and decaying.In this test, temperatures in the growing and stabilization stages are measured.

Table 2 :
Maximum temperature at the ceiling (Point C1) and platform (Point P1).In Test 9, where the fire is at position III, the ceiling has the lowest temperature; in the rapid growth stage starting from t � 30 s to t � 180 s, the temperature increases at a rate of 2.55 °C/s, which is lower than the growth rate in Test 5 where the fire is at position II.In Test 1 where the fire is at position I, the ceiling temperature has the longest slow growth stage, ranging from t � 120 s to 360 s at the rate of 1.75 °C/s.e ceiling temperature in Test 1 is the highest at t � 600 s.