1. Introduction
A container house refers to a simple house with doors and windows, which is transformed from containers. It has the characteristics of disassembly, easy recycling, and high structural strength, and is a typical representative of assembled buildings. Container houses are widely used to build characteristic commercial blocks, pedestrian streets, markets, and shops because of their changeable shapes and convenient construction, such as Changzhou “T-Park” commercial district, Shanghai Minhang “Happy Market”, Yuxi “Yujian Provincial Transportation” business block and Luoyang “Busy Party” commercial pedestrian street and so on. Commercial blocks, pedestrian streets, markets, and other characteristic container buildings are inseparable from the use of natural gas. As a widely used clean energy source, natural gas has frequent explosion accidents [
1]. Existing research on natural gas explosion accidents is mostly based on traditional buildings, such as brick−concrete and steel−concrete, and rarely involves the unconventional building of container houses. Compared with frame structures, container houses have the characteristics of uniform strength in all directions, and the damage consequences under a gas explosion load are difficult to predict. Moreover, ordinary steel-concrete buildings are generally multi-story structures, and the explosion vents are mostly horizontal. However, container houses are generally one-story or two-story buildings, and the horizontal distance between buildings is relatively close. Therefore, the choice of explosion venting method must be different from that of traditional buildings. In order to reduce the damage consequences of natural gas accidents in characteristic container buildings, it is urgent to carry out natural gas explosion tests in container buildings.
Many researchers have been concerned about the influence of methane concentration on gas explosions. Yan et al. [
2] obtained through experiments that the main influencing factors affecting gas explosions in public tunnels are the mixed gas concentration, gas content, and ignition position. Li et al. [
3] carried out gas explosion tests in a container with a volume of 1 m
3 and a ventilation port at the top; Yang et al. [
4] carried out a series of tests in cube frames covered with polyethylene films with volumes of 1 m
3, 8 m
3, and 27 m
3; Bao et al. [
5] carried out 29 gas explosion tests in a structure with a volume of 12 m
3; Zhang et al. [
6] carried out gas explosion tests in a 10 m
3 container, and all obtained that a methane concentration of 9.5% would generate the maximum load. Meanwhile, Wang et al. [
7] established an explosion pipeline system and found that the flame speed, temperature, and explosion pressure would reach a maximum at a methane concentration of 10%. Xu et al. [
8] found that under real-world conditions, a vertical concentration gradient would be formed within the structure after natural gas leakage, which would cause the explosion load to decrease. Moreover, factors such as the structure, form, and size of the tests will all have a relatively large impact on the test results. Therefore, conducting prototype tests can reflect the gas explosion load most realistically.
In a confined space, the pressure-relief port has a great influence on the gas explosion load. Tomlin et al. [
9] determined the influence of pressure-relief port size and plugging rate on gas explosion through experiments. Some scholars have used the method of combining experiments and numerical simulations to discuss the explosion pressure in a long and narrow confined space and found that the existence of a vent can effectively reduce the explosion pressure [
10,
11,
12]. Moreover, Xing et al. [
13] found that with an increase in the pressure-relief area, the pressure oscillation gradually attenuated compared with the closed pipeline, but a Helmholtz oscillation appeared. Ajrash et al. [
14] conducted a gas explosion test in a 30 m-long detonation pipe, and there were obvious phenomena of pressure rise and flame deflagration speed decrease in the upstream and downstream of detonation corresponding to the position of the vent. Yuan et al. [
15] found that when the ignition point is far away from the pressure-relief port, the combustion rate and velocity of the outdoor jet flame increase significantly, thus comprehensively enhancing the trigger energy of the external explosion. Li et al. [
16] found in an explosion test of a methane−hydrogen mixture that external explosion is particularly important for the design of a pressure-relief port. The research shows that Taylor’s spherical piston theory can accurately predict the external explosion load and provide the necessary theoretical knowledge and practical evidence for designing a safer ventilation and pressure-relief system. Most of the above studies were based on narrow pipes or small rigid containers, and the container house, as a relatively weak structure, has not found any relevant literature on its pressure-relief design.
Owing to limited funds and safety, full-scale explosion tests are often not easy to carry out. Most scholars have used numerical simulation methods for extended research. A natural gas explosion is a complex energy-release process that integrates multiple disciplines. In existing research, computational fluid dynamics (CFD) is commonly used to simulate and analyze the explosion process. Pang et al. [
17] used AutoReaGas software to study the distribution law of the indoor natural gas pressure-relief overpressure peak structure under different parameter conditions such as opening pressure, opening time, and pressure-relief ratio of different pressure-relief surfaces. Lv et al. [
18] used the three-dimensional hydrodynamic simulation software Fluidyn-MP to study the influence of different pressure-relief opening pressures in branch pipelines on the methane deflagration pressure in confined spaces. Li et al. [
19] designed a new pressure-relief door and used Fluent software to verify the pressure-relief effect of the pressure-relief door. Cao et al. [
20] studied the evolution of the water-sealed fire-proof barrier pressure-relief field of a methane-air mixture at a metered concentration (9.5 vol%) through Fluent numerical simulation and revealed the water-sealed fire-proof barrier pressure-relief mode of gas-transmission pipelines at low concentrations. Henry et al. [
21] used Fluent to describe the explosion consequences in the “Pajaritos” petrochemical plant in Coatzacoalcos, Mexico. Sajid et al. [
22] used Fluent to conduct a simulation analysis of the explosion process. Luo et al. [
23] used FLACS (Flame Acceleration Simulator) to conduct a numerical simulation of natural gas explosions, and the simulation results were consistent with the experimental results, verifying the reliability of the software. Li et al. [
24] proposed a numerical simulation study of gas explosions in confined spaces based on the analytic hierarchy process and used FLACS software to analyze the gas explosion process. Bi et al. [
25] used FLACS software to study the change in turbulent kinetic energy caused by pressure-relief openings in closed pipelines, guiding the design of the size and position of pressure-relief openings. In addition, many scholars use FLACS software to model many scenes, such as garages, houses, parking lots, and tunnels, and simulate and analyze the gas explosion [
26,
27,
28,
29,
30,
31,
32].
The purpose of this research is to obtain the laws of natural gas leakage and diffusion, the development laws of natural gas explosion flames and loads, and their influencing factors in container houses so as to provide guidance for the design of ways to prevent natural gas accidents in urban characteristic container groups. Due to the relatively low strength of container houses, it is difficult to conduct natural gas explosion tests multiple times. Therefore, this paper adopts a method combining prototype tests and numerical simulations to carry out research. The explosion load and structural failure forms are obtained through prototype tests. Based on the prototype tests, FLACS-CFD 21.3 software is used to carry out extended research on numerical simulations. The influence of multiple factors, such as gas content, ignition position, pressure-relief area, and pressure-relief intensity, on natural gas explosion loads is analyzed in depth.
3. Verification of Numerical Simulation Model
As a mature CFD software, FLACS-CFD 21.3 has high calculation reliability. The basic governing equations include the mass conservation equation, momentum conservation equation, energy conservation equation, component transfer equation, and turbulence equation. The details are as follows:
(1) Mass conservation equation
(2) Momentum conservation equation
(3) Energy conservation equation
(4) Component transfer equation
(5) Turbulence equation
Turbulence kinetic energy (k) transfer equation
Turbulence kinetic energy dissipation rate (ε) transport equation
In the above formula, βv is the volume porosity, ρ is the density (kg/m3), xj is the j coordinate space variable, βj is the area porosity in the j direction, uj is the velocity component (m/s) in the j direction, is the mass rate (kg/s), V is the volume (m3), ui is the velocity component (m/s) in i direction, δij is the cronk trigonometric function, Fo,j is the flow resistance (N) caused by subnet blocking, Fw,i are the flow resistance (N) caused by subnet wall, g is the gravitational acceleration (m/s2), h is the enthalpy (J/kg), µeff is the effective viscosity (Pa s), σh is the Pelant-Schmidt enthalpy number, D is the diffusion coefficient (m2/s), P is the pressure (Pa), t is time (s), is heat flow (J/s), Yfuel is fuel mass fraction, k is turbulence kinetic energy (m2/s2), σk is the turbulent Prandtl number of k, Pk is the generation of turbulence kinetic energy (m2/s2), is the turbulence kinetic energy dissipation (m2/s3), δξ is the Prandtl constant of turbulence kinetic energy dissipation rate, Pξ is the generation rate of turbulence kinetic energy, and C2ε is the constant in the k-ε formula (=1.92).
3.1. Verification of Natural Gas Leakage and Diffusion Simulation Model
3.1.1. Model Parameter Setting
The Dispersion and Ventilation module in FLACS is used to simulate the natural gas leakage and diffusion test. According to the actual situation of the test, methane is used instead of natural gas. According to the actual conditions of different working conditions, the inflation time is calculated at best, and the calculation time is delayed by about 40 s to simulate the ignition preparation process. Then, the calculation results for the subsequent natural gas explosion simulation are saved. The simulated working conditions are shown in
Table 1. The model contains key information such as the structure, leakage point, monitoring point, and boundary conditions. Among them, the structure is surrounded by six plates that are closely connected to each other. In order to ensure that the porosity of the whole structure is 0, the structure must coincide with the grid line. The leakage point is set strictly according to the actual test, and the relevant test parameters are shown in
Figure 2 and
Figure 3. The leakage type is point leakage, the leakage area is 0.0013 m
2, the leakage speed is 7.89 m/s, and the leakage direction is −X direction. Because the leakage point cannot coincide with the grid line, the coordinates of the leakage point are (3.01, 1.51, 0.15), and six monitoring points are set inside the structure. Because the monitoring points cannot coincide with the grid lines, they are set as shown in
Table 2 and
Figure 7. The boundary conditions are all set to no wind boundary (Nozzle); The CFL (Courant-Friedrich-Levy) number based on sound velocity is set to 20, and the CFL (Courant-Friedrich-Levy) number based on fluid velocity is set to 2, so as to automatically select the appropriate time step.
3.1.2. Mesh Independence Analysis
Mesh generation is a prerequisite for ensuring calculation accuracy. If the mesh size is too large, the calculation results will be distorted; if the mesh size is too small, the calculation efficiency will be reduced. Therefore, before conducting numerical simulations, it is necessary to first perform mesh independence verification to screen for an appropriate mesh size. Mesh sizes of 0.1 m, 0.125 m, and 0.25 m are used, respectively, to simulate Working Condition 1. Measuring points MP2, MP4, and MP6 are selected for comparison. The results are shown in
Figure 8. Judging from the final results, the calculation results under the three mesh sizes do not differ much. However, from the perspective of the diffusion process, the trends of mesh sizes 0.1 m and 0.125 m match well. Considering both calculation accuracy and calculation efficiency comprehensively, a mesh size of 0.125 m is selected. The mesh type is a uniform grid, and the grid size in all directions in the leakage space is 0.125 m. Mesh encryption must be carried out near the leakage hole, and the minimum grid size of the encrypted area is 0.05 m. The software will automatically adjust the mesh size to connect the refined area smoothly with the non-refined area.
3.1.3. Analysis of Numerical Simulation Results
Figure 9 shows the phenomenon of natural gas leakage and diffusion in the numerical simulation, which is basically consistent with the experimental phenomenon. When natural gas leaks, it will spread to the upper part of the structure due to buoyancy and also spread around due to air resistance and concentration difference. Moreover, the numerical simulation results also show that when it is close to the leakage hole, the gas propagation direction is dominated by the jet action and biased toward the −X direction. In the process of gradually moving away from the leakage hole, the direction of gas propagation began to be dominated by buoyancy and concentration differences and gradually turned vertically upward. This phenomenon was not observed in the experiment due to the problem of the shooting angle.
Figure 10 shows the methane distribution in the structure under working conditions LD1–LD4. The left—hand two-dimensional graph shows the X-Z (Y = 1.5) plane. It can be seen that the distribution of gas in the structure is in an unevenly stratified state, and the methane concentration decreases from top to bottom. When the proportion of methane is ≥9.5%, the methane gas within the explosive limit concentration range will fill the entire structure. At this time, ignition at any position within the structure will cause an explosion.
3.2. Verification of the Natural Gas Explosion Simulation Model
3.2.1. Model Parameter Setting
The Gas Explosion module in FLACS is used to simulate the natural gas explosion test. The model contains key information such as the structure, pressure plate, ignition position, monitoring point, and boundary conditions. Among them, the top plate of the structure will be deleted according to the test results, and two equal-area pressure-relief plates will be set at the original top plate position, and the type of pressure-relief plates is “Hinged Rigid”. The dimensions of the two pressure-relief plates are both (3 × 3 × 0) m, the quality is all 12 kg/m
2, and the locations are Panel-1 (0, 0, 2.5) m and Panel-2 (3, 0, 2.5) m. When the pressure reaches 40 kPa, the pressure-relief plates will open by rotating 30° along the Y-axis, as shown in
Figure 11. The ignition position cannot coincide with the grid line, and its coordinates are set as (3.01, 1.51, 1.31), and the ignition time is the final diffusion time of each leakage working condition. In order to compare with the test results, the coordinates of the monitoring point are set as (3.01, 0.01, 1.25). All boundary conditions are set as Plane Wave. The CFL (Courant-Friedrich-Levy) number based on the speed of sound is set to 5, and the CFL (Courant-Friedrich-Levy) number based on the fluid velocity is set to 0.2 so as to automatically select an appropriate time step.
3.2.2. Mesh Independence Analysis
The FLACS suggests that when using the GasExplosion module, the grid size should be reasonably selected according to the model size, and the grid size should not be too small. When the grid size is less than 0.015 m, Gexcon company should be contacted for feasibility evaluation. Therefore, in this paper, mesh sizes of 0.1 m, 0.125 m, and 0.25 m are selected for mesh independence analysis. The simulated working conditions are consistent with those of the test. As shown in
Figure 12, due to the large number of influencing factors in the test, the cause of the large negative pressure in the test load is unknown. Therefore, the positive pressure part of the curve is used for comparison with the simulation results. It can be seen that when the mesh size is 0.1 m, it matches the test curve well. Therefore, this paper uses a mesh size of 0.1 m for the gas explosion simulation.
3.2.3. Analysis of Numerical Simulation Results
In FLACS, combustion products are used to represent the flame.
Figure 13 shows the flame development process obtained by the experiment and numerical simulation. It can be seen that with the gradual increase in the opening of the roof, the combustion range gradually expands. This is because the unburned gas is first pushed out and then ignited after the structure is destroyed. Moreover, with an increase in the opening of the roof, the flame intensity in the structure increases. This is because structural damage leads to the inflow of fresh air, which increases the oxygen content.
In order to obtain the development law of the gas explosion load in the container, several measuring points in the structure are selected to analyze their pressure changes.
Table 3 and
Figure 14 show the coordinates of all the pressure measuring points. Among them, P1–P3 are arranged at a spacing of 1.25 m in the Z direction at the center of the structure, and P4, P2, and P5 are arranged at a spacing of 1.5 m in the +X direction at the center of the structure.
As shown in
Figure 15, the numerical simulation results indicate that the pressure wave always precedes the combustion wave after ignition, which is the “ two-wave and three-zone” phenomenon generated during gas deflagration. “Two waves” refer to the combustion wave and the precursor shock wave. The combustion wave is the flame front. When the flame front propagates forward, the unreacted gas in front of the flame expands due to heat, generating the precursor shock wave. There is a certain distance between the precursor shock wave and the flame, thus dividing the gas cloud into three regions. “Three zones” refer to the reacted zone behind the flame front containing high-temperature combustion products, the unreacted zone in front of the precursor shock wave containing gas at room temperature, and the to-be-reacted zone between the flame front and the precursor shock wave containing heat expanded gas. Therefore, under the condition where the proportion of methane in an ordinary container house is 9.5%, the type of gas accident is deflagration, which is consistent with the experimental phenomenon.
Figure 16 shows the pressure time history curves of several pressure measurement points. It can be seen that, due to the relatively slow combustion reaction, the load rises relatively gently in the early stage, and the pressure values at each measurement point are relatively uniform. After the pressure in the container house reaches 40 kPa due to the damage to the roof plate, the load at the P1 measurement point closest to the roof plate drops sharply. After the roof plate is damaged, the development of the external flame delays the release of the internal pressure; thus, the pressures at the P2–P5 measurement points continue to rise. At X = 0.233 s, due to the influx of fresh air, the combustion reaction intensifies, resulting in a steep rising edge of the load.
5. Conclusions
In this paper, research on gas leakage, diffusion, and explosion is carried out in an ordinary container house, and the laws of gas leakage and diffusion in the structure and the influencing factors of natural gas explosion load are analyzed and summarized. The results show that:
(1) In a container house, gas leakage is mainly affected by the jet, obstacle reflection, buoyancy, and concentration difference. With the distance increasing, the influence of buoyancy and concentration difference gradually dominates. Natural gas in the container house will gather from top to bottom after leakage, and its distribution is vertically uneven and stratified. When the leakage of natural gas exceeds 9.5% of the total volume, the natural gas within the explosion limit concentration range will fill the whole structure.
(2) The natural gas explosion accident in the container house is a deflagration accident. When a natural gas explosion accident occurs in an ordinary container house with low strength, a load of about 50.69 kPa will be generated. The test structure failed from the roof position. After the roof is destroyed, the flame mainly spreads to the upper space of the structure under the action of a pressure wave, which has little influence on the surrounding environment. Therefore, the characteristic buildings of container houses should minimize the stacking of containers, appropriately weaken the strength of the top panel, reduce the damage consequences, and influence the scope of natural gas explosion accidents.
(3) The gas explosion load in a container house is affected by many factors. The working condition with a methane content of 9.5% is the most unfavorable one. When methane content accounts for 7.5%, the peak load generated by the explosion is greater than that when methane content accounts for 11.5%. The ignition position has little effect on the gas explosion load. With the increase in pressure-relief intensity, the gas explosion can produce a peak load of 54.81~733.6 kPa. In order to reduce the explosion load, the roof strength of the container building should be reduced as much as possible to ensure structural safety.