CN116663104A - Design method for critical large-spacing range of key smoke outlets of tunnel - Google Patents
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Abstract
本发明公开了一种隧道重点排烟口临界大间距范围的设计方法,包括:步骤1、确定烟气层安全厚度,步骤2、当隧道内无排烟作用,火灾烟气自由蔓延时,已知烟气层厚度hL,推导计算得到此处离火源距离L;步骤3、当隧道内有重点排烟作用,火灾烟气受到排烟抽吸力蔓延时,已知烟气层厚度hL*,推导计算得到此处离火源距离L*;步骤4、确定重点排烟口最小临界大间距D1、最大临界大间距D2,得到隧道重点排烟口临界大间距范围。本发明计算方法简单,能够根据不同隧道尺寸快速得到重点排烟口临界大间距范围,具有更好的实际适用性,为隧道重点排烟火灾烟气控制及人员疏散安全提供理论支撑。
The invention discloses a design method for the critical large distance range of key smoke exhaust outlets of tunnels, which includes: step 1, determining the safe thickness of the smoke layer, and step 2, when there is no smoke exhaust function in the tunnel and the fire smoke spreads freely, the Knowing the thickness of the smoke layer h L , deriving and calculating the distance L from the fire source here; step 3, when there is a key smoke exhaust function in the tunnel, and when the fire smoke is spread by the suction force of the smoke exhaust, the known smoke layer thickness h L* , the distance L * from the fire source is obtained by derivation and calculation; step 4, determine the minimum critical large distance D 1 and the maximum critical large distance D 2 of key smoke exhaust outlets, and obtain the critical large distance range of key smoke exhaust outlets in the tunnel. The calculation method of the invention is simple, can quickly obtain the critical large distance range of key smoke exhaust outlets according to different tunnel sizes, has better practical applicability, and provides theoretical support for smoke control of key smoke exhaust fires in tunnels and personnel evacuation safety.
Description
技术领域technical field
本发明涉及隧道火灾烟气控制技术领域,具体涉及一种隧道重点排烟口临界大间距范围的设计方法。The invention relates to the technical field of tunnel fire smoke control, in particular to a design method for critical large distance ranges of key smoke exhaust outlets of tunnels.
背景技术Background technique
由于隧道具有狭长且封闭的特性,导致隧道相比其他建筑而言,具有独特空间结构和火灾特性。隧道火灾严重威胁着隧道内司乘人员及消防救援者的生命安全,同时隧道火灾还会对隧道结构造成破坏引发二次事故,造成更大的生命财产损失。重点排烟模式在公路隧道中广泛运用,但现行重点排烟模式排烟口间距小个数多漏风量大,导致建设和运营成本较高。因此,在保证人员疏散环境安全前提下,降低隧道建设和运营成本显得极其重要。Due to the narrow and closed characteristics of the tunnel, the tunnel has a unique spatial structure and fire characteristics compared with other buildings. Tunnel fires seriously threaten the life safety of drivers, passengers and fire rescuers in tunnels. At the same time, tunnel fires will damage the tunnel structure and cause secondary accidents, resulting in greater loss of life and property. The key smoke exhaust mode is widely used in highway tunnels, but the current key smoke exhaust mode has a small number of smoke outlets and a large number of air leakage, resulting in high construction and operating costs. Therefore, under the premise of ensuring the safety of the evacuation environment, it is extremely important to reduce the cost of tunnel construction and operation.
重点排烟模式是指通过准确地控制排烟风管的排烟阀,利用交通隧道火灾事故点最近的排烟口组织排烟,极大地提高了排烟系统的排烟效率。大间距是指重点排烟口间距突破常规间距60m的限制,在保证人员疏散环境安全下,及时有效的将火灾烟气排出。The key smoke exhaust mode means that by accurately controlling the smoke exhaust valve of the smoke exhaust duct and using the nearest smoke exhaust outlet of the traffic tunnel fire accident point to organize smoke exhaust, the smoke exhaust efficiency of the smoke exhaust system is greatly improved. Large spacing means that the spacing of key smoke exhaust outlets breaks through the limit of the conventional spacing of 60m, and the fire smoke can be discharged in a timely and effective manner while ensuring the safety of the evacuation environment.
现阶段规范和实际隧道工程中,大多采用的是排烟口间距不超过60m的常规重点排烟控制模式,存在间距小成本高、排烟口个数多漏风严重等不足。为了降低隧道建设和运营成本,探求在保证人员疏散环境安全前提下,突破60m排烟口间距限制,理论分析研究临界排烟口大间距范围,为隧道重点排烟火灾烟气控制及人员疏散安全提供理论支撑。In the current standard and actual tunnel projects, most of them adopt the conventional key smoke exhaust control mode with the distance between the smoke exhaust outlets not exceeding 60m, which has disadvantages such as small spacing, high cost, large number of smoke exhaust outlets, and serious air leakage. In order to reduce the cost of tunnel construction and operation, and under the premise of ensuring the safety of personnel evacuation environment, break through the limit of 60m smoke exhaust outlet spacing, theoretically analyze and study the range of critical smoke exhaust outlet spacing, and provide key smoke control and personnel evacuation safety for tunnels Provide theoretical support.
发明内容Contents of the invention
为了解决背景技术存在的问题,本发明的目的在于提供了一种隧道重点排烟口临界大间距范围的设计方法,对一些长度较长、建设成本较大的隧道,可采取本发明所提供的临界大间距范围的计算方法进行排烟系统设计计算,与常规排烟口间距比较,本发明所述的排烟口大间距范围更优,在保证人员疏散环境安全前提下,能够降低隧道建设和运营成本。In order to solve the problems existing in the background technology, the purpose of the present invention is to provide a design method for the critical large distance range of key smoke exhaust outlets in tunnels. For some tunnels with longer lengths and higher construction costs, the method provided by the present invention can be adopted. The calculation method of the critical large spacing range is used for the design and calculation of the smoke exhaust system. Compared with the conventional smoke exhaust port spacing, the large smoke exhaust port spacing range described in the present invention is better. Under the premise of ensuring the safety of the personnel evacuation environment, it can reduce the cost of tunnel construction and operating costs.
为实现上述目的,本发明提供如下技术方案:一种隧道重点排烟口临界大间距范围的设计方法,包括以下步骤:In order to achieve the above object, the present invention provides the following technical solution: a design method for the critical large distance range of key smoke exhaust outlets in tunnels, comprising the following steps:
步骤1、确定能保证人员疏散环境安全的条件下的,隧道内烟气允许高度,根据隧道设计尺寸,获得烟气层允许厚度hL=hL*;Step 1. Determine the allowable height of the smoke in the tunnel under the conditions that can ensure the safety of the evacuation environment, and obtain the allowable thickness of the smoke layer h L = h L * according to the design size of the tunnel;
步骤2、根据烟气层厚度与火源距离的关系式和隧道尺寸计算在隧道内无排烟作用,火灾烟气自由蔓延的条件下,烟气层厚度为hL处离火源距离L,将2L作为重点排烟口最小临界大间距D1;Step 2. Calculate according to the relationship between the thickness of the smoke layer and the distance from the fire source and the size of the tunnel. Under the condition that there is no smoke exhaust in the tunnel and the fire smoke spreads freely, the distance L from the fire source at the place where the thickness of the smoke layer is h L is, Take 2L as the minimum critical large spacing D 1 of key smoke exhaust outlets;
步骤3、根据烟气层厚度与火源距离的关系式和隧道尺寸及火源功率计算在隧道内有重点排烟作用,火灾烟气受到排烟抽吸力蔓延的条件下,烟气层厚度hL*处离火源距离L*,将2L*作为重点排烟口最大临界大间距D2;Step 3. According to the relationship between the thickness of the smoke layer and the distance from the fire source, the size of the tunnel, and the power of the fire source, calculate the key smoke exhaust function in the tunnel. Under the condition that the fire smoke is spread by the smoke suction force, the thickness of the smoke layer The distance between h L* and the fire source is L * , and 2L * is used as the maximum critical distance D 2 of the key smoke exhaust outlet;
步骤4、得到隧道重点排烟口临界大间距范围D,D1≤D≤D2。Step 4. Obtain the critical large distance range D of key smoke exhaust outlets of the tunnel, where D 1 ≤ D ≤ D 2 .
所述的隧道重点排烟口临界大间距范围的设计方法,所述步骤1中,保证人员疏散环境安全的条件为:In the design method of the critical large distance range of the key smoke exhaust outlet of the tunnel, in the step 1, the conditions for ensuring the safety of the personnel evacuation environment are:
隧道内烟气允许高度处能见度应满足Vz≥10m、温度应满足Tz≤60℃,隧道内烟气允许高度为2m。The visibility at the allowable height of the smoke in the tunnel should meet V z ≥ 10m, the temperature should meet T z ≤ 60°C, and the allowable height of the smoke in the tunnel is 2m.
所述的隧道重点排烟口临界大间距范围的设计方法,所述步骤2中,烟气层厚度与火源距离的关系式为:In the design method of the critical large distance range of the key smoke exhaust outlet of the tunnel, in the step 2, the relationship between the thickness of the smoke layer and the distance from the fire source is:
式中,烟气层厚度hL=(H-2),D1表示重点排烟口最小临界大间距,L表示自由蔓延时离火源距离,W表示隧道宽度,H表示隧道高度。In the formula, the smoke layer thickness h L = (H-2), D 1 represents the minimum critical distance between key smoke outlets, L represents the distance from the fire source when it spreads freely, W represents the width of the tunnel, and H represents the height of the tunnel.
可选地,所述步骤2中,当火灾烟气自由蔓延时,离火源距离L为:Optionally, in step 2, when the fire smoke spreads freely, the distance L from the fire source is:
式中,L表示自由蔓延时离火源距离,B表示自由蔓延时温度衰减系数,hL表示自由蔓延时烟气层厚度,如图1所示,W表示隧道宽度,ρa表示环境温度下空气密度,Ta表示环境温度,TL表示自由蔓延时离火源距离L处烟气温度,g表示重力加速度,β表示烟气卷吸系数,h0表示火源附近烟气层厚度,γ表示质量流率衰减系数,H表示隧道高度。In the formula, L represents the distance from the fire source when it spreads freely, B represents the temperature attenuation coefficient when it spreads freely, h L represents the thickness of the smoke layer when it spreads freely, as shown in Figure 1, W represents the tunnel width, and ρ a represents the temperature at ambient temperature Air density, T a represents the ambient temperature, T L represents the smoke temperature at a distance L from the fire source when it spreads freely, g represents the acceleration of gravity, β represents the smoke entrainment coefficient, h 0 represents the thickness of the smoke layer near the fire source, γ Indicates the mass flow rate attenuation coefficient, and H indicates the tunnel height.
所述步骤3中,烟气层厚度与火源距离的关系式为:In the step 3, the relational expression between the smoke layer thickness and the fire source distance is:
式中,烟气层厚度hL=(H-2),D2表示重点排烟口最大临界大间距,L*表示有重点排烟作用时离火源距离,W表示隧道宽度,H表示隧道高度,Q表示火源功率。In the formula, the thickness of the smoke layer h L = (H-2), D 2 represents the maximum critical distance between key smoke exhaust outlets, L * represents the distance from the fire source when there is a key smoke exhaust function, W represents the width of the tunnel, and H represents the tunnel Height, Q represents the fire source power.
可选地,所述步骤3中,当有重点排烟作用时,离火源距离L*为:Optionally, in step 3, when there is a focus on smoke exhaust, the distance L * from the fire source is:
式中,L*表示有重点排烟作用时离火源距离,B′表示有重点排烟作用时温度衰减系数,hL*表示有重点排烟作用时烟气层厚度,如图2所示,W表示隧道宽度,ρa表示环境温度下空气密度,Ta表示环境温度,TL*表示有重点排烟作用时离火源距离L*处烟气温度,g表示重力加速度,β表示烟气卷吸系数,h0表示火源附近烟气层厚度,γ表示质量流率衰减系数,H表示隧道高度,Q表示火源功率,Te表示排烟口温度,Ve表示排烟量。In the formula, L * indicates the distance from the fire source when there is a key smoke exhaust function, B' indicates the temperature attenuation coefficient when there is a key smoke exhaust function, and h L* indicates the thickness of the smoke layer when there is a key smoke exhaust function, as shown in Figure 2 , W represents the width of the tunnel, ρ a represents the air density at the ambient temperature, T a represents the ambient temperature, T L* represents the smoke temperature at a distance L * from the fire source when there is a key smoke exhaust function, g represents the acceleration of gravity, β represents the smoke Gas entrainment coefficient, h 0 represents the thickness of the smoke layer near the fire source, γ represents the mass flow rate attenuation coefficient, H represents the tunnel height, Q represents the power of the fire source, T e represents the temperature of the exhaust outlet, and Ve represents the exhaust smoke volume.
与现有技术相比,本发明的有益效果是:本发明计算方法简单,验证对比方式合理,可根据不同隧道尺寸快速得到重点排烟口临界大间距范围,可采取本发明所提供的临界大间距范围的计算方法进行排烟系统设计计算,适用于采用重点排烟方式的不同尺寸隧道。本方法通过理论分析,得到隧道重点排烟口临界大间距范围,再与数值模拟计算结果进行对比,验证理论计算公式的准确性,突出隧道重点排烟口临界大间距范围计算方法的实际适用性,计算得到的结果具创新性和实际工程意义,为隧道重点排烟火灾烟气控制及人员疏散安全提供理论支撑。Compared with the prior art, the beneficial effects of the present invention are: the calculation method of the present invention is simple, the verification and comparison method is reasonable, and the range of the critical large distance between key smoke exhaust outlets can be quickly obtained according to different tunnel sizes, and the critical large distance provided by the present invention can be adopted. The calculation method of the spacing range is used for the design and calculation of the smoke exhaust system, which is applicable to tunnels of different sizes that adopt the key smoke exhaust method. Through theoretical analysis, this method obtains the critical large spacing range of key smoke exhaust outlets in tunnels, and then compares it with the numerical simulation calculation results to verify the accuracy of the theoretical calculation formula, highlighting the practical applicability of the calculation method for the critical large spacing range of key smoke exhaust outlets in tunnels , the calculated results are innovative and have practical engineering significance, and provide theoretical support for the smoke control of key smoke exhaust fires in tunnels and the safety of personnel evacuation.
附图表说明Description of drawings
此处所说明的附图表用来提供对本申请的进一步理解,构成本申请的一部分,本申请的示意性实施例及其说明用于解释本申请,并不构成对本申请的不当限定。在附图表中:The accompanying drawings described here are used to provide a further understanding of the application and constitute a part of the application. The schematic embodiments and descriptions of the application are used to explain the application and do not constitute an improper limitation to the application. In the attached chart:
图1为本发明隧道内自由蔓延烟气发展示意图;Fig. 1 is a schematic diagram of the development of free-spreading smoke in the tunnel of the present invention;
图2为本发明隧道内重点排烟作用下烟气发展示意图;Fig. 2 is a schematic diagram of the development of smoke under the action of key smoke exhaust in the tunnel of the present invention;
图3为本发明建立的隧道模型示意图;Fig. 3 is the tunnel model schematic diagram that the present invention sets up;
表1为本发明不同隧道参数下工况表;Table 1 is the table of operating conditions under different tunnel parameters of the present invention;
表2为本发明不同参数下排烟口临界大间距范围;Table 2 is the range of the critical large spacing of the exhaust outlets under different parameters of the present invention;
具体实施方式Detailed ways
以下结合附图及具体实施例对本发明的原理和特征进行描述,所举实例只用于解释本发明,并非用于限定本发明的范围。The principles and features of the present invention will be described below in conjunction with the accompanying drawings and specific embodiments. The examples given are only used to explain the present invention and are not intended to limit the scope of the present invention.
一种隧道重点排烟口临界大间距范围的计算方法,参看图1、图2,包括以下步骤:A calculation method for the critical large distance range of key smoke exhaust outlets in tunnels, referring to Fig. 1 and Fig. 2, including the following steps:
步骤1、当隧道内无排烟作用,火灾烟气自由蔓延时,已知烟气层厚度hL,推导计算得到此处离火源距离L;具体为:Step 1. When there is no smoke exhaust function in the tunnel and the fire smoke spreads freely, the thickness of the smoke layer h L is known, and the distance L from the fire source here is derived and calculated; specifically:
隧道内的烟气发展可分为四个阶段(图1):The development of smoke in a tunnel can be divided into four stages (Figure 1):
1:羽流自由上升及撞击顶棚1: The plume rises freely and hits the ceiling
2:径向蔓延2: radial spread
3:由径向转纵向蔓延过度过程3: Transition from radial to vertical spreading process
4:一维水平蔓延;4: One-dimensional horizontal spread;
如图1所示,距离火源x=L处的烟气层厚度为hL,烟气质量流率为mL。相比实际隧道长度,烟气发展阶段1~3的长度较短,可将烟气发展阶段1~3的总质量流率看成一个整体,且纵向长度可忽略。As shown in Figure 1, the thickness of the smoke layer at x=L from the fire source is h L , and the mass flow rate of the smoke is m L . Compared with the actual tunnel length, the length of the smoke development stages 1 to 3 is shorter, and the total mass flow rate of the smoke development stages 1 to 3 can be regarded as a whole, and the longitudinal length can be ignored.
m1为对称羽流卷吸量,根据Zukoski等的文章《Entrainment in fire plumes》中公式,可估计烟气发展阶段1的质量流率:m 1 is the entrainment volume of the symmetrical plume. According to the formula in the article "Entrainment in fire plumes" by Zukoski et al., the mass flow rate of the smoke development stage 1 can be estimated:
m1=0.063Q1/3H5/3 (1)m 1 =0.063Q 1/3 H 5/3 (1)
式中,H表示隧道高度,Q表示火源功率。In the formula, H represents the height of the tunnel, and Q represents the power of the fire source.
烟气发展阶段1和2,烟气撞击顶棚后会加剧与周围冷空气的混合,使得烟气质量流率增加,烟气层变厚,因此烟气进入烟气发展阶段4的初始质量流率mt可由下式表示(取γ=1.90):In the smoke development stages 1 and 2, after the smoke hits the ceiling, it will intensify the mixing with the surrounding cold air, which will increase the mass flow rate of the smoke and thicken the smoke layer, so the smoke enters the initial mass flow rate of the smoke development stage 4 m t can be expressed by the following formula (take γ=1.90):
mt=γm1(γ为系数) (2)m t =γm 1 (γ is a coefficient) (2)
进一步地,根据自由蔓延烟气发展的对称性,烟气碰撞墙体后,向左或向右蔓延的质量流率:Further, according to the symmetry of the development of free-spreading smoke, the mass flow rate of the smoke moving left or right after hitting the wall:
m2=1/2γm1 (3)m 2 =1/2γm 1 (3)
得到距离火源x=L处的烟气质量流率可表示为:The smoke mass flow rate obtained at a distance of x=L from the fire source can be expressed as:
me=ρaβWu (5)m e =ρ a βWu (5)
式中:mβ表示烟气发展阶段4的质量卷吸速率,β表示卷吸系数,取β=0.005,W表示隧道宽度,u表示烟气层纵向平均蔓延速度,ρa表示环境温度下空气密度。In the formula: m β represents the mass entrainment rate of the smoke development stage 4, β represents the entrainment coefficient, take β=0.005, W represents the tunnel width, u represents the average vertical spreading speed of the smoke layer, ρ a represents the air temperature at ambient temperature density.
在烟气发展阶段4,x位置处,纵向平均蔓延速度ux可由下式计算:At the smoke development stage 4, at position x, the longitudinal average spreading velocity u x can be calculated by the following formula:
式中,ux表示x位置处烟气纵向平均蔓延速度,Ta表示环境温度,ΔTx表示x位置处无量纲温升,g表示重力加速度,hx表示x位置处烟气层厚度。In the formula, u x represents the average longitudinal spread velocity of smoke at position x, T a represents the ambient temperature, ΔT x represents the dimensionless temperature rise at position x, g represents the acceleration of gravity, and h x represents the thickness of the smoke layer at position x.
结合上述各式,得到距火源x=L位置处的烟气质量流率可改为:Combining the above formulas, the smoke mass flow rate at the position x=L from the fire source can be changed to:
此外,mL同样可根据质量流率基本计算公式表示:In addition, m L can also be expressed according to the basic calculation formula of mass flow rate:
联立上述公式(1),(7)和(8),并结合理想气体状态方程可得到关于距火源距离L与烟气层厚度hL的关系式:Simultaneously combine the above formulas (1), (7) and (8), and combine the ideal gas state equation The relationship between the distance L from the fire source and the thickness of the smoke layer h L can be obtained:
TL表示自由蔓延时离火源距离L处烟气温度,ρL表示自由蔓延时离火源距离L处空气密度;T L represents the flue gas temperature at a distance L from the fire source during free spread, and ρ L represents the air density at a distance L from the fire source during free spread;
进一步地,为了方便计算,将关系式左边进行简化,可将简化为0-Lm范围的平均烟气层厚度/>其中h0近似为火源附近的烟气层厚度(根据赵胜中的《纵向通风作用下隧道火灾烟气输运规律研究》显示h0取0.3m)。式(9)可改为:Further, for the convenience of calculation, the left side of the relational expression is simplified, which can be Simplified to the average smoke layer thickness in the range of 0-Lm/> Among them, h 0 is approximately the thickness of the smoke layer near the fire source (according to Zhao Shengzhong's "Study on the Transport Law of Smoke in Tunnel Fire under the Effect of Longitudinal Ventilation", h 0 is taken as 0.3m). Formula (9) can be changed to:
进一步地,根据胡隆华等的研究《Decay of buoyant smoke layer temperaturealong the longitudinal direction in tunnel fires》表明,顶棚下x处的无量纲温升和纵向距离可由下式表示:Furthermore, according to the study "Decay of buoyant smoke layer temperature along the longitudinal direction in tunnel fires" by Hu Longhua et al., the dimensionless temperature rise and longitudinal distance at x under the ceiling can be expressed by the following formula:
ΔTx=ΔTmaxe-Bx (11)ΔT x = ΔT max e -Bx (11)
式中,ΔTx表示x位置处无量纲温升,ΔTmax表示烟气最高温升,B表示自由蔓延时温度衰减系数,取B=0.025,Q表示火源功率,H表示隧道高度。In the formula, ΔT x represents the dimensionless temperature rise at position x, ΔT max represents the maximum temperature rise of flue gas, B represents the temperature attenuation coefficient when it spreads freely, and B=0.025, Q represents the fire source power, and H represents the tunnel height.
联立上述式(10)~(12),得到关于距火源距离L与烟气层厚度hL的关系式:Combining the above formulas (10) to (12), the relationship between the distance L from the fire source and the thickness of the smoke layer h L is obtained:
式中,L表示自由蔓延时离火源距离,B表示自由蔓延时温度衰减系数,取B=0.025,hL表示自由蔓延时烟气层厚度,W表示隧道宽度,ρa表示环境温度下空气密度,取ρa=1.2kg/m3,Ta表示环境温度,取Ta=293K,TL表示自由蔓延时离火源距离L处烟气温度,取TL=313K,g表示重力加速度,取g=9.8m/s2,β表示烟气卷吸系数,取β=0.005,h0表示火源附近烟气层厚度,取h0=0.3m,γ表示质量流率衰减系数,取γ=1.90,H表示隧道高度。In the formula, L represents the distance from the fire source during free spread, B represents the temperature attenuation coefficient during free spread, taking B=0.025, h L represents the thickness of the smoke layer during free spread, W represents the tunnel width, ρ a represents the air at ambient temperature Density, take ρ a = 1.2kg/m 3 , T a represents the ambient temperature, take T a = 293K, T L represents the flue gas temperature at a distance L from the fire source when it spreads freely, take T L = 313K, g represents the acceleration of gravity , take g=9.8m/s 2 , β represents the smoke entrainment coefficient, take β=0.005, h 0 represents the thickness of the smoke layer near the fire source, take h 0 =0.3m, γ represents the mass flow rate attenuation coefficient, take γ=1.90, H represents the tunnel height.
步骤2、当隧道内有重点排烟作用,火灾烟气受到排烟抽吸力蔓延时,已知烟气层厚度hL*,推导计算得到此处离火源距离L*;具体为:Step 2. When there is a key smoke exhaust function in the tunnel, and the fire smoke is spread by the suction force of the smoke exhaust, the thickness of the smoke layer h L* is known, and the distance L * from the fire source here is derived and calculated; specifically:
假定排烟口未发生“吸穿”现象,则此时烟气层仍能与自由蔓延一样保持较为稳定状态,可认为排烟口下方的烟气仍处于一维水平蔓延阶段(图2)。Assuming that the "suck-through" phenomenon does not occur at the smoke exhaust port, the smoke layer can still maintain a relatively stable state like free spreading at this time, and it can be considered that the smoke below the smoke exhaust port is still in the one-dimensional horizontal spreading stage (Figure 2).
取隧道断面高度H下烟气生成量作为重点排烟量,可参照《建筑防烟排烟系统技术标准》(GB51251-2017)计算:The amount of smoke generated at the height H of the tunnel section is taken as the key amount of smoke exhaust, which can be calculated by referring to the "Technical Standards for Smoke Prevention and Smoke Exhaust Systems in Buildings" (GB51251-2017):
式中:Ve表示重点排烟量,Ta表示环境温度,Q表示火源功率,H表示隧道高度,cp表示空气的定压比热,ρa表示环境温度下气体密度。In the formula: V e represents the exhaust volume of key points, T a represents the ambient temperature, Q represents the power of the fire source, H represents the height of the tunnel, c p represents the specific heat of air at constant pressure, and ρ a represents the gas density at ambient temperature.
进一步地,烟气蔓延到排烟口时,部分烟气会被排出,使得此处烟气质量流率mL*为自由蔓延时的烟气质量流率mL减去被排出的me。得到距离火源x=L*排烟口处的烟气质量流率可表示为:Further, when the smoke spreads to the smoke outlet, part of the smoke will be discharged, so that the mass flow rate m L* of the smoke here is the mass flow rate m L of the smoke when it spreads freely minus the discharged me . The mass flow rate of flue gas at the distance from the fire source x = L * smoke outlet can be expressed as:
mβ=ρaβWu (5)m β =ρ a βWu (5)
me=ρeVe (16)m e = ρ e V e (16)
式中:mβ表示烟气发展阶段4的质量卷吸速率,β表示卷吸系数,W表示隧道宽度,u表示烟气层纵向平均蔓延速度,Ve表示排烟系统的排烟量,ρa表示环境温度下气体密度,ρe表示排烟口处烟气密度。In the formula: m β represents the mass entrainment rate of the smoke development stage 4, β represents the entrainment coefficient, W represents the tunnel width, u represents the longitudinal average spreading speed of the smoke layer, Ve represents the smoke exhaust volume of the smoke exhaust system, ρ a represents the gas density at ambient temperature, and ρ e represents the smoke density at the exhaust port.
由于排烟口下方的烟气仍处于一维水平蔓延阶段,那么x位置处,纵向平均蔓延速度仍可由下式计算:Since the smoke below the smoke outlet is still in the one-dimensional horizontal spread stage, the longitudinal average spread velocity at the x position can still be calculated by the following formula:
式中,ux表示x位置处烟气纵向平均蔓延速度,Ta表示环境温度,ΔTx表示x位置处无量纲温升,g表示重力加速度,hx表示x位置处烟气层厚度。In the formula, u x represents the average longitudinal spread velocity of smoke at position x, T a represents the ambient temperature, ΔT x represents the dimensionless temperature rise at position x, g represents the acceleration of gravity, and h x represents the thickness of the smoke layer at position x.
联立上述式(1)~(3)、(5)~(6)、(15)~(16),得到距火源x=L*位置处的烟气质量流率mL*可改为:Combining the above formulas (1)~(3), (5)~(6), (15)~(16), the smoke mass flow rate m L* at the position x=L * from the fire source can be changed to :
此外,mL*同样可根据质量流率基本计算公式表示:In addition, m L* can also be expressed according to the basic calculation formula of mass flow rate:
联立上述公式(17)~(18),可得到关于排烟口处距火源距离L*与烟气层厚度hL*的关系式:Combining the above formulas (17) to (18), the relationship between the distance L * from the smoke outlet to the fire source and the thickness of the smoke layer h L* can be obtained:
进一步地,为了方便计算,将关系式左边进行简化,可将简化为0-L*m范围的平均烟气层厚度/>其中h0近似为火源附近的烟气层厚度,h0取0.3m。式(19)可改为:Further, for the convenience of calculation, the left side of the relational expression is simplified, which can be Simplified to the average smoke layer thickness in the range of 0-L * m/> Among them, h 0 is approximately the thickness of the smoke layer near the fire source, and h 0 is taken as 0.3m. Formula (19) can be changed to:
进一步地,由于排烟口下方的烟气仍处于一维水平蔓延阶段,根据胡隆华等的研究《Decay of buoyant smoke layer temperature along the longitudinal directionin tunnel fires》及赵胜中的《纵向通风作用下隧道火灾烟气输运规律研究》表明,排烟口x处的顶棚下无量纲温升仍可由下式表示:Furthermore, since the smoke below the smoke outlet is still in the one-dimensional horizontal spread stage, according to the research "Decay of buoyant smoke layer temperature along the longitudinal direction in tunnel fires" by Hu Longhua et al. "Research on Transport Law" shows that the dimensionless temperature rise under the ceiling at the exhaust outlet x can still be expressed by the following formula:
ΔTx=ΔTmaxe-B′x (21)ΔT x = ΔT max e -B'x (21)
式中,ΔTx表示x位置处无量纲温升,ΔTmax表示烟气最高温升,B′表示有重点排烟作用时温度衰减系数,Q表示火源功率,H表示隧道高度。In the formula, ΔT x represents the dimensionless temperature rise at position x, ΔT max represents the maximum temperature rise of flue gas, B′ represents the temperature attenuation coefficient when there is a key smoke exhaust effect, Q represents the power of the fire source, and H represents the height of the tunnel.
联立上述公式,得到关于距火源距离L*与烟气层厚度hL*的关系式:Combining the above formulas, the relationship between the distance L * from the fire source and the thickness of the smoke layer h L* is obtained:
式中,L*表示有重点排烟作用时离火源距离,B′表示有重点排烟作用时温度衰减系数,取B′=0.015,hL*表示有重点排烟作用时烟气层厚度,W表示隧道宽度,ρa表示环境温度下空气密度,取ρa=1.2kg/m3,Ta表示环境温度,取Ta=293K,TL*表示有重点排烟作用时离火源距离L*处烟气温度,取TL*=313K,g表示重力加速度,取g=9.8m/s2,β表示烟气卷吸系数,取β=0.005,h0表示火源附近烟气层厚度,取h0=0.3m,γ表示质量流率衰减系数,取γ=1.90,H表示隧道高度,Q表示火源功率,Te表示排烟口温度,取Te=313K,Ve表示排烟量。In the formula, L * indicates the distance from the fire source when there is a key smoke exhaust function, B' indicates the temperature attenuation coefficient when there is a key smoke exhaust function, take B'=0.015, h L* indicates the thickness of the smoke layer when there is a key smoke exhaust function , W represents the width of the tunnel, ρ a represents the air density at the ambient temperature, take ρ a =1.2kg/m 3 , T a represents the ambient temperature, take T a =293K, T L* represents the distance from the fire source when there is a key smoke exhaust effect Smoke temperature at distance L * , take T L* = 313K, g means acceleration of gravity, take g = 9.8m/s 2 , β means smoke entrainment coefficient, take β = 0.005, h 0 means smoke near the fire source Layer thickness, take h 0 =0.3m, γ represents the mass flow rate attenuation coefficient, take γ=1.90, H represents the tunnel height, Q represents the power of the fire source, T e represents the temperature of the exhaust outlet, take T e =313K, V e Indicates the amount of smoke exhaust.
步骤3、保证人员疏散环境安全的条件下,确定重点排烟口最小临界大间距D1、最大临界大间距D2,当隧道内无排烟作用,火灾烟气自由蔓延时,烟气层变厚的速度快,因此烟气层厚度达到2m处距火源近,将2L作为最小临界大间距D1,当隧道内有重点排烟作用,火灾烟气受到排烟抽吸力蔓延时,烟气层变厚的速度慢,因此烟气层厚度达到2m处距火源远,将2L*作为最小临界大间距D2,得到隧道重点排烟口临界大间距范围;具体为:Step 3. Under the condition of ensuring the safety of the evacuation environment, determine the minimum critical large distance D 1 and the maximum critical large distance D 2 of key smoke exhaust outlets. When there is no smoke exhaust function in the tunnel and the fire smoke spreads freely, the smoke layer changes. The thickness of the smoke layer is fast, so the place where the smoke layer thickness reaches 2m is close to the fire source, and 2L is taken as the minimum critical distance D 1 . The thickening speed of the gas layer is slow, so the place where the thickness of the smoke layer reaches 2m is far away from the fire source, and 2L* is taken as the minimum critical large distance D 2 to obtain the critical large distance range of the key smoke exhaust outlets of the tunnel; specifically:
根据《Fire Engineering Guidelines》及《中国消防手册》第3卷“消防规划·公共消防设施·建筑防火设计”可知:为保证人员疏散环境安全,2m清晰高度处能见度应满足Vz≥10m、温度应满足Tz≤60℃。故只需要保证2m清晰高度处无烟气即可保证人员疏散环境安全。According to "Fire Engineering Guidelines" and "China Fire Handbook" Volume 3 "Fire Planning · Public Fire Protection Facilities · Building Fire Protection Design", it can be known that in order to ensure the safety of personnel evacuation environment, the visibility at a clear height of 2m should meet V z ≥ 10m, and the temperature should be Satisfy T z ≤60°C. Therefore, it is only necessary to ensure that there is no smoke at a clear height of 2m to ensure the safety of the evacuation environment.
进一步地,当隧道内无排烟作用,火灾烟气自由蔓延时,远离火源处烟气层高度为2m(即烟气层厚度hL=(H-2)m),若在此处设置重点排烟口进行排烟,则可保证人员疏散环境安全,那么,根据式(13)并代入相关参数数据,如图1,得到隧道重点排烟口最小临界大间距D1=2L;Furthermore, when there is no smoke exhaust function in the tunnel and the fire smoke spreads freely, the height of the smoke layer far away from the fire source is 2m (that is, the thickness of the smoke layer h L =(H-2)m), if set here Exhausting smoke from the key smoke exhaust outlets can ensure the safety of the evacuation environment. Then, according to formula (13) and substituting relevant parameter data, as shown in Figure 1, the minimum critical distance D 1 = 2L for the key smoke exhaust outlets of the tunnel is obtained;
式中,D1表示重点排烟口最小临界大间距,L表示自由蔓延时离火源距离,W表示隧道宽度,H表示隧道高度。In the formula, D 1 represents the minimum critical distance between key smoke outlets, L represents the distance from the fire source when it spreads freely, W represents the width of the tunnel, and H represents the height of the tunnel.
进一步地,当隧道内有重点排烟作用,火灾烟气受到排烟抽吸力蔓延时,远离火源处烟气层高度为2m(即烟气层厚度hL*=(H-2)m),则此时可保证人员疏散环境安全,那么,根据式(23)并代入相关参数数据,如图2,得到隧道重点排烟口最大临界大间距D2=2L*。Furthermore, when there is a key smoke exhaust function in the tunnel, and when the fire smoke is spread by the suction force of the smoke exhaust, the height of the smoke layer far away from the fire source is 2m (that is, the thickness of the smoke layer h L* = (H-2)m ), then the safety of the personnel evacuation environment can be guaranteed at this time. Then, according to formula (23) and substituting relevant parameter data, as shown in Figure 2, the maximum critical distance D 2 of the key smoke exhaust outlets of the tunnel is obtained = 2L*.
式中,D2表示重点排烟口最大临界大间距,L*表示有重点排烟作用时离火源距离,W表示隧道宽度,H表示隧道高度,Q表示火源功率。In the formula, D 2 represents the maximum critical distance between key smoke exhaust outlets, L * represents the distance from the fire source when the key smoke exhaust is active, W represents the width of the tunnel, H represents the height of the tunnel, and Q represents the power of the fire source.
进一步地,保证人员疏散环境安全的条件下,得到隧道重点排烟口临界大间距范围为:Furthermore, under the condition of ensuring the safety of the evacuation environment, the critical maximum distance range of the key smoke exhaust outlets of the tunnel is obtained as:
D1≤D≤D2 (26)D 1 ≤ D ≤ D 2 (26)
式中,D1表示重点排烟口最小临界大间距,D2表示重点排烟口最大临界大间距,D表示重点排烟口间距。In the formula, D 1 represents the minimum critical distance between key smoke exhaust outlets, D 2 represents the maximum critical distance between key smoke exhaust outlets, and D represents the distance between key smoke exhaust outlets.
通过此计算方法,可以根据不同隧道尺寸快速得到重点排烟口临界大间距范围。Through this calculation method, the critical large distance range of key smoke exhaust outlets can be quickly obtained according to different tunnel sizes.
更进一步地,本发明还包括对前述计算方法的验证,具体为:Furthermore, the present invention also includes verification of the aforementioned calculation method, specifically:
(1)根据步骤3所述的隧道重点排烟口临界大间距范围,代入实体隧道尺寸及火源功率等参数(表1),通过理论公式计算得到理论临界大间距范围计算值(表2);(1) According to the critical large distance range of the key smoke exhaust outlets of the tunnel described in step 3, the parameters such as the size of the physical tunnel and the power of the fire source are substituted (Table 1), and the calculation value of the theoretical critical large distance range is obtained by calculating the theoretical formula (Table 2) ;
表1Table 1
表2Table 2
(2)FDS数值模拟部分:(2) FDS numerical simulation part:
火灾动力模拟软件(FDS)是现有技术。Fire dynamic simulation software (FDS) is a prior art.
利用FDS软件,构建长度为1000m,不同宽高的隧道模型,如图3所示。排烟口位于隧道顶板,排烟口横向长度2.5m、纵向长度6m。取火灾火源尺寸为长8m×宽3m×高0m,在模型隧道纵向中心间隔0.5m设置“layer”测点,该测点可直接得到烟气层高度。隧道环境温度及压强分别为20℃和101kPa,模拟计算时间为600s。设置如表1所述的不同火源功率、不同隧道尺寸工况,通过FDS软件中“layer”测点(见图3),可直接获到模拟各测点处的烟气层高度,则烟气层高度为2m处的距火源间距可直接得出,故可得到模拟临界大间距范围(见表2),与步骤(1)中理论计算值进行分析对比:Using FDS software, construct tunnel models with a length of 1000m and different widths and heights, as shown in Figure 3. The smoke outlet is located on the roof of the tunnel, with a horizontal length of 2.5m and a vertical length of 6m. The size of the fire source is taken to be 8m in length x 3m in width x 0m in height, and "layer" measuring points are set at 0.5m intervals in the longitudinal center of the model tunnel, which can directly obtain the height of the smoke layer. The ambient temperature and pressure of the tunnel are 20°C and 101kPa, respectively, and the simulation calculation time is 600s. Set the working conditions of different fire source powers and different tunnel sizes as described in Table 1, and through the "layer" measuring point in the FDS software (see Figure 3), the smoke layer height at each simulated measuring point can be directly obtained, and the smoke The distance from the fire source at the gas layer height of 2m can be directly obtained, so the simulated critical large distance range can be obtained (see Table 2), and compared with the theoretically calculated value in step (1):
通过对比理论临界大间距范围和模拟临界大间距范围,得到模拟大间距范围略小于理论值,是因为理论计算值未考虑其他影响因素的影响,使得理论计算值略大,但通过误差计算,各工况误差结果均小于10%,符合误差要求,则可验证上述理论临界大间距范围的计算公式是准确的,能够满足实际隧道工程的适用性。By comparing the theoretical critical large spacing range and the simulated critical large spacing range, it is obtained that the simulated large spacing range is slightly smaller than the theoretical value, because the theoretical calculation value does not consider the influence of other influencing factors, making the theoretical calculation value slightly larger, but through the error calculation, each The error results of the working conditions are all less than 10%, which meets the error requirements, and it can be verified that the calculation formula of the above-mentioned theoretical critical large spacing range is accurate and can meet the applicability of actual tunnel engineering.
以上所述仅为本发明的较佳实施例,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection of the present invention. within range.
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