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耗散方程
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  dissipation equation
    In order to analyze air leakage strength and oxygen concentration distribution characteristics of stoping goaf,finite element model of caving goaf air leakage flow pattern and oxygen concentration variation is established with heterogeneous air leakage seepage equation and oxygen concentration dissipation equation and resolved against observed data,and the flow field near working face is treated as two-flow layer flow between caving medium and caving slack.
    为分析回采采空区漏风强度与氧浓度分布特征,用非均质漏风渗流方程和氧浓度耗散方程建立了冒落采空区漏风流态和氧浓度变化的有限元数值模型,结合观测数据进行了求解; 工作面附近流场按冒落介质和冒落空隙间的双流层问题处理。
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  dissipation equation
The characteristic length scale of subgrid turbulence is no longer given by the spatial discretization step size, but by the use of a dissipation equation.
      
Fallacies include the mixing-length concept; the effect of pressure gradient on Reynolds shear stress; the separability of time and space derivatives; models of the dissipation equation; and chaos.
      
Fluctuation-dissipation equation of asymmetric simple exclusion processes
      
We prove that the fluctuation-dissipation equation w=Lu+D?η has a solution for some function u and some constant D identified to be the diffusion coefficient.
      
It is shown that this behavior is very much dependent on the gravitational production term in the turbulent dissipation equation, about which there is insufficient understanding in the literature.
      
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Using upwind finite method with the technology of grapy display the artile, solves the leak air seepage and air movement diffusec equation and seepage dissipation equation of oxygen concentration variation process. Taking fully-mechanized top coal caving face as an example, it explains that the charater is unblance of the distribution of oxygen concentration acecording to goaf leakage air flow. It determines the goaf spontaneous combustion band combined high oxygen combustion area within regeneration area.It...

Using upwind finite method with the technology of grapy display the artile, solves the leak air seepage and air movement diffusec equation and seepage dissipation equation of oxygen concentration variation process. Taking fully-mechanized top coal caving face as an example, it explains that the charater is unblance of the distribution of oxygen concentration acecording to goaf leakage air flow. It determines the goaf spontaneous combustion band combined high oxygen combustion area within regeneration area.It also discusses the numerical simulation result of spontaneous combustion band抯 varation under all kinds of boundaries. It offers a new way for analysis and comprehenssion of the early growing up process and influence factors of goaf spontaneous conbustion.

结合实例,用迎风有限元方法求解了回采采空区漏风渗流方程和氧气渗流耗散方程,从理论上说明采空区氧浓度分布的不均衡性。用高氧浓度区与蓄热区迭加确定采空区自燃氧化带,以及在各种边界条件下自燃氧化带形状所发生的变化,得出自燃氧化带宽度与工作面风量近似呈负指数关系,由此导出采空区自然发火危险的判定条件。

The seepage equation of air movement and air seepage flow dissipation equation of oxygen consumption concentration change process in leakage air flow in goaf air flow field under the condition of nitrogen injection have been solved. The relationship between nitrogen injection parameters (nitrogen injection discharge, position and time) and the state of airflow field and oxygen concentration distribution in goaf has been analyzed in detail. A new method of computerized numerical simulation is presented to determine...

The seepage equation of air movement and air seepage flow dissipation equation of oxygen consumption concentration change process in leakage air flow in goaf air flow field under the condition of nitrogen injection have been solved. The relationship between nitrogen injection parameters (nitrogen injection discharge, position and time) and the state of airflow field and oxygen concentration distribution in goaf has been analyzed in detail. A new method of computerized numerical simulation is presented to determine the parameters of nitrogen injection.

用有限元数值方法 ,求解了综放开采采空区注氮情况下的漏风渗流方程和氧浓度渗流耗散方程 ;结合计算机图形技术 ,直观展示了注氮前后采空区流场、流态和氧浓度分布动态变化 ;模拟了在不同注氮量下注氮控制区边界的变化过程 ,得到控制区边界位置与注氮流量呈负指数关系 ;重点探讨了用数值模拟方法确定合理注氮参数 (注氮流量、注氮位置和注氮时间 )的新方法。

In order to analyze air leakage strength and oxygen concentration distribution characteristics of stoping goaf,finite element model of caving goaf air leakage flow pattern and oxygen concentration variation is established with heterogeneous air leakage seepage equation and oxygen concentration dissipation equation and resolved against observed data,and the flow field near working face is treated as two-flow layer flow between caving medium and caving slack.The result indicates that the oxygen concentration distribution...

In order to analyze air leakage strength and oxygen concentration distribution characteristics of stoping goaf,finite element model of caving goaf air leakage flow pattern and oxygen concentration variation is established with heterogeneous air leakage seepage equation and oxygen concentration dissipation equation and resolved against observed data,and the flow field near working face is treated as two-flow layer flow between caving medium and caving slack.The result indicates that the oxygen concentration distribution between the inlet and return sides in the goaf is unbalanced,which is because of the road oxygen consumption and methane effusion of goaf air leakage flow.It is indicated that air leakage strength distribution between the inlet and return sides is basically balanced,and when the methane effusion is considered,the air leakage strength of the return side is even higher than the inlet side.The disproportion of the oxygen concentration between the inlet and return sides inside the goaf observed in the field is rationally explained from fluid mechanics principle.This conclusion conduces to clarify the fuzzy cognition against this issue in the current academic circle.

为分析回采采空区漏风强度与氧浓度分布特征,用非均质漏风渗流方程和氧浓度耗散方程建立了冒落采空区漏风流态和氧浓度变化的有限元数值模型,结合观测数据进行了求解;工作面附近流场按冒落介质和冒落空隙间的双流层问题处理。得到采空区内部进、回风侧两端的氧浓度分布是不均衡的,而导致这一现象的原因是采空区漏风流的沿程耗氧和瓦斯的涌出;指出采空区内进、回风两侧端的漏风强度分布基本是均衡的,当考虑瓦斯涌出的影响时,漏回风侧的漏风强度甚至要高于进风侧。从流体力学原理上对现场观测采空区内部进回风两侧氧浓度分布的不均衡给予更合理地解释。此结论将有助于澄清当前学术界对此问题的模糊认识。

 
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