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无因次在煤粒瓦斯放散模型解算中的应用

Application of Dimensionless in Solution of Gas Emission Model of Coal Particles

  • 摘要: 根据达西定律建立了瓦斯在煤粒中放散的数学模型,通过无因次化简化了瓦斯流动方程,并利用有限差分法编程进行解算。解算过程中减少了条件的代入次数并且得到各种无因次量,分析得出煤粒内部瓦斯压力和累计解吸量的变化规律。通过引入无因次量,能够简化方程的求解过程及程序的编写,而且由此得出的煤粒瓦斯放散规律更具有普遍意义。

     

    Abstract: The mathematical model of gas emission of coal particles was established according to Darcy law, the gas flow equations were simplified by dimensionless, and the finite difference method was used in the program for calculation. The number of condition substitutions in calculating process was reduced and some dimensionless quantities were got. The change rule of the gas pressure and the cumulative desorption amount in the coal particles was obtained from the analysis. Therefore, the introduction of the dimensionless quantity can simplify the solution process of the equations and the writing of the program, and the gas emission laws of coal particles which were got from it are more universal.

     

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