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瓦斯流动的微分方程式是难于用数学方法解算的,应用电子计算机可以解决这一困难,但计算结果是数值解。应用相似理论来分析计算结果,可导出瓦斯流动的一般规律。研究结果表明:在建立数学模型时,可采用瓦斯含量系数α建立瓦斯含量方程式;差分方程则以隐式六点法较好;电子计算机计算的结果与相似模型的试验结果是一致的。
The differential equation of gas flow is difficult to solve by mathematical method. The application of electronic computer can solve this difficulty, but the calculation result is numerical solution. Applying the similarity theory to analyze the calculation results leads to the general law of gas flow. The results show that: in the establishment of mathematical model, the gas content coefficient α can be used to establish the gas content equation; the difference equation is better than the implicit six-point method; the results calculated by the electronic computer are consistent with the experimental results of similar models.