煤粒瓦斯变压吸附数学模型及数值解算
发布时间：2019-03-29 11:46
【摘要】：为了验证达西定律是煤粒瓦斯流动的普适性规律,在之前所做的不同形状煤粒的定压吸附解吸及变压解吸实验基础上,设计了封闭空间内煤粒瓦斯变压吸附实验,分别得到42.976,11.600~13.800,3.350~4.000和1.180~1.400 mm四种不同粒径的煤样在0.5,1,2和4 MPa四种初始压力下瓦斯累积吸附量随时间的变化情况。基于达西和菲克定律,分别建立封闭空间内煤粒瓦斯变压吸附数学模型。运用有限差分法计算模型,并编制Visual Basic计算机程序对方程进行解算,得到两种模型在不同时间不同初始瓦斯压力下的瓦斯累积吸附量。通过对比分析实验和数值模拟得到的ln[1-(Q_t/Q_∞)~2]与t关系图,发现封闭空间内煤粒瓦斯吸附过程同样遵循达西定律。这与之前所做的一系列研究所得结论一致,即无论是吸附还是解吸过程,煤粒外部压力变化与否,煤粒形状如何,均可得到达西定律是煤粒瓦斯流动基本规律。
[Abstract]:In order to verify that Darcy's law is universal for gas flow of coal particles, on the basis of the experiments of constant pressure adsorption and pressure swing desorption of coal particles of different shapes, the experiment of gas pressure swing adsorption of coal particles in closed space is designed, which is based on the experiments of constant pressure adsorption and pressure swing desorption of different shapes of coal particles. Four kinds of coal samples with different particle sizes were obtained: 42.976, 11.600 ~ 13.800, 3.350 ~ 4.000 and 1.180 ~ 1.400 mm, respectively, under the initial pressures of 0.5, 1, 2 and 4 MPa, the accumulative adsorption capacity of gas varied with time. Based on Darcy's law and Fick's law, the mathematical models of gas pressure swing adsorption of coal particles in closed space are established respectively. By using the finite difference method calculation model and Visual Basic computer program, the cumulative adsorption capacity of gas under different time and different initial gas pressure was obtained. The relationship between ln [1-(Q _ (Q _ 鈭，
本文编号：2449511
[Abstract]:In order to verify that Darcy's law is universal for gas flow of coal particles, on the basis of the experiments of constant pressure adsorption and pressure swing desorption of coal particles of different shapes, the experiment of gas pressure swing adsorption of coal particles in closed space is designed, which is based on the experiments of constant pressure adsorption and pressure swing desorption of different shapes of coal particles. Four kinds of coal samples with different particle sizes were obtained: 42.976, 11.600 ~ 13.800, 3.350 ~ 4.000 and 1.180 ~ 1.400 mm, respectively, under the initial pressures of 0.5, 1, 2 and 4 MPa, the accumulative adsorption capacity of gas varied with time. Based on Darcy's law and Fick's law, the mathematical models of gas pressure swing adsorption of coal particles in closed space are established respectively. By using the finite difference method calculation model and Visual Basic computer program, the cumulative adsorption capacity of gas under different time and different initial gas pressure was obtained. The relationship between ln [1-(Q _ (Q _ 鈭，
本文编号：2449511
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