伯努利定理适用条件分析

本文分析了以理想流体的运动微分方程推导伯努利定理时所利用的限制条件,对有势力作用下不可压缩流动的流场中应用伯努利定理的矢径微分量、速度、涡量之间的关系进行了深入讨论.分析结果表明当流动为无旋流动或螺旋流时,伯努利常数在流场各点取相同值;伯努利常数在流涡面上各点取值相等,沿流线或涡线积分均为在流涡面上积分的特殊情况.     

A Modified LBM Model for Simulating Gas Seepage in Fissured Coal Considering Klinkenberg Effects and Adsorbability-Desorbability

A modified Lattice-Boltzmann method is proposed by considering the Klinkenberg effect and adsorbability-desorbability for the purpose of simulating methane gas seepage in fissured coal. The results show that the Klinkenberg effect has a little influence on methane gas seepage in fissured coal, so it can be neglected in engineering computations for simplicity. If both the Klinkenberg effect and the adsorbability-desorbability are considered, the Klinkenberg influence on gas pressure decreases as the Darcy coefficient increases. It is found by gas drainage simulations that near a drainage hole, the effect of adsorption and desorption cannot be neglected, and the location of the drainage hole has a great influence on drainage efficient λ when the hole is just located at the mid-zone of the coal seam, λ is 0.691808; when the hole is excursion down to 1.0m from the mid-zone of coal seam, λ decreases to 0.668631; when the hole is excursion up or down to 2.0m from the mid-zone of coal seam, λ decreases to 0.632917. The simulations supply an effective approach for optimizing the gas drainage hole location.