幂律流体饱和多孔介质平板通道流动特性分析  

Flow characteristic analysis of the power-law fluid in a parallel plate channel with saturated porous medium

作　　者：田兴旺[1,2] 王平[1] 徐士鸣[1] 

机构地区：[1]大连理工大学能源与动力学院,辽宁大连116024 [2]大连海洋大学海洋与土木工程学院,辽宁大连116023

出　　处：《哈尔滨工程大学学报》2015年第4期511-515,543,共6页Journal of Harbin Engineering University

基　　金：国家自然基金资助项目(51276029)

摘　　要：针对幂律流体在填充多孔介质平行板通道中强迫流动充分发展的流动特性问题,基于Darcy-Brinkman-Forchheimer流动模型,通过假定边界层内速度分布经验关系式,采用边界层动量积分方法,推导出边界层厚度、轴向流速及压力降的无量纲计算表达式。比较了线性、抛物线两种速度分布模型与分析解的接近程度,并讨论了达西数Da、综合惯性参数F'、粘性比M、孔隙率φ及幂律指数n等对无量纲轴向流速分布和压力降的影响。计算结果表明,在非达西流区抛物线速度分布模型的精度更高,除M外,Da、F'、M、φ及n对无量纲轴向流速分布和压力降均有较大影响。Aiming at the flow characteristic problem about the forced, fully developed flow in a parallel plate chan-nel filled with saturated porous medium of a power-law fluid, by employing the Darcy-Brinkman-Forchheimer flow model and the boundary layer momentum integral method, and assuming the speed distribution empirical formula in the boundary layer, the dimensionless calculation expressions of the boundary layer thickness, the axial velocity and pressure drop were derived in this paper.The proximity of the linear and parabolic velocity distribution model and analysis solution was compared.The influences of Darcy number Da, integrated inertial parameter F′, viscosity ratio M, porosityφand power-law index n on the dimensionless axial velocity distribution and pressure drop were al-so discussed in this paper.The results indicated that the parabolic model can be more accurate than the linear mod-el in the non-Darcy regime.The effects of governing parameters Da, F′,φand n on the dimensionless axial velocity distribution and pressure drop are significant, but the effect of M is small.

关 键 词：幂律流体 多孔介质 动量积分 流动特性 速度分布 非达西流区 

分 类 号：TE312[石油与天然气工程—油气田开发工程]