This work reports on fluid flow in a fluid-saturated porous medium, accounting for the boundary and inertial effects in the momentum equation. The flow is simulated by Brinkman-Forchheimer-extended Darcy formulation (DFB), using MAC (Marker And Cell) and Chorin pressure iteration method. The method is validated by comparison with analytic results. The effect of Reynolds number, Darcy number, porosity and viscosity ratio on velocity is investigated. As a result, it is found that Darcy number has a decisive influence on pressure as well as velocity, and the effect of viscosity ratio on velocity is very strong given the Darcy number. Additional key findings include unreasonable choice of effective viscosity can involve loss of important physical information.
1.Introduction Along with the rapid development of human engineering activities,more and more rock engineering...
Zhen-dong Cui~(a,*),Da-an Liu~a,Guang-ming An~b,Bo Sun~a,Miao Zhou~c,Fu-quan Cao~c a Key Laboratory of Geo-mechanics,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China b CNNC China Nuclear Power Engineering Co.,Ltd,Beijing 100840,China c China University of Mining and Technology,School of Mechanics and Civil Engineering,Beijing 100083,China
