Simulation of Flow Through Variable Permeability Darcy–Brinkman Layers

Abstract

Abstract In this paper, coupled parallel flow in a triple layer channel is studied numerically. The channel consists of a clear fluid sandwiched between two Darcy–Brinkman permeable layers of variable porousness. A single binary equation is presented, in which, the penetrability within transition porous layers is portrayed by a nth degree objective capacity. However, because of the absence of explanatory arrangement of the issue, direct numerical simulations are performed in order to give a novel knowledge into the fluid dynamics inside permeable media of variable porousness. These simulations are carried out through utilizing a modified steady-state finite volume solver from the open source programing bundle openfoam. After check and approval of the solver and mathematical technique, parametric investigation is acted in which the Darcy number, intensity of the penetrability degree, transition layer thickness, channel depth, fluid viscosity, and pressure gradient vary. The findings of this study show that velocity increases when: first, the Darcy number, the degree, or the channel depth increases; second, when the transition layer thickness decreases. Also, strain rate is almost independent of both Darcy number and degree and nearly doubles when either the thickness of transition layer halves or the channel depth doubles. In addition, velocity and strain rate are found to scale with viscosity and pressure gradient.