Roach, D.C.; Hamdan, M.H. Flow Governed by Generalised Brinkman’s Equation through an Inclined Porous Channel. Appl. Sci.2023, 13, 11445.
Roach, D.C.; Hamdan, M.H. Flow Governed by Generalised Brinkman’s Equation through an Inclined Porous Channel. Appl. Sci. 2023, 13, 11445.
Roach, D.C.; Hamdan, M.H. Flow Governed by Generalised Brinkman’s Equation through an Inclined Porous Channel. Appl. Sci.2023, 13, 11445.
Roach, D.C.; Hamdan, M.H. Flow Governed by Generalised Brinkman’s Equation through an Inclined Porous Channel. Appl. Sci. 2023, 13, 11445.
Abstract
Unidirectional flow of a fluid with pressure-dependent viscosity through a porous structure is considered when the viscosity-pressure relationship is an exponential function of a pressure power function in order to investigate effects of the viscosity-pressure relation on the flow characteristics. The flow is governed by the generalized Brinkman’s equation with constant permeability, and a model flow domain of flow down an inclined porous channel is chosen for the sake of studying flow behaviour. Although the current work considers flow in a constant permeability porous structure, it does represent a first step in studying the more general, flow through a variable permeability porous channel. The arising governing equations are solved numerically using MATLAB and the flow is simulated to illustrate the effects of fluid properties as well as flow and medium parameters on the velocity profiles and shear stress.
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