Yazan Taamneh, Reyad Omari

Abstract:

The influence of non-Darcian buoyancy on convection caused by buoyancy in a porous square chamber with sine wave boundary conditions on the two sidewalls is examined numerically. A sinusoidal temperature distribution is applied to the cavity's vertical sidewalls. The COMSOL Multiphysics software is utilized to solve the dimensionless governing equations for the porous cavity, which is formulated mathematically using the non-Darcian flow model under local thermal equilibrium. The flow inside the porous chamber is governed by an expanded Darcy model by Brinkman Forchheimer. The simulation results are presented in terms of the Darcy numbers (Da), porosity (ε), phase deviation (ϕ), amplitude ratio (a), Grashof (Gr), and Forchheimer's coefficient (Γ). The heat transfer rate was increased by the amplitude ratio, porosity, Grashof, and Darcy numbers. Moreover, heating both sides of the vertical cavity increases the rate of heat transfer more than heating just one.

Keywords: Porous square cavity, sinusoidal boundary condition, and Darcy flow

Date Published: May 1, 2024
DOI: 10.11159/jffhmt.2024.008

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