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Viscous dissipation effects on entropy generation and heat transfer in cylindrical packed beds subjected to reciprocating flow

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A numerical study of the viscous dissipation effects on entropy generation for oscillating flow, within a cylinder filled with a porous medium and heated by a constant heat flux at the wall, was carried out in laminar flow regime. The flow is modelled by the Brinkman–Lapwood–Forchheimer–extended Darcy model (DBLF). The mathematical model for energy transport is based on the local thermal equilibrium assumption and takes into account the viscous dissipation effects. The obtained differential system equations are solved using the control volume–based finite element method (CVFEM) with an unequal order velocity-pressure interpolation. The numerical results of the flow, heat transfer and entropy generation are presented and discussed. The influence of physical parameters, such as the dimensionless oscillation amplitude, the Darcy number, the Reynolds number, the thermal conductivity ratio, the heat capacity ratio, the Eckert number, the Brinkman number and the dimensionless temperature, is presented and discussed throughout this paper.

Keywords: viscous dissipation effects, entropy generation, heat transfer, cylindrical packed beds, reciprocating flow, DBLF, volume–based FEM, finite element method, CVFEM, oscillating flow, laminar flow, mathematical modelling

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