Thermal and Entropic Analysis of Viscous Fluid Flow in a Porous Channel With Convective Heat Transfer and Magnetic Field Aspects
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Date
2025-12-27
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Wiley
Abstract
This study examines the thermal and entropy generation characteristics of viscous fluid flow through a porous channel under convective cooling and magnetic field effects. The flow is modeled using the steady state momentum and energy equations and solved numerically via a finite difference scheme. Parametric variations in Darcy number ( Da), magnetic parameter ( M ), pressure gradient ( A ), Biot number ( Bi ), Prandtl number ( Pr), Eckert number ( Ec), and internal heat generation ( Q ) are analyzed. Results show that increasing M from 0 to 20 reduces entropy generation by approximately 18%, while raising Bi from 0 to 0.6 decreases entropy by about 12%. Higher Da and Q promote thermal buildup but increase irreversibility, whereas stronger M and Bi stabilize flow, lower temperatures, and improve thermodynamic efficiency. The Nusselt number increases with Bi and Ec, enhancing heat transfer, while skin friction decreases with stronger magnetic fields. These findings provide practical guidance for selecting permeability, magnetic field strength, and surface heat transfer characteristics to optimize energy efficiency and thermal performance in porous channel thermal systems and magnetohydrodynamic applications.
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This journal article was published by Wiley