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Proceedings of the 27th National and 5th International ISHMT-ASTFE Heat and Mass Transfer Conference December 14-17, 2023, IIT Patna, Patna-801106, Bihar, India
December, 14-17, 2023, Bihar, India

Convective Heat Transfer In An Open Trapezoidal Cavity Below A Horizontal Channel Inscribed By Porous Media

Get access (open in a dialog) DOI: 10.1615/IHMTC-2023.1670
pages 1027-1032


This study considers an open trapezoidal cavity beneath a porous medium-filled channel. The unsteady free convective flow through porous material is investigated under Darcy's law. The fluid and porous medium properties are assumed to be in thermal equilibrium. The non-dimensionalized governing equations for heat transport and fluid flow were calculated using the weighted residual Galerkin finite element method. Steady-state solutions, a comparison with previously published results, and a grid independence test are used to illustrate the numerical technique's algorithm's accuracy. Results for the iso-thermal lines and fluid streamlines are displayed graphically, and the average Nusselt numbers for the fluctuation of the inverse Darcy's number and Rayleigh's number are tabulated.