Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Entropy Generation Analysis at Mixed MHD Convection in a Square Lid-Driven Cavity Filled With Darcy–Brinkman- Forcheheimer Porous Medium

Version 1 : Received: 9 October 2016 / Approved: 10 October 2016 / Online: 10 October 2016 (09:56:36 CEST)

How to cite: Bouabda, R.; Bouabid, M.; Magherbi, M. Entropy Generation Analysis at Mixed MHD Convection in a Square Lid-Driven Cavity Filled With Darcy–Brinkman- Forcheheimer Porous Medium. Preprints 2016, 2016100029. https://doi.org/10.20944/preprints201610.0029.v1 Bouabda, R.; Bouabid, M.; Magherbi, M. Entropy Generation Analysis at Mixed MHD Convection in a Square Lid-Driven Cavity Filled With Darcy–Brinkman- Forcheheimer Porous Medium. Preprints 2016, 2016100029. https://doi.org/10.20944/preprints201610.0029.v1

Abstract

The numerical simulation of entropy generation at mixed natural free and forced convection flow in a square lid-driven cavity filled with an eletrically conducting binary fluids saturated porous media in the presence of a magnetic field is performed in this investigation. Both the top and bottom horizontal walls of the cavity are kept at constant and different temperatures while the left and right vertical walls are adiabatic and insulated. The magnetic field is applied in normal direction to the cavity. The Darcy model, including Brinkman term relative to viscous effects and Forchheimer term due to inertial forces, is used for the momentum equations, and the SIMPLER algorithm, based on the control volume finite-element method approach is used to solve the pressure –velocity coupling. The flow pattern and the heat transfer characteristics inside the cavity are presented in the form of isotherms, streamlines and isentropic lines and average Nusselt number trend. The entropy generation rate is determined for various values of Darcy number (10-3 ≤ Da ≤ 1) and for a range of Hartmann number (0 ≤ Ha ≤ 102). This study is limited to Pr = 7 which corresponds to water. It is observed that entropy generation is very affected by the variations of dimensionless control parameters considered.

Keywords

Mixed MHD convection; porous media; Lid-Driven Cavity; Entropy generation; numerical CVFEM method

Subject

Engineering, Automotive Engineering

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