3D-Numerical simulation of free convection inside a cubical cavity filled with non-Newtonian-Bingham fluid

Keddar, Mohammed; Draoui, Belkacem; Mebarki, Brahim; Medale, Marc; Benhanifia, Kada

doi:10.30772/qjes.2024.150673.1271

	3D-Numerical simulation of free convection inside a cubical cavity filled with non-Newtonian-Bingham fluid
Al-Qadisiyah Journal for Engineering Sciences
Article 9, Volume 17, Issue 3, September 2024, Pages 273-281 PDF (1.3 M)
Document Type: Research Paper
DOI: 10.30772/qjes.2024.150673.1271
Authors
Mohammed Keddar^* ¹; Belkacem Draoui¹; Brahim Mebarki¹; Marc Medale²; Kada Benhanifia¹
¹Laboratory of Arid Zones Energetic - (ENERGARID), Faculty of Technology, University of Tahri Mohamed Bechar, BP 417 (08000), Bechar, Algeria
²Université Aix-Marseille, Polytech Marseille, Dépt Mécanique Energétique Laboratoire IUSTI, UMR 7343 CNRS-Université Aix-Marseille Technopole de Chateau-Gombert, 5 rue Enrico Fermi 13453 MARSEILLE, Cedex 13, France
Abstract
This work focuses on a numerical study of the natural convection of a non-Newtonian viscoplastic fluid within a cubic enclosure. The viscoplastic behavior is described by the Bingham model. The considered three-dimensional convective flow is confined within a cavity, subjected to a horizontal temperature gradient, where the vertical walls have two imposed temperatures while the rest of the walls are adiabatic. The Navier-Stokes equations, along with the mass and energy conservation equations, are numerically solved. Fluid flow and heat transfer characteristics are systematically studied over a wide range of Rayleigh numbers Ra (10³ - 10⁶) and Bingham number Bn (0 - 20). Finally, comparisons were made with previous results obtained in two dimensions in order to analyze the existence of a three-dimensional effect on the flow of the Bingham fluid. The results show that the Nusselt number decreases with the increase of the Bingham number, and for the large values of the latter the heat transfer is done by conduction. It is also noteworthy that the critical Bn of the 2D model is higher than that of the 3D model, which confirms the existence of the three-dimensional effect. This is attributed to the presence of a wall along the Z axis which hinders and limits the flow of fluid within the enclosure.
Keywords
Natural convection; Non-Newtonian fluid; Bingham fluid; 3D Numerical simulation; Cubical Cavity

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