Numerical Simulation of Natural Convection in A Cavity Filled  with A Nanofluid Who’s Wall Containing the Heat Source Is  Inclined

Jamal Ghouizi; Mohamed Nabou; Mohammed Elmir; Mohamed Douha; Mehdi Berramdane

Authors

Jamal Ghouizi ENERGARID Laboratory, Faculty of Technology, TAHRI Mohamed University of Bechar, B.P.417, 08000, Bechar, Algeria
Mohamed Nabou ENERGARID Laboratory, Faculty of Technology, TAHRI Mohamed University of Bechar, B.P.417, 08000, Bechar, Algeria
Mohammed Elmir ENERGARID Laboratory, Faculty of Technology, TAHRI Mohamed University of Bechar, B.P.417, 08000, Bechar, Algeria
Mohamed Douha ENERGARID Laboratory, Faculty of Technology, TAHRI Mohamed University of Bechar, B.P.417, 08000, Bechar, Algeria
Mehdi Berramdane ENERGARID Laboratory, Faculty of Technology, TAHRI Mohamed University of Bechar, B.P.417, 08000, Bechar, Algeria

Keywords:

Natural convection, Nanofluid, Cooling, Finite Elements Method, Numerical Simulation

Abstract

In this work, we study by numerical simulation the natural convection in a trapezoidal cavity filled with a nanofluid whose wall containing the heat source is successively inclined at an angle varying from 0 to 60 ° at the most (in order to maintain a valid model straight vertical wall) with respect to the horizontal. The upper and lower walls on either side of the heat source are adiabatic while the other walls are subjected to a constant cold temperature. The hydrodynamic and thermal phenomena are described by the equations of Navier-Stockes and energy. The models Brinkman and Wasp are used to describe the thermo-physical properties of the nanofluid (water- ).The finite element method; based on the Galerkin principle; is used to solve the system of partial differential equations. We consider the effect of the solid volume fraction for different values ??of the Rayleigh number on the results obtained, in the form of isotherms and local, modified Nusselt numbers