Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Numerical Simulation of Mixed Convection in Porous Media Induced by Viscous Dissipation
Submission Author:
Pedro Vayssiere Brandão , RJ
Co-Authors:
Ricardo Dias dos Santos, Leonardo Santos de Brito Alves, Pedro Vayssiere Brandão
Presenter: Pedro Vayssiere Brandão
doi://10.26678/ABCM.COBEM2017.COB17-1722
Abstract
Linear stability analysis shows that the two dimensional modes are the most unstable for this physical problem, hence this paper presents a numerical simulation of a two dimensional throughflow in a porous media, where the viscous dissipation is taken account. The boundaries of the channel are considered as being isothermals, where the bottom is heater than the top, originating so a vertical temperature gradient. Here are presented some cases where the temperature gradient exceeds the critical value, originating so the secondary flow, that is the mixed convection. In order to do that, the streamfunction formulation of the governing equations are solved numerically, where the finite difference method is used and the time integration is done by using a runge-kutta method. The results are compared with some results found in the literature, for the onset of mixed convection to this kind of problem, obtained by linear stability analysis.
Keywords
TDNS, instability due to viscous dissipation, non-linear stability analysis, porous medium
