Laminar Mixed Convection in a Parallel Two-Sided Lid-Driven Differentially Heated Square Cavity Filled with a Fluid-Saturated Porous Medium

Abstract

Two-dimensional, steady, mixed convection flow in an enclosure filled with a Darcian fluidsaturated uniform porous medium is considered. Both the left wall and the right wall are moving upwards with same velocity. They are maintained at cold and hot constant temperatures respectively. The top and the bottom walls are fixed and are thermally insulated. The governing equations are normalized and solved numerically with boundary conditions by finite volume approach using third order accurate upwinding scheme (deferred QUICK). To validate the code, comparisons are made with previously published work and are found to be in excellent agreement. The study is conducted by varying the key parameters i.e., Richardson number (Ri ¼ Gr=Re 2 ), Darcy number (Da ¼ j=H 2 ) and Grashof number (Gr ¼ gbH 3 DT=n 2 ) and fixing Prandtl number (Pr ¼ 0:71). A parametric study is conducted and a set of streamline and isotherm plots are presented. The average Nusselt number reaches a value of 1 asymptotically when the Ri is gradually increased for Gr up to 10 3 . For Gr ¼ 10 4 , the asymptotic value is 1.5. An empirical heat transfer correlation is also presented.

Numerical study of mixed convection on jet impingement cooling in an open cavity filled with porous medium

“…Studies associated with mixed convection in open cavities have received increasing attention [7][8][9][10][11][12][13]. Pavlovic and Penot [7] have performed an experimental study of the heat transfer in an open isothermal cubic cavity in the mixed convection mode.…”

“…Vishnuvardhanarao and Das [13] investigated numerically the mixed convection heat transfer in a two-dimensional lid driven heated square cavity filled with a fluid-saturated porous medium and subjected to the left and the right walls moving upward. The left and the right walls are under cold and hot conditions respectively.…”

Convection in a Lid-Driven Heat-Generating Porous Cavity with Alternative Thermal Boundary Conditions

“…They found that the higher porosity promotes much more enhancement of convective heat transfer, but the lower porosity is desired for higher total heat transfer due to the higher value of effective thermal conductivity. The similar type of research was carried out by Khanafer and Vafai (2002); Kandaswamy et al (2008); Vishnuvardhanarao and Das (2008).…”

Heat transfer enhancement of mixed convection in a square cavity with inlet and outlet ports due to oscillation of incoming flow

“…Hence many researchers have investigated the properties of mixed convection in a wide range of situations [1][2][3][4][5][6]. Aydin [7] performed a numerical simulation to investigate laminar combined convection in a shear and buoyancy-driven cavity.…”