Conjugate natural convection in a vertical porous layer sandwiched by finite thickness walls

Steady conjugate natural convection in two-dimensional vertical porous layer sandwiched between two equal-thickness walls is studied numerically in the present article. The horizontal heating is considered, where the outer surfaces of the vertical walls are isothermal at different temperatures with adiabatic horizontal boundaries. The Darcy model is used in the mathematical formulation for the porous layer and finite volume method is used to solve the dimensionless governing equations. The governing parameters considered are the ratio of the wall thickness to its height, the wall to porous thermal conductivity ratio and the Rayleigh number. The results are presented to show the effect of these parameters on the heat transfer and fluid flow characteristics.

[1]  A. Mohamad Nonequilibrium Natural Convection in a Differentially Heated Cavity Filled With a Saturated Porous Matrix , 2000 .

[2]  Ioan Pop,et al.  Natural Convection from a Discrete Heater in a Square Cavity Filled with a Porous Medium , 2005 .

[3]  J. Chow,et al.  Heat transfer in curved tubes with pulsating flow , 1982 .

[4]  A. Liaqat,et al.  Conjugate natural convection in a square porous cavity , 2001 .

[5]  E. Bilgen,et al.  Natural-convection heat transfer in an inclined porous layer boarded by a finite-thickness wall , 1993 .

[6]  I. Pop,et al.  Conjugate natural convection in porous media , 1997 .

[7]  C. L. Tien,et al.  Boundary and inertia effects on flow and heat transfer in porous media , 1981 .

[8]  Toshiyuki Hayase,et al.  A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures , 1992 .

[9]  Wen-Jeng Chang,et al.  WALL HEAT CONDUCTION EFFECT ON NATURAL CONVECTION IN AN ENCLOSURE FILLED WITH A NON-DARCIAN POROUS MEDIUM , 1994 .

[10]  Nawaf H. Saeid,et al.  Natural convection in a porous cavity with spatial sidewall temperature variation , 2005 .

[11]  Chang Wen-Jeng,et al.  Natural convection in a finite wall rectangular cavity filled with an anisotropic porous medium , 1994 .

[12]  Kambiz Vafai,et al.  Analysis of flow and heat transfer at the interface region of a porous medium , 1987 .

[13]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[14]  A. Mhimid,et al.  Anisotropy Effects on Heat and Fluid Flow by Unsteady Natural Convection and Radiation in Saturated Porous Media , 2005 .

[15]  C. L. Tien,et al.  Boundary and inertia effects on convective mass transfer in porous media , 1982 .

[16]  F. Kulacki,et al.  Natural convection across a vertical layered porous cavity , 1988 .

[17]  B. Kumar,et al.  EFFECT OF THERMAL STRATIFICATION ON FREE CONVECTION IN A FLUID-SATURATED POROUS ENCLOSURE , 1998 .