The conjugate natural convection-conduction heat transfer in a square domain composed of a cavity heated by a triangular solid wall is studied under steady state condition. The vertical and horizontal walls of the triangular solid are kept isothermal and at the same hot temperature T h . The other boundaries surrounding the porous cavity are kept adiabatic except the right vertical wall, where it is kept isothermally at the lower temperature T c . Equations governing the heat transfer in the triangular wall and heat and fluid flow, based on the Darcy model, in the fluid-saturated porous medium together with the derived relation of the interface temperature are solved numerically using the second order central differences finite difference scheme with the successive over relaxation (SOR) method. The investigated parameters are the Rayleigh number Ra (100-1000), solid to fluid saturated porous medium thermal conductivity ratio Kr (0.1–10), and the triangular wall thickness D (0.05-1). The results are presen...

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Conjugate Heat Transfer in a Porous Cavity Heated by a Triangular Thick Wall

Conjugate natural convection in porous media

Investigation of natural circulation in cavities with uniform heat generation for different Prandtl number fluids

https://iopscience.iop.org/article/10.1016/0169-5983(95)00002-U/pdf

Conjugate free convection on a vertical surface in a saturated porous medium

Conjugate free convection along a vertical cylindrical fin in a non-Newtonian fluid-saturated porous medium has been investigated theoretically. The boundary layer equations based on the power lay model appropriate for the Darcy flows are solved numerically exploiting a very efficient finite difference method. Effects of the power-law index, conjugate convection-conduction parameter and the surface curvature parameter on the fin temperature distribution, local heat transfer-coefficient and local heat flux are studied and presented in graphical and tabular form.

Jin Yuan Liu

Papers

The effect of prandtl number on conjugate heat transfer in porous media