Abstract
The present study is based on numerical investigation of mixed convection coupled with surface radiation within a differentially heated square cavity. The effect of surface radiation on the flow regimes, because of the combined effect of shear induced flow and buoyancy, was investigated. We analyzed the flow which is steady, two-dimensional, and laminar within a differentlially heated cavity. The fluid is considered to be incompressible and the source term is evaluated using the Boussinesq approximation. The finite difference method was employed as a numerical scheme to solve the momentum and energy equations. The net radiation method is used to evaluate radiosity from diffuse and gray surfaces. A parametric study was conducted with the following controlling parameters: Rayleigh number (Ra), Richardson number (Ri), emissivity (e), and wall motion. It is found that for opposing mixed convection regimes (i.e., at Ri = 1 or more) in the presence of surface radiation, the heat transfer rate is higher for the horizontal wall movement than that for the vertical wall movement. In the presence of pure opposing mixed convection, the minimum heat transfer rate occurs at the Richardson number Ri =1 for the vertical wall movement, but at the Richardson number Ri = 1.8 for the horizontal wall movement. In contrast to the convective heat transfer, radiative heat transfer is found to be independent of Ri and wall movement.
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