Ravi Shankar Prasad, S. N. Singh, Amit Kumar Gupta

Frontiers in Heat and Mass Transfer (FHMT) 19 - 16 (2022)

The results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the uniformly heated bottom wall, linearly heated vertical side wall(s) and the adiabatic top wall is discussed. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., the Navier-Stokes Equation in the stream function – vorticity form and the Energy Equation are solved for a constant property fluid under the Boussinesq approximation. For discretization of these equations, the finite volume technique is used. For the radiation calculations, the radiosity-irradiation formulation is used and the shape factors are calculated by using the Hottel’s crossed-string method. The effects of pertinent parameters like the Rayleigh Number (10³ ≤ Ra ≤ 10⁶) and the surface emissivity of walls (0.05 ≤ε≤ 0.85) are analyzed.