Ravi Shankar Prasad, Ujjwal Kumar Nayak, Rajen Kumar Nayak, Amit Kumar Gupta

Frontiers in Heat and Mass Transfer (FHMT) 19 - 4 (2022)

This paper presents the results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the inversely linearly heated vertical opposite side walls and the adiabatic top and bottom walls. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., Navier-Stokes Equation in the stream function - vorticity form and 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 using the Hottel’s crossed-string method. The effects of pertinent parameters like Rayleigh Number (10³ ≤ Ra ≤ 10⁶) and the surface emissivity of walls (0.05 ≤ε≤ 0.85) are studied and analyzed.