Open Access

ARTICLE

COMBINED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE INVERSELY LINEARLY HEATED OPPOSITE SIDE WALLS

Ravi Shankar Prasad^a,*,†, Ujjwal Kumar Nayak^a, Rajen Kumar Nayak^a, Amit Kumar Gupta^b

a Department of Mechanical Engineering, B.I.T. Sindri, P.O.: Sindri Institute, Sindri, Dhanbad, Jharkhand, PIN: 828123, India
b Department of Chemical Engineering, B.I.T. Sindri, P.O.: Sindri Institute, Sindri, Dhanbad, Jharkhand, PIN: 828123, India
* Department of Mechanical Engineering, B.I.T. Sindri, P.O.: Sindri Institute, Sindri, Dhanbad, Jharkhand, PIN: 828123, India
† Corresponding author. Email: rsprasad.me@bitsindri.ac.in

Frontiers in Heat and Mass Transfer 2022, 19, 1-7. https://doi.org/10.5098/hmt.19.4

Abstract

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.

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Keywords

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