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NUMERICAL INVESTIGATION OF COUPLED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE LINEARLY HEATED SIDE WALL(S)

Ravi Shankar Prasada,*, S.N. Singhb, Amit Kumar Guptac

a Department of Mechanical Engineering, B.I.T. Sindri, Dhanbad, Jharkhand, PIN 828123, India
b Department of Mechanical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, PIN 826004, India
c Department of Chemical Engineering, B.I.T. Sindri, Dhanbad, Jharkhand, PIN 828123, India
* Corresponding author. Email: rsprasad.me@bitsindri.ac.in

Frontiers in Heat and Mass Transfer 2022, 19, 1-11. https://doi.org/10.5098/hmt.19.16

Abstract

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.

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APA Style
Prasad, R.S., Singh, S., Gupta, A.K. (2022). NUMERICAL INVESTIGATION OF COUPLED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE LINEARLY HEATED SIDE WALL(S). Frontiers in Heat and Mass Transfer, 19(1), 1-11. https://doi.org/10.5098/hmt.19.16
Vancouver Style
Prasad RS, Singh S, Gupta AK. NUMERICAL INVESTIGATION OF COUPLED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE LINEARLY HEATED SIDE WALL(S). Front Heat Mass Transf. 2022;19(1):1-11 https://doi.org/10.5098/hmt.19.16
IEEE Style
R.S. Prasad, S. Singh, and A.K. Gupta "NUMERICAL INVESTIGATION OF COUPLED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE LINEARLY HEATED SIDE WALL(S)," Front. Heat Mass Transf., vol. 19, no. 1, pp. 1-11. 2022. https://doi.org/10.5098/hmt.19.16



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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