TY  - EJOU
AU  - Prasad, Ravi Shankar 
AU  - Singh, S.N. 
AU  - Gupta, Amit Kumar 

TI  - NUMERICAL INVESTIGATION OF COUPLED NATURAL  CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY  WITH THE LINEARLY HEATED SIDE WALL(S)
T2  - Frontiers in Heat and Mass Transfer

PY  - 2022
VL  - 19
IS  - 1
SN  - 2151-8629

AB  - 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 (10<sup>3</sup> ≤ Ra ≤ 10<sup>6</sup>
) and the surface emissivity of walls 
(0.05 ≤ε≤ 0.85) are analyzed.
KW  - closed cavity
KW  -  free convection
KW  -  linearly heated
KW  -  radiation
KW  -  stream function
KW  -  vorticity

DO  - 10.5098/hmt.19.16