Surface Radiation and Natural Convection from Discrete Bottom Heating in Square Cavity

2021 ◽  
pp. 1-11
Author(s):  
Mohammed Amine Moussaoui ◽  
Soufiane Derfoufi ◽  
Ahmed Mezrhab ◽  
Jean Pierre Fontaine
Keyword(s):  
Natural Convection ◽  
Surface Radiation ◽  
Square Cavity ◽  
Bottom Heating

Effect of Surface Radiation on Multiple Natural Convection Solutions in a Square Cavity Partially Heated from Below

2006 ◽  
Vol 128 (10) ◽  
pp. 1012-1021 ◽  
Author(s):  
El Hassan Ridouane ◽  
Mohammed Hasnaoui
Keyword(s):  
Steady State ◽  
Natural Convection ◽  
Numerical Study ◽  
Heated Surface ◽  
Steady State Solution ◽  
Surface Radiation ◽  
Bottom Wall ◽  
Square Cavity ◽  
Square Enclosure ◽  
Surface Dimension

A numerical study of natural convection with surface radiation in an air filled square enclosure with a centrally heated bottom wall and cooled upper wall is presented. The vertical walls and the rest of the bottom wall are assumed to be insulated. The problem is studied for Rayleigh numbers Ra, ranging from 103 to 4×106 and surfaces emissivity ε, varying from 0 to 1. The governing equations, written in terms of stream function-vorticity formulation, are solved using a finite difference approach. It is found that, under these heating/cooling conditions, three different steady-state solutions are possible in the ranges of the parameters considered. Results are presented detailing the occurrence of each steady-state solution and the effect of Ra and ε on its range of existence. It is found that the surface radiation alters significantly the existence ranges of the solutions. For each solution, convective and radiative contributions to the global heat transfer are also quantified for various Ra and ε. The influence of the heated surface dimension on the fluid flow and thermal patterns is also presented by comparing the present results against those obtained by the authors in an earlier study within a square cavity totally heated from below.

Natural Convection and Surface Radiation in an Inclined Square Cavity with Two Heat-Generating Blocks

2022 ◽  
pp. 948-957
Author(s):  
Rachid Hidki ◽  
Lahcen El Moutaouakil ◽  
Mohammed Boukendil ◽  
Zouhair Charqui ◽  
Abdelhalim Abdelbaki
Keyword(s):  
Natural Convection ◽  
Surface Radiation ◽  
Square Cavity
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