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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.v3.i1.60
pages 73-87

COMBINED EFFECTS OF RADIATION AND NATURAL CONVECTION IN A SQUARE CAVITY SUBMITTED TO CROSS GRADIENTS OF TEMPERATURE: CASE OF PARTIAL HEATING AND COOLING

R. El Ayachi
Sultan Moulay Slimane University, Faculty of Sciences and Technologies, Department of Physics, Laboratory of Flows and Transfers Modelling (LAMET), B.P. 523, Beni-Mellal 23000, Morocco
Abdelghani Raji
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco
Mohammed Hasnaoui
University Cadi Ayyad, Faculty of Sciences Semlali
A. Abdelbaki
Cadi Ayyad University, Faculty of Sciences Semlalia, Department of Physics, Laboratory of Fluid Mechanics and Energetics (LMFE), Unit affiliated to CNRST (URAC, 27), B.P. 2390, Marrakech, Morocco
Mohamed Naimi
Faculty of Sciences and Technologies, Physics Department, Laboratory of Flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, B.P. 523, Beni-Mellal, Morocco

ABSTRACT

The present paper reports numerical results of natural convection and surface radiation within a square cavity filled with air and discretely heated and cooled from the four walls. In this study, the bottom active wall is at higher temperature than that of the top active wall. The remaining portions of the horizontal walls are considered adiabatic. The parameters governing the problem are the emissivity of the walls (0 ≤ ε ≤ 1), the relative lengths of the active elements (0.1 ≤ B = h'/H' = l'/L ≤ 0.9), and the Rayleigh number (104 ≤ Ra ≤ 3 × 106). The effect of these parameters on heat transfer and fluid flow within the cavity is examined. Results of the study are presented and compared to the case of pure natural convection for various typical combinations of the governing parameters in terms of flow and temperature patterns, average convective, radiative, and total Nusselt numbers. The heatlines visualization technique, which is a useful means for understanding the mechanism of heat flow, is employed to exhibit the direction and intensity of heat flux in the cavity.


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