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ISSN: 2377-424X (online)
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# NATURAL CONVECTION IN AN ENCLOSURE WITH LOCALIZED HEATING AND COOLING: A NUMERICAL STUDY

F.K Gatheri
University of New South Wales, Kensington, N.S.W., 2033, Australia

John Reizes
School of Mechanical and Manufacturing Engineering, UNSW-Sydney, Sydney 2052, Australia

Eddie Leonardi
Computational Fluid Dynamics Research Laboratory, School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, Australia 2052

Graham de Vahl Davis
University of New South Wales, Kensington, NSW, Australia

DOI: 10.1615/IHTC10.3910
pages 361-366

## Abstract

Natural convection in an enclosure arising from localized heating and cooling is encountered in a number of situations of practical importance, such as the use of convection heaters in a room. In this study the geometry of the problem of interest consists of a three-dimensional enclosure, in the form of a room containing a convection heater built into one wall and having a window in the same wall. The heater is located below the window and the remaining walls are insulated. The window area has been varied, but its centre is fixed, whereas the heater area has been kept constant, but its location has been varied. The localized heating and cooling induces two boundary layers that collide in the region between the window and heater.
The time averaged equations for momentum, energy and continuity, which are coupled to the turbulence equations, were solved using a finite difference method. The vorticity-vector potential formulation has been used incorporating a low-Reynolds-number k-ε model. A new formulation of the method of false transient is used for the solution of the coupled, nonlinear partial differential equations. The procedure involves using different false transient factors in different flow regions. It has been found that the room is stratified into three regions: a cold upper region, a hot region in the area between the heater and window and a warm lower region.

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