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NATURAL CONVECTIVE HEAT TRANSFER FROM A VERTICAL ISOTHERMAL HIGH ASPECT RATIO RECTANGULAR CYLINDER WITH AN EXPOSED UPPER SURFACE MOUNTED ON A FLAT ADIABATIC BASE

DOI: 10.1615/ICHMT.2012.CHT-12.860
pages 1425-1441

Patrick H. Oosthuizen
Department of Mechanical and Materials Engineering, Queen's University, 130 Stuart Street, Kingston, ON, K7L 3N6, Canada

Abdulrahim Kalendar
Mechanical Power and Refrigeration Department, College of Technological Studies, PAAET; College of Tech. Studies, Public Authority for Applied Education and Training, Shuwaikh-24758, Kuwait

Almounir Alkhazmi
Dept. of Mechanical and Materials Engg., Queen's University, Kingston, ON Canada K7L 3N6

Аннотация

Some electrical component cooling problems can be approximately modeled as involving natural convective heat transfer from a vertical isothermal cylinder with a rectangular cross-section mounted on a flat horizontal adiabatic base plate. The cylinder may be pointing vertically upwards or vertically downwards. The heat transfer from the surface of the cylinder for this situation has been numerically and experimentally investigated here. Because of the applications being considered, the length-to-width ratios of the rectangular cross-section of the cylinders considered are relatively large. The cylinder is mounted on a flat horizontal adiabatic base plate and both the case where the cylinder points vertically upwards and where it points vertically downwards have been considered. In the numerical study the flow has been assumed to be steady and it has been assumed that the fluid properties are constant except for the density change with temperature which gives rise to the buoyancy forces, this having been treated by using the Boussinesq approach. The solution has been obtained by numerically solving the three-dimensional governing equations using the commercial CFD code FLUENT© . Because of the applications that motivated this study, results have been obtained only for a Prandtl number of 0.74, i.e. essentially the value for air. A relatively wide range of the other governing parameters has been considered. A supporting experimental study has also been undertaken. In this study solid aluminum cylinders were used and the mean heat transfer rate from the cylinder was determined using the transient method in which the heat transfer rate is deduced from the rate at which a uniformly preheated cylinder cools. Experimental results were also obtained for the case where the cylinder points vertically upward and where it points vertically downward. Good agreement between the experimental and numerical results was obtained.

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