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International Heat Transfer Conference 4

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

NATURAL CONVECTION ABOUT A SPHERE AT LOW GRASHOF NUMBER

Md. Anwar Hossain
Assistant Professor of Mechanical Engineering, Engineering University, Dacca, East Pakistan

Benjamin Gebhart
Upson Hall, Cornell University; State University of New York at Buffalo, Buffalo, New York 14214

DOI: 10.1615/IHTC4.3370
pages 1-12

Abstract

Laminar natural convection flow and heat transfer about an isothermal sphere is analysed for the Grashof number range between zero and unity and for Prandtl number around unity, by means of an asymptotic expansion technique. Solutions to the governing differential equations are expressed in a series with the Grashof number taken as the expansion parameter. Three terms in the expansion for the temperature and for the stream function have been determined analytically and the results are presented and discussed. Unexpected vortex regions, are found. The reasons for difficulties in applying direct perturbation and matched expansions are also, in short, discussed.

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