Abo Bibliothek: Guest

ISSN Online: 2377-424X

International Heat Transfer Conference 4
August 31 - September 5, 1970, Paris-Versailles, France

NATURAL CONVECTION ABOUT A SPHERE AT LOW GRASHOF NUMBER

Get access (open in a dialog) DOI: 10.1615/IHTC4.3370
pages 1-12

Abstrakt

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.