Unsteady Heat Transfer and Temperature for Stokesian Flow about a Sphere

[+] Author and Article Information
N. Konopliv, E. M. Sparrow

Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minn.

J. Heat Transfer 94(3), 266-272 (Aug 01, 1972) (7 pages) doi:10.1115/1.3449926 History: Received December 02, 1970; Online August 11, 2010


An analysis is made of the unsteady thermal processes which result when a moving sphere encounters a fluid environment whose initial temperature is different from that of the sphere. The fluid velocity field is steady and Stokesian, and the temperature field is of the boundary-layer type. Two related physical situations are analyzed. In one of these, the sphere is a solid of high thermal conductance such that its temperature is spatially uniform, but varies with time as a result of heat transfer with the fluid. In the other, the sphere heat capacity and conductance are both large so that its surface temperature is spatially and temporally uniform for a finite period of time. A number of solution methods is employed, including numerical inversion of integral transforms, series, and asymptotic expansions. Results are presented both in graphical and algebraic form for the local and overall heat-transfer rates, for the temperature history, and and for the time required to reach thermal equilibrium.

Copyright © 1972 by ASME
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