Small Reynolds Number Convection in Rotating Spherical Annuli

[+] Author and Article Information
R. W. Douglass

Department of Mechanical Engineering, University of Nebraska, Lincoln, Neb. 68588

E. J. Shaughnessy

Department of Mechanical Engineering and Materials Science, Duke University, Durham, N. C. 27706

B. R. Munson

Department of Engineering Science and Mechanics and the Engineering Research Institute, Iowa State University, Ames, Iowa 50011

J. Heat Transfer 101(3), 427-433 (Aug 01, 1979) (7 pages) doi:10.1115/1.3450996 History: Received November 29, 1979; Online August 11, 2010


A fourth order regular perturbation expansion in powers of the Reynolds number is used to investigate the steady convection of a stratified Boussinesq fluid in rotating spherical annuli. The results include the primary and secondary flow patterns, temperature distributions, total heat flux, and torque characteristics emphasizing their dependence on a wide range of radius and angular velocity ratios. Maximum usable Reynolds numbers were found and usually were larger than 10. The optimum configuration for convective heat transfer is a radius ratio of 0.35 and an angular velocity ratio of +1/3. This same configuration gives the largest torque as well.

Copyright © 1979 by ASME
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