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Mixed convection from a sphere at small Reynolds and Grashof numbers

Published online by Cambridge University Press:  29 March 2006

C. A. Hieber  and
B. Gebhart
C. A. Hieber
Affiliation:
Department of Thermal Engineering, Cornell University
B. Gebhart
Affiliation:
Department of Thermal Engineering, Cornell University
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Abstract

Consideration is given to the effects of gravity which arise when a heated sphere, maintained at a steady uniform temperature, is located in a vertical uniform stream. Restricting analysis to a medium of unit Prandtl number (σ), the method of matched asymptotic expansions is employed in obtaining solutions for the velocity, temperature and pressure fields in the limit: G = o(R2), R ↓ 0 (G and R being, respectively, the Grashof and Reynolds numbers). Based on these results, conjectures are formed about the corresponding pure natural convection problem.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 1 , 14 August 1969 , pp. 137 - 159
Copyright
© 1969 Cambridge University Press

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References

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