Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T08:44:18.307Z Has data issue: false hasContentIssue false

Low Reynolds number heat transfer from a circular cylinder

Published online by Cambridge University Press:  28 March 2006

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

Abstract

Theoretical results are obtained for forced heat convection from a circular cylinder at low Reynolds numbers. Consideration is given to the cases of a moderate and a large Prandtl number, the analysis in each case being based upon the method of matched asymptotic expansions. Comparison between the moderate Prandtl number theory and known experimental results indicates excellent agreement; no relevant experimental work has been found for comparison with the large Prandtl number theory.

Type
Research Article
Copyright
© 1968 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cole, J. & Roshko, A. 1954 Heat transfer from wires at Reynolds numbers in the Oseen range. Proceedings of Heat Transfer and Fluid Mechanics Institute, 1323.Google Scholar
Collis, D. C. & Williams, M. J. 1959 Two dimensional convection from heated wires at low Reynolds numbers J. Fluid Mech. 6, 35784.Google Scholar
Illingworth, C. R. 1963 Flow at small Reynolds number; in Laminar Boundary Layers (ed. L. Rosenhead). Oxford: Clarendon Press.
Kaplun, S. 1957 Low Reynolds number flow past a circular cylinder J. Math. Mech. 6, 595603.Google Scholar
Kaplun, S. & Lagerstrom, P. A. 1957 Asymptotic expansions of Navier-Stokes solutions for small Reynolds numbers J. Math. Mech. 6, 58593.Google Scholar
Piret, E. L., James, W. & Stacy, M. 1947 Heat transfer from fine wires to water Indust. and Eng. Chem. 39, 10981103.Google Scholar
Proudman, J. & Pearson, J. R. A. 1957 Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder J. Fluid Mech. 2, 23762.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. New York: Academic Press.
Wood, W. W. 1968 Calculations for anemometry with fine hot wires J. Fluid Mech. 32, 9.Google Scholar