On Heat Transfer From Isothermal and Nonisothermal Spinning Bodies of Revolution

[+] Author and Article Information
A. A. Hayday

Theoretical Fluid Mechanics, University of Alabama Research Institute; University of Alabama, Huntsville, Ala.

J. Heat Transfer 87(4), 445-452 (Nov 01, 1965) (8 pages) doi:10.1115/1.3689136 History: Received September 24, 1964


The class of similar flows engendered by bodies of revolution rotating uniformly about axes of symmetry in an otherwise undisturbed fluid is studied. Local heat transfer by forced convection is determined theoretically for laminar flows under both isothermal and nonisothermal surface conditions. It is shown that the known solutions for rotating disks and cones are special cases which fall within the scope of this analysis. The flows are in general characterized by continuously thinning boundary layers formed along the body surface. Criteria which determine such boundary-layer behavior are related to the similarity transformations and also to the rates of change of cross-sectional areas of the bodies in question. The thinning boundary layers imply higher local friction and moment coefficients than those found for comparable cones. The same is true for local Nusselt numbers. Estimates of the region of validity of the results are given, and the results are tabulated for several Prandtl numbers. The role of free convection is discussed briefly.

Copyright © 1965 by ASME
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