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RESEARCH PAPERS

Heat Transfer to a Nonisothermal Rotating Disk With a Turbulent Boundary Layer

[+] Author and Article Information
J. P. Hartnett, Shing-Hwa Tsai

Mechanical Engineering Department, University of Delaware, Newark, Del.

H. N. Jantscher

University of Minnesota, Minneapolis, Minn.

J. Heat Transfer 87(3), 362-368 (Aug 01, 1965) (7 pages) doi:10.1115/1.3689117 History: Received September 21, 1964

Abstract

Three approaches are presented for the prediction of heat transfer from a nonisothermal disk rotating in a fluid of infinite extent at such high speeds that the induced flow is turbulent. These include the analysis of Dorfman, the analysis of Davies (extended to nonisothermal conditions) assuming the eddy diffusivity of radial momentum is equal to the eddy diffusivity of heat, and a modified Davies analysis assuming the eddy diffusivity of tangential momentum is equal to the eddy diffusivity of heat. A comparison of these three predictions with available heat and mass transfer data suggests that Dorfman’s analysis when appropriately modified gives the best representation for the isothermal rotating disk. For the nonisothermal disk having a power-function wall-temperature distribution, Tw − Te = Brm , both the Dorfman analysis and the tangential momentum analogy give what appears to be a reasonable estimate of the influence of the nonisothermal condition, while the radial momentum analogy overestimates the influence. Until additional data are obtained, it is recommended that the modified Dorfman prediction be used to estimate heat transfer from a nonisothermal disk in the presence of turbulent flow.

Copyright © 1965 by ASME
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