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Technical Briefs

Heat Transfer From a Rotating Disk to Fluids for a Wide Range of Prandtl Numbers Using the Asymptotic Model

[+] Author and Article Information
M. M. Awad

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, A1B 3X5, Canadaawad@engr.mun.ca

J. Heat Transfer 130(1), 014505 (Jan 30, 2008) (4 pages) doi:10.1115/1.2780185 History: Received February 12, 2007; Revised July 16, 2007; Published January 30, 2008

A simple method for calculating heat transfer from a rotating disk to fluids for a wide range of Prandtl numbers using asymptotic analysis is presented. Nusselt numbers for a heated rotating disk for different Prandtl numbers is expressed in terms of the asymptotic Nusselt numbers corresponding to a very small value of Prandtl numbers and Nusselt numbers corresponding to a very large value of Prandtl numbers. The proposed model uses a concave downward asymptotic correlation method to develop a robust compact model. Using the methods discussed by Churchill and Usagi (1972, “General Expression for the Correlation of Rates of Transfer and Other Phenomena  ,” AIChE J., 18(6), pp. 1121–1128), the fitting parameter in the proposed model can be determined at Prandtl numbers corresponding to the intersection of the two asymptotes.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Nusselt numbers for a heated rotating disk for different prandtl numbers (19)

Grahic Jump Location
Figure 2

Nusselt numbers for a heated rotating disk for different prandtl numbers using the asymptotic model

Grahic Jump Location
Figure 3

Data comparison for an isothermal disk

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