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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(1):14-21; doi:10.1093/qjmam/12.1.14
© 1959 by Oxford University Press
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HEAT TRANSFER BY LAMINAR FLOW FROM A ROTATING DISK AT LARGE PRANDTL NUMBERS

D. R. DAVIES

( (University of Sheffield) )

In this paper the approximate method of calculating the distribution of rate of heat transfer by laminar flow from a flat plate, described recently by Davies and Bourne, is extended to the problem of a heated rotating disk for an arbitrary radial distribution of surface temperature on the disk. The analysis is applicable if the temperature boundary layer is embedded well within the velocity boundary layer over the disk. By comparing the ensuing numerical results for heat transfer with those calculated from an exact solution, by Millsaps and Pohlhausen in the special case of constant surface temperature, we find that very good accuracy is obtained when the Prandtl number is greater than about 6.


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