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

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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.

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