Abstract
The problems of thermal boundary-layer growth and heat transfer, for hydrodynamically fully developed turbulent flow in concentric annuli, are investigated by means of the momentum and heat-transfer integral equations, along with a modified universal velocity profile. The investigation was conducted for a range of radius ratios from 1·01 to 5, Prandtl numbers from 0·01 to 30 and a Reynolds number range of from 10000 to 200000. The results reveal that in general the heat-transfer coefficient attains the fully developed value in less than thirty equivalent diameters; also that the entrance length is moderately dependent upon radius ratio. There is good agreement between the present analysis and existing experimental data for the fully developed temperature profile regions.
Published Version
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