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International Heat Transfer Conference 7

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

VISCOUS DISSIPATION EFFECTS ON HEAT TRANSFER FROM TURBULENT FLOW WITH HIGH PRANDTL NUMBER FLUIDS

Benjamin T. F. Chung
Department of Mech. Eng., University of Akron, Akron, Ohio, USA

Y. Pang
Bethlehem Steel, Inc., Bethlehem, Pennsylvania, USA

L. C. Thomas
University of Tennessee, Knoxville, Tennessee, USA

DOI: 10.1615/IHTC7.1770
pages 235-240

要約

A comprehensive surface renewal type model, namely, the surface rejuvenation model,is employed to determine the viscous dissipation effect on heat transfer from turbulent flow with high Prandtl number fluids. In this work, the probability distributions for the stochastic variables which include the approach distance, the contact time, the residence time, and the initial temperature profile of the incoming eddies near the wall region are utilized. The Nusselt number, recovery factor, and temperature profile are obtained in integral forms which are then solved numerically. The ratio of Nusselt numbers in the presence of viscous effect to that in the absence of dissipation is presented in terms of Brinkman number, Prandtl number and Reynolds number for both cases of wall heating and cooling. Comparisons of the predicted recovery factor for turbulent pipe flow are also made based on the present model, previous eddy diffusivity models and the elementary surface renewal model for a wide range of Prandtl number.

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