An Exact Solution for the Flow of Temperature-Dependent Viscous Fluids in Heated Rectangular Ducts

[+] Author and Article Information
H. W. Butler, D. E. McKee

West Virginia University, Morgantown, W. Va.

J. Heat Transfer 95(4), 555-557 (Nov 01, 1973) (3 pages) doi:10.1115/1.3450113 History: Received April 18, 1973; Online August 11, 2010


An exact solution has been developed for the fully-developed flow of fluids having temperature-dependent viscosity and thermal conductivity in rectangular ducts with transverse heat conduction. The problem is uniquely defined in terms of four parameters: the height-to-width ratio, E, the product of the friction factor and the Reynold’s number, f·Re, the temperature ratio across the duct, T2 /T1 , and the exponent of the viscosity dependence on temperature. The results indicate that significant departures from the isothermal case may obtain for heated flows.

Copyright © 1973 by ASME
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