RESEARCH PAPERS: Forced Convection

Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe With Uniform Wall Heat Flux: The Graetz Problem Extended

[+] Author and Article Information
T. Min, J. Y. Yoo

Department of Mechanical Engineering, Seoul National University, Seoul 115 742, Korea

J. Heat Transfer 121(3), 556-563 (Aug 01, 1999) (8 pages) doi:10.1115/1.2826016 History: Received June 11, 1997; Revised February 10, 1999; Online December 05, 2007


Thermally developing laminar flow of a Bingham plastic in a circular pipe with uniform wall heat flux has been studied analytically. Expressions for the fully developed temperature and Nusselt number are presented in terms of the yield stress, Peclet number, and Brinkman number. The solution to the Graetz problem has been obtained by using the method of separation of variables, where the resulting eigenvalue problem is solved approximately by using the method of weighted residuals. The effects of the yield stress, Peclet, and Brinkman numbers on the Nusselt number are discussed. In particular, it is shown that the heat transfer characteristics in the entrance region are significantly affected by the yield stress with the inclusion of viscous dissipation.

Copyright © 1999 by The American Society of Mechanical Engineers
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