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.
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e-mail: tmin@eddy.snu.ac.kr
e-mail: jyyoo@plaza.snu.ac.kr
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Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe With Uniform Wall Heat Flux: The Graetz Problem Extended
T. Min,
T. Min
Department of Mechanical Engineering, Seoul National University, Seoul 115 742, Korea
e-mail: tmin@eddy.snu.ac.kr
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J. Y. Yoo
J. Y. Yoo
Department of Mechanical Engineering, Seoul National University, Seoul 115 742, Korea
e-mail: jyyoo@plaza.snu.ac.kr
Search for other works by this author on:
T. Min
Department of Mechanical Engineering, Seoul National University, Seoul 115 742, Korea
e-mail: tmin@eddy.snu.ac.kr
J. Y. Yoo
Department of Mechanical Engineering, Seoul National University, Seoul 115 742, Korea
e-mail: jyyoo@plaza.snu.ac.kr
J. Heat Transfer. Aug 1999, 121(3): 556-563 (8 pages)
Published Online: August 1, 1999
Article history
Received:
June 11, 1997
Revised:
February 10, 1999
Online:
December 5, 2007
Citation
Min, T., and Yoo, J. Y. (August 1, 1999). "Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe With Uniform Wall Heat Flux: The Graetz Problem Extended." ASME. J. Heat Transfer. August 1999; 121(3): 556–563. https://doi.org/10.1115/1.2826016
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