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Flow in heated curved pipes

Published online by Cambridge University Press:  19 April 2006

Lun-Shin Yao  and
Stanley A. Berger
Lun-Shin Yao
Affiliation:
The Rand Corporation, 1700 Main Street, Santa Monica, California 90406 Present address: Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois.
Stanley A. Berger
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
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Abstract

The fully developed laminar flow in a heated curved pipe under the influence of both centrifugal and buoyancy forces is studied analytically. The pipe is assumed to be heated so as to maintain a constant axial temperature gradient. Both horizontal and vertical pipes are considered. Solutions for these two cases are obtained by regular perturbations in the Dean number and the product of the Reynolds and Rayleigh numbers; the solutions are therefore limited to small values of these parameters. Predictions of the axial and secondary flow velocities, streamlines, shear stress, temperature distribution and heat transfer are given for a representative case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 2 , 27 September 1978 , pp. 339 - 354
Copyright
© 1978 Cambridge University Press

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