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Flow in pipes with non-uniform curvature and torsion

Published online by Cambridge University Press:  22 June 2001

DAVID GAMMACK  and
PETER E. HYDON
DAVID GAMMACK
Affiliation:
Dept. of Mathematics and Statistics, University of Surrey, Guildford, GU2 7XH, UK
PETER E. HYDON
Affiliation:
Dept. of Mathematics and Statistics, University of Surrey, Guildford, GU2 7XH, UK
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Abstract

This paper describes steady and unsteady flows in pipes with small, slowly varying curvature and torsion. Four new pipe shapes are studied, using Germano's extension of the Dean equations. Analytic and numerical solutions are obtained for flows driven by a steady pressure gradient. Oscillatory flows in pipes with non-uniform curvature are obtained by numerical methods. The effects of the non-uniformities in curvature and torsion are discussed, with particular reference to wall shear stress.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 433 , 25 April 2001 , pp. 357 - 382
Copyright
© 2001 Cambridge University Press

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