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Structure of the transient wall-friction law in one-dimensional models of laminar pipe flows

Published online by Cambridge University Press:  20 April 2006

J. L. Achard  and
G. M. Lespinard
J. L. Achard
Affiliation:
Institut de Méanique do Grenoble, B.P. 53 X, 38041, Grenoble Cedex
G. M. Lespinard
Affiliation:
Institut de Méanique do Grenoble, B.P. 53 X, 38041, Grenoble Cedex
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Abstract

The problem of describing an unsteady cylindrical pipe flow with one-dimensional equations is investigated, and an exact method for obtaining a closure relationship is proposed for the transient shear stress in a laminar flow submitted to an arbitrary transient pressure gradient. Extensive comparisons are given for a step or a harmonic pressure gradient between the approximate solution derived from this method, some results of the literature and exact solutions of the Navier–Stokes equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 113 , December 1981 , pp. 283 - 298
Copyright
© 1981 Cambridge University Press

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