Approximation of Turbulent Wall Shear Stresses in Highly Transient Pipe Flows
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VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 133, Issue 11
Abstract
Theoretical predictions of wall shear stresses in unsteady turbulent flows in pipes are developed for all flow conditions from fully smooth to fully rough and for Reynolds numbers from to . A weighting function approach is used, based on a two-region viscosity distribution in the pipe cross section that is consistent with the Colebrook–White expression for steady-state wall friction. The basic model is developed in an analytical form and the resulting weighting function is then approximated as a sum of exponentials using a modified form of an approximation due to Trikha. A straightforward method is presented for the determination of appropriate values of coefficients for any particular Reynolds number and pipe roughness ratio. The end result is a method that can be used relatively easily by analysts seeking to model unsteady flows in pipes and ducts.
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Published In
Journal of Hydraulic Engineering
Volume 133 • Issue 11 • November 2007
Pages: 1219 - 1228
Copyright
© 2007 ASCE.
History
Received: Feb 27, 2006
Accepted: Feb 9, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007
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