Timescale Behavior of the Wall Shear Stress in Unsteady Laminar Pipe Flows
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 5
Abstract
Based on two-dimensional (2D) flow model simulations, the effects of the radial structure of the flow (e.g., the nonuniformity of the velocity profile) on the pipe wall shear stress, , are determined in terms of bulk parameters such as to allow improved 1D modeling of unsteady contribution of . An unsteady generalization, for both laminar and turbulent flows, of the quasi-stationary relationship between and the friction slope, , decomposes the additional unsteady contribution into an instantaneous energy dissipation term and an inertial term (that is, based on the local average acceleration-deceleration effects). The relative importance of these two effects is investigated in a transient laminar flow and an analysis of the range of applicability of this kind of approach of representing unsteady friction is presented. Finally, the relation between the additional inertial term and Boussinesq momentum coefficient, is clarified. Although laminar pipe flows are a special case in engineering practice, solutions in this flow regime can provide some insight into the behavior of the transient wall shear stress, and serve as a preliminary step to the solutions of unsteady turbulent pipe flows.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 5 • May 2009
Pages: 415 - 424
Copyright
© 2009 ASCE.
History
Received: Aug 16, 2007
Accepted: Oct 23, 2008
Published online: Feb 6, 2009
Published in print: May 2009
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