Unified Approach to the Solution of Problems of Unsteady Laminar Flow in Long Pipes

[+] Author and Article Information
M. F. Letelier S.

Departamento de Ingeniería Mecánica, Universidad de Santiago de Chile, Casilla 10233, Santiago, Chile

H. J. Leutheusser

Department of Mechanical Engineering, University of Toronto, Toronto, Ontario, M5S 1A4, Canada

J. Appl. Mech 50(1), 8-12 (Mar 01, 1983) (5 pages) doi:10.1115/1.3167023 History: Received July 01, 1981; Revised June 01, 1982; Online July 21, 2009


The paper presents a unified approach to the solution of laminar pipe-flow transients in which the forcing function may depend on the motion itself. The key to the solution procedure is a power series expansion of the local velocity in terms of radial position, involving a single time-dependent coefficient. The method of analysis is applied to the solution of two particular cases of transients, namely flow establishment, without and with inflow, respectively. It is found to yield results that are in excellent agreement with other known analytical solutions and experimental observations.

Copyright © 1983 by ASME
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