Unsteady Nonuniform Flow in the Entrance of a Pipe

[+] Author and Article Information
F. Noblesse, C. Farell

Institute of Hydraulic Research, The University of Iowa, Iowa City, Iowa

J. Appl. Mech 40(3), 672-678 (Sep 01, 1973) (7 pages) doi:10.1115/1.3423071 History: Received July 01, 1972; Online July 12, 2010


The laminar incompressible flow started from rest in the entrance of a pipe is analyzed using the integral form of the equations of continuity, momentum, and energy, together with a similarity hypothesis for the velocity profiles across the boundary layer. A first-order partial-differential equation for the growth of the boundary-layer thickness is obtained and solved by the method of characteristics. The flow is shown to depend critically on a dimensionless parameter which can be interpreted as the ratio of a characteristic time of the variation of the discharge to a time characteristic of the diffusion of viscous effects.

Copyright © 1973 by ASME
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