Laminar Incompressible Flow in the Entrance Region of Ducts of Arbitrary Cross Section

[+] Author and Article Information
James A. Miller

Department of Aeronautics, Naval Postgraduate School, Monterey, Calif.

J. Eng. Power 93(1), 113-117 (Jan 01, 1971) (5 pages) doi:10.1115/1.3445373 History: Received January 30, 1970; Online July 14, 2010


A combination of the numerical technique of Chorin for the solution of the Navier-Stokes equations and a transformation of the initial value problem to a boundary value problem is shown to allow calculation of the laminar hydrodynamic entrance region of ducts of arbitrary cross section. Numerical examples consisting of the solution for ducts of square and triangular cross sections are presented along with the associated friction factors.

Copyright © 1971 by ASME
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