Fully Developed Laminar Flow in a Stepped Rectangular Channel

[+] Author and Article Information
R. H. Djojodihardjo

Department of Naval Architecture and Marine Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

J. F. Thorpe

Department of Mechanical Engineering, University of Kentucky, Lexington, Ky.

J. Appl. Mech 33(2), 438-440 (Jun 01, 1966) (3 pages) doi:10.1115/1.3625062 History: Received October 30, 1964; Revised June 29, 1965; Online September 15, 2011


The problem considered is that of fully developed, laminar incompressible flow in a stepped rectangular channel. An analytical solution is obtained for the velocity profile by using the variational method. Velocity profiles are computed for a specific case by truncating the series expressions and evaluating the coefficients numerically (Rayleigh-Ritz method). These velocity profiles are compared to those obtained by solving a set of finite difference equations. The solution of the problem provides information for the velocity at a step discontinuity in width between parallel plates and permits an evaluation of one-dimensional methods of attacking the same problem.

Copyright © 1966 by ASME
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