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RESEARCH PAPERS

Viscous Thin-Film Flow Over a Round-Crested Weir

[+] Author and Article Information
Kenneth J. Ruschak, Steven J. Weinstein

Manufacturing Research and Engineering Organization, Eastman Kodak Company, Rochester, NY 14652-3701

J. Fluids Eng 121(3), 673-677 (Sep 01, 1999) (5 pages) doi:10.1115/1.2823522 History: Received May 22, 1998; Revised May 31, 1999; Online December 04, 2007

Abstract

Gravity-driven flow over a round-crested weir is analyzed for viscous flow. An equation for the entire flow profile is obtained by simplifying the equations for slowly varying film thickness, assuming a velocity profile, and integrating across the film. Solution of the resulting first order, ordinary differential equation requires a boundary condition generated at a critical point of the flow, beyond which waves cannot propagate upstream. Results for the relationship between head and flow rate are consolidated on a dimensionless master curve represented by an empirical equation.

Copyright © 1999 by The American Society of Mechanical Engineers
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