Viscous Thin-Film Flow Over a Round-Crested Weir-Reference-Cited by-同舟云学术

Viscous Thin-Film Flow Over a Round-Crested Weir

Published:1999-09-01 Issue:3 Volume:121 Page:673-677
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Ruschak Kenneth J.¹,Weinstein Steven J.¹

Affiliation:

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

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.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/121/3/673/5725662/673_1.pdf

Reference13 articles.

1. Ackers, P., White, W. R., Perkins, J. A., and Harrison, A. J. M., 1978, Weirs and Flumes for Flow Measurement, Wiley, New York.

2. Brater, E. F., King, H. W., Lindell, J. E., and Wei, C. Y., 1996, Handbook of Hydraulics, 7th ed., McGraw-Hill, New York.

3. Dressler R. F. , 1949, “Mathematical Solution of the Problem of Roll-Waves in Inclined Open Channels,” Communications on Pure and Applied Mathematics, Vol. 2, pp. 149–194.

4. Finnicum D. S. , WeinsteinS. J., and RuschakK. J., 1993, Journal of Fluid Mechanics, Vol. 255, pp. 647–665.

5. Fox, R. W., and McDonald, A. T., 1992, Introduction to Fluid Mechanics, 4th ed., Wiley, New York, pp. 519–521.

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