Dissertation
Irrotational flow over weirs
University of Iowa
Doctor of Philosophy (PhD), State University of Iowa
Spring 1962
DOI: 10.17077/etd.005641
Abstract
The problem of two-dimensional, irrotational flow over a vertical sharp-crested weir is expressed, exactly, by an integral equation, derived with the aid of conformal mapping and singularity distribution. A numerical procedure for checking trial-and-error solutions of the equation is programmed in Fortran language for automatic calculation on a high-speed, electronic, digital computer -- either the IBM 704 or IBM 709.
The resulting approximate solutions are presented in the form of flow profiles and discharge coefficients for head-to-height ratios h/w = .18, 1.15, 2.11, 4.36, 10.30. Available experimental data for comparable geometries are plotted on the same graphs to indicate the effects of viscosity and surface tension, present in real flows.
Inaccuracies, infeasible to reduce by trial and error, are shown to be present in the final results. The basis of an iterative procedure for solving the integral equation for accurately and less tediously is proposed and partially developed.
Details
- Title: Subtitle
- Irrotational flow over weirs
- Creators
- Theodor Serafimovich Strelkoff
- Contributors
- Hunter Rouse (Advisor)L. Landweber (Advisor) - State University of Iowa (Iowa City)
- Resource Type
- Dissertation
- Degree Awarded
- Doctor of Philosophy (PhD), State University of Iowa
- Degree in
- Mechanics and Hydraulics
- Date degree season
- Spring 1962
- DOI
- 10.17077/etd.005641
- Publisher
- University of Iowa
- Number of pages
- viii, 42 pages
- Copyright
- No known copyright restrictions.
- Grants
- U.S. National Science Foundation (United States, Alexandria) - NSFOffice of Naval Research (United States, Arlington) - ONR
- Grant note
- The study was supported jointly by the National Science Foundation, the Office of Naval Research, under the contract Nonr-1611(03), the Iowa Institute of Hydraulic Research, and the Department of Irrigation of the University of California at Davis.
- Language
- English
- Description illustrations
- illustrations
- Description bibliographic
- Includes bibliographical references (pages 37-38).
- Academic Unit
- Thesis and Dissertation Archive; Mechanical Engineering
- Record Identifier
- 9984044099802771
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