A program for the stability analysis of pipe Poiseuille flow.
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Authors
Johnston, Richard Howard, III
Subjects
Poiseuille flow
Stability of fluid flow
Stability of fluid flow
Advisors
Gawain, T.H.
Date of Issue
1976-03
Date
March 1976
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Recent research by Harrison on the stability of parallel flows resulted in a successful solution
of plane Poiseuille flow but produced unexplained anomalies for pipe flow. The purpose of the research in this paper was to find and correct errors in Harrison's initial analysis of the pipe flow problem. A minor error in Harrison's numerical method was corrected. MoreĀover, it proved necessary to reanalyze the conditions on the axis of symmetry of the pipe. These changes finally made it possible to obtain reasonable results.
Owing to time limitations, the number of solutions obtained using the corrected program was sufficient only to confirm its general validity. However, the results obtained are significant in
that they disclose instabilities which are known to exist but which have not been accounted for
in previous theoretical investigations.
Type
Thesis
Description
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.