Document Detail


Stability of Plane Poiseuille Flow to Periodic Disturbances of Finite Amplitude, III.
MedLine Citation:
PMID:  16591935     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The stability of plane Poiseuille flow to periodic disturbances of finite amplitude was reinvestigated by the use of 55 harmonics instead of five in the Orr-Sommerfeld expansion, but all the (20) overtones in each harmonic were dropped. The fundamental mode was chosen as the one of lowest phase velocity c(r), so as to enhance the wall effects. The neutral curve obtained gives values of the critical amplitude lambda(c) that are considerably higher than in the previous calculation. Near the critical Reynolds number, the neutral curve approaches the values derived previously by an analytical method.
Authors:
C L Pekeris; B Shkoller
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Proceedings of the National Academy of Sciences of the United States of America     Volume:  68     ISSN:  0027-8424     ISO Abbreviation:  Proc. Natl. Acad. Sci. U.S.A.     Publication Date:  1971 Jul 
Date Detail:
Created Date:  2010-06-29     Completed Date:  2010-06-29     Revised Date:  2010-09-15    
Medline Journal Info:
Nlm Unique ID:  7505876     Medline TA:  Proc Natl Acad Sci U S A     Country:  United States    
Other Details:
Languages:  eng     Pagination:  1434-5     Citation Subset:  -    
Affiliation:
Department of Applied Mathematics, The Weizmann Institute, Rehovot, Israel.
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