The Resource Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark

Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark

Label
Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows
Title
Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows
Statement of responsibility
by T.H. Gawain and W.H. Clark
Creator
Contributor
Subject
Genre
Language
eng
Summary
In the report the authors present a numerical technique for computing the eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for infinitesimal disturbances in plane Poiseuille flows. For the case alpha = 1.0, Rsube = 6667 the eigenvalues, beta sub Nm, (n = 1,2,3,4 m = 1,2,...199) and eigenfunctions, phi sub nm(y), (n = 1,2,3,4 m = 1,2,...8) are presented in tabular and graphical form. In addition the function, chi sub nm(y), which is orthogonal to phi sub nm(y), over the interval -1 or - y or - plus or minus 1 is tabulated. In a previous report (Gawain and Clark)1971) it was shown that these eigenfunctions can be extremely useful in describing certain aspects of the nonlinear mechanics of wave disturbances in plane Poiseuille flows. It is hoped that the present report will serve both as a complement to the previously mentioned report and as a useful reference for similar future investigations. (Author)
Cataloging source
AD#
http://library.link/vocab/creatorName
Gawain, Theodore Henry
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • Clark, W. H
  • Naval Postgraduate School (U.S.)
http://library.link/vocab/subjectName
  • Fluid dynamics
  • Stability
  • FORTRAN (Computer program language)
  • Eigenvalues
  • Eigenvectors
Type of report
Technical report; 1971.
Label
Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark
Link
Instantiates
Publication
Note
  • Title from cover
  • "10 September 1971"--Cover
  • "NPS-57GN71092A"--Cover
  • DTIC Identifiers: Numerical integration, Orr-Sommerfeld equation, FORTRAN, FORTRAN 4 programming language, eigenvalues, eigenvectors
  • Author(s) key words: Hydrodynamic stability, finite-differences, plane Poiseuille flow
Bibliography note
Includes bibliographical references (p. 18)
Color
black and white
Dimensions
unknown
Extent
1 online resource (184 pages
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote
Label
Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark
Link
Publication
Note
  • Title from cover
  • "10 September 1971"--Cover
  • "NPS-57GN71092A"--Cover
  • DTIC Identifiers: Numerical integration, Orr-Sommerfeld equation, FORTRAN, FORTRAN 4 programming language, eigenvalues, eigenvectors
  • Author(s) key words: Hydrodynamic stability, finite-differences, plane Poiseuille flow
Bibliography note
Includes bibliographical references (p. 18)
Color
black and white
Dimensions
unknown
Extent
1 online resource (184 pages
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote

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