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
Resource Information
The item Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.This item is available to borrow from all library branches.
Resource Information
The item Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.
This item is available to borrow from all library branches.
- 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)
- Language
- eng
- Extent
- 1 online resource (184 pages
- 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
- 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
- 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
- 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
- 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
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.archive.org/portal/Tables-of-eigenvalues-and-eigenfunctions-of-the/EBmCtiO-vR8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/Tables-of-eigenvalues-and-eigenfunctions-of-the/EBmCtiO-vR8/">Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.archive.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.archive.org/">Internet Archive - Open Library</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.archive.org/portal/Tables-of-eigenvalues-and-eigenfunctions-of-the/EBmCtiO-vR8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/Tables-of-eigenvalues-and-eigenfunctions-of-the/EBmCtiO-vR8/">Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows, by T.H. Gawain and W.H. Clark</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.archive.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.archive.org/">Internet Archive - Open Library</a></span></span></span></span></div>
