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Published in:
2004 | OriginalPaper | Chapter
Analytical Solutions for Sturm — Liouville Systems with Large Eigenvalues
Author : Professor Dr.-Ing. Bernhard Weigand
Published in: Analytical Methods for Heat Transfer and Fluid Flow Problems
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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The numerical method for obtaining the eigenvalues and eigenfunctions of Eq. (3.25) is explained in Chap. 3 and Appendix C. This numerical procedure gets cumbersome and difficult if the eigenvalues become large, because of the increasing number of zero points of the eigenfunction. This is elucidated in Fig. 4.1, which shows several eigenfunctions for a turbulent pipe flow with constant wall temperature. Fig. 4.1Eigenfunctions for a turbulent pipe flow with constant wall temperature (Re D = 10000, Pr = 0.01)