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TECHNICAL BRIEFS

Sources of Error in Eigenvalue Spectra for Pipe-Poiseuille Flows

[+] Author and Article Information
A. H. Abbot, E. A. Moss

School of Mechanical Engineering, University of the Witwatersrand, Johannesburg, Johannesburg, South Africa

J. Fluids Eng 118(2), 414-416 (Jun 01, 1996) (3 pages) doi:10.1115/1.2817396 History: Received September 17, 1994; Revised August 23, 1995; Online December 04, 2007

Abstract

An operational Chebyshev Tau approach was used to establish temporal eigenvalue stability spectra for pipe-Poiseuille flows, using the Sexl equation which was transformed to remove the singularity at the origin. Substantial deviations were noted between the long-standing results of Davey and Drazin (1969) which are scattered and display branching patterns, and those of the present work which manifest a more orderly progression of the stable high-order eigenvalues. Formal distinctions are made between errors arising from round-off, basis truncation, and poor choice of basis function: the inaccuracies in Davey and Drazin’s data are thought to have arisen from the latter two effects.

Copyright © 1996 by The American Society of Mechanical Engineers
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