Spatial stability of non-steady Stokes flow along a pipe

R. J. Knops, C. Lupoli

Research output: Contribution to journalArticle

Abstract

Estimates for the growth and decay of the cross-section total energy flux in the form of exponential lower and upper bounds are obtained for non-steady Stokes flow in a semi-infinite three-dimensional pipe of uniform star-shaped cross-section. The method depends upon the derivation and integration of a first-order differential inequality. © 2010 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1387-1400
Number of pages14
JournalInternational Journal of Engineering Science
Volume48
Issue number11
DOIs
Publication statusPublished - Nov 2010

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pipe
cross section
energy flux
method

Keywords

  • Growth and decay estimates
  • Semi-infinite three-dimensional pipe
  • Unsteady Stokes flow

Cite this

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Spatial stability of non-steady Stokes flow along a pipe. / Knops, R. J.; Lupoli, C.

In: International Journal of Engineering Science, Vol. 48, No. 11, 11.2010, p. 1387-1400.

Research output: Contribution to journalArticle

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AU - Knops, R. J.

AU - Lupoli, C.

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N2 - Estimates for the growth and decay of the cross-section total energy flux in the form of exponential lower and upper bounds are obtained for non-steady Stokes flow in a semi-infinite three-dimensional pipe of uniform star-shaped cross-section. The method depends upon the derivation and integration of a first-order differential inequality. © 2010 Elsevier Ltd. All rights reserved.

AB - Estimates for the growth and decay of the cross-section total energy flux in the form of exponential lower and upper bounds are obtained for non-steady Stokes flow in a semi-infinite three-dimensional pipe of uniform star-shaped cross-section. The method depends upon the derivation and integration of a first-order differential inequality. © 2010 Elsevier Ltd. All rights reserved.

KW - Growth and decay estimates

KW - Semi-infinite three-dimensional pipe

KW - Unsteady Stokes flow

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JF - International Journal of Engineering Science

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