Stability of a viscoelastic Burgers flow

D. Glenn Lasseigne; W. E. Olmstead

doi:10.1137/0150022

Stability of a viscoelastic Burgers flow

D. Glenn Lasseigne^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The system of equations proposed by J.M. Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.

Original language	English (US)
Pages (from-to)	352-360
Number of pages	9
Journal	SIAM Journal on Applied Mathematics
Volume	50
Issue number	2
DOIs	https://doi.org/10.1137/0150022
State	Published - 1990

ASJC Scopus subject areas

Applied Mathematics

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title = "Stability of a viscoelastic Burgers flow",

abstract = "The system of equations proposed by J.M. Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.",

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year = "1990",

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AU - Lasseigne, D. Glenn

AU - Olmstead, W. E.

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AB - The system of equations proposed by J.M. Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.

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Stability of a viscoelastic Burgers flow

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