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Old Dominion University

1990

Bifurcation

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Full-Text Articles in Physical Sciences and Mathematics

Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead Apr 1990

Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead

Mathematics & Statistics Faculty Publications

The system of equations proposed by 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.