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A Unified Instability Region for the Extended Taylor–Goldstein Problem of Hydrodynamic Stability

Part of: Hydrodynamic stability

Published online by Cambridge University Press:  28 November 2017

S. Sridevi ,
Huashu Dou  and
V. Ganesh
S. Sridevi*
Affiliation:
Research and Development Centre, Bharathiyar University, Coimbatore–641046, India Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Kirumampakkam, Puducherry-607402, India
Huashu Dou*
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
V. Ganesh
Affiliation:
Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Kirumampakkam, Puducherry-607402, India
*
*Corresponding author. Email:jaysridevi@yahoo.co.in (S. Sridevi), huashudou@yahoo.com (H. S. Dou)
*Corresponding author. Email:jaysridevi@yahoo.co.in (S. Sridevi), huashudou@yahoo.com (H. S. Dou)
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Abstract

We consider inviscid, incompressible shear flows with variable density and variable cross section. For this problem, we derived a new estimate for the growth rate of an unstable mode and a parabolic instability region which intersects semiellipse instability region under some condition.

Keywords

Hydrodynamic stabilityshear flowsvariable bottomsea straits

MSC classification

Secondary: 76E05: Parallel shear flows
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 6 , December 2017 , pp. 1404 - 1419
Copyright
Copyright © Global-Science Press 2017 

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References

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