On the Long Wave Stability of Shear Flows in Sea Straits of Arbitrary Cross Section

On the Long Wave Stability of Shear Flows in Sea Straits of Arbitrary Cross Section We consider an eigen value problem of hydrodynamic stability which deals with inviscid, incompressible, density stratified shear flows of variable topography. In this paper, we obtained a condition for long wave stability i.e., if the wave number k is less than or equal to critical wave number $$k_{c}$$ k c which is greater than zero then the flow is stable. This result is illustrated with examples. An instability region which depends on various parameters is derived for an unstable mode and an estimate for the growth rate of an unstable mode is also obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Applied and Computational Mathematics Springer Journals

On the Long Wave Stability of Shear Flows in Sea Straits of Arbitrary Cross Section

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Publisher
Springer India
Copyright
Copyright © 2017 by Springer (India) Private Ltd., part of Springer Nature
Subject
Mathematics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Operations Research/Decision Theory; Theoretical, Mathematical and Computational Physics; Computational Science and Engineering; Nuclear Energy
ISSN
2349-5103
eISSN
2199-5796
D.O.I.
10.1007/s40819-017-0439-9
Publisher site
See Article on Publisher Site

Abstract

We consider an eigen value problem of hydrodynamic stability which deals with inviscid, incompressible, density stratified shear flows of variable topography. In this paper, we obtained a condition for long wave stability i.e., if the wave number k is less than or equal to critical wave number $$k_{c}$$ k c which is greater than zero then the flow is stable. This result is illustrated with examples. An instability region which depends on various parameters is derived for an unstable mode and an estimate for the growth rate of an unstable mode is also obtained.

Journal

International Journal of Applied and Computational MathematicsSpringer Journals

Published: Nov 29, 2017

References

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