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

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

Year:    2017

Author:    S. Sridevi, Huashu Dou, V. Ganesh

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1404–1419

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2016-0022

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1404–1419

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Hydrodynamic stability shear flows variable bottom sea straits.

Author Details

S. Sridevi

Huashu Dou

V. Ganesh

  1. On the Criterion for Long Wave Stability of Shear Flows

    Priya, K. Reena | Ganesh, V.

    International Journal of Applied and Computational Mathematics, Vol. 4 (2018), Iss. 6

    https://doi.org/10.1007/s40819-018-0581-z [Citations: 0]
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    https://doi.org/10.1007/s40819-017-0439-9 [Citations: 1]