Short wave stability of homogeneous shear flows with variable topography

DOU Hua-Shu;V. GANESH

doi:10.1007/s10483-014-1811-7

Applied Mathematics and Mechanics >

2014 , Vol. 35 >Issue 5: 541 - 548

DOI: https://doi.org/10.1007/s10483-014-1811-7

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Short wave stability of homogeneous shear flows with variable topography

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Faculty of Mechanical Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China

Received date: 2013-03-25

Revised date: 2013-11-13

Online published: 2014-05-01

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Abstract

For the stability problem of homogeneous shear flows in sea straits of arbitrary cross section, a sufficient condition for stability is derived under the condition of inviscid flow. It is shown that there is a critical wave number, and if the wave number of a normal mode is greater than this critical wave number, the mode is stable.

Key words： wave propagation; thermoelasticity; isotropic material; rotating cylinder; Lam? potential; thermal stress; hydrodynamic stability; shear flow; variable bottom; sea strait

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DOU Hua-Shu;V. GANESH . Short wave stability of homogeneous shear flows with variable topography[J]. Applied Mathematics and Mechanics, 2014 , 35(5) : 541 -548 . DOI: 10.1007/s10483-014-1811-7

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