Applied Mathematics and Mechanics (English Edition) ›› 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

窦华书, V. GANESH   

  1. Faculty of Mechanical Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China
  • 收稿日期:2013-03-25 修回日期:2013-11-13 出版日期:2014-05-01 发布日期:2014-05-01

Short wave stability of homogeneous shear flows with variable topography

 DOU Hua-Shu, V. GANESH   

  1. Faculty of Mechanical Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China
  • Received:2013-03-25 Revised:2013-11-13 Online:2014-05-01 Published:2014-05-01

摘要: 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.

关键词: wave propagation, thermoelasticity, isotropic material, rotating cylinder, Lam? potential, thermal stress, hydrodynamic stability, shear flow, variable bottom, sea strait

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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