1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 119
    5. Issue 1

    • On Upper Bounds for the Growth Rate in the Extended Taylor–Goldstein Problem of Hydrodynamic Stability

      V Ganesh M Subbiah

      Volume 119 Issue 1 February 2009 pp 119-135

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0119-0135

    • Keywords

       

      Shear flows; hydrodynamic stability; sea straits; variable bottom.

    • Abstract

       

      For the extended Taylor–Goldstein problem of hydrodynamic stability governing the stability of shear flows of an inviscid, incompressible but density stratified fluid in sea straits of arbitrary cross-section a new estimate for the growth rate of an arbitrary unstable normal mode is given for a class of basic flows. Furthermore the Howard’s conjecture, namely, the growth rate $kc_i\to 0$ as the wave number $k\to\infty$ is proved for two classes of basic flows.

    • Author Affiliations

       

      V Ganesh1 M Subbiah2

      1. Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Kirumampakkam, Pondicherry 607 402, India
      2. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 605 014, India

    • Dates

       
      Published
      February 2009
      Manuscript received
      9 May 2007
      Manuscript revised
      30 October 2007

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index