• On Howard’s conjecture in heterogeneous shear flow problem

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      https://www.ias.ac.in/article/fulltext/pmsc/113/04/0451-0456

    • Keywords

       

      Heterogeneous shear flows; linear stability

    • Abstract

       

      Howard’s conjecture, which states that in the linear instability problem of inviscid heterogeneous parallel shear flow growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with negligible buoyancy forcegΒ ≪ 1 (Miles J W,J. Fluid Mech.10 (1961) 496–508), where Β is the basic heterogeneity distribution function).

    • Author Affiliations

       

      R G Shandil1 Jagjit Singh1 2

      1. Department of Mathematics, H.P. University, Shimla - 171 005, India
      2. Sidharth Govt. Degree College, Nadaun, Dist. Hamirpur - 177 033, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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