• On the Existence of Hydrodynamic Instability in Single Diffusive Bottom Heavy Systems with Permeable Boundaries

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      https://www.ias.ac.in/article/fulltext/pmsc/121/04/0495-0501

    • Keywords

       

      Convection; specific heat; permeable; hydrodynamic instability.

    • Abstract

       

      We utilize the reformulated equations of the classical theory, as derived by Banerjee et al.(J. Math. Anal. Appl. 175 (1993) 458), to establish mathematically, the existence of hydrodynamic instability in single diffusive bottom heavy systems, when considered in the more general framework of the boundary conditions of the type specified by Beavers and Joseph (J. Fluid Mech. 30 (1967) 197), in the parameter regime $T_0\alpha_2>1$, where $T_0$ and $\alpha_2$ being some properly chosen mean temperature and coefficient of specific heat (at constant volume) variation due to temperature variation respectively.

    • Author Affiliations

       

      A K Gupta1 R G Shandil2

      1. Himachal Pradesh University Centre for Evening Studies, Shimla 171 001, India
      2. Department of Mathematics, Himachal Pradesh University, Shimla 171 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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