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    • Keywords


      RT instability; flow past porous media; Brinkmann model; Saffmann boundary condition

    • Abstract


      The Rayleigh-Taylor (RT) instability at the interface between fluid and fluid saturated sparsely packed porous medium has been investigated making use of boundary layer approximation and Saffmann [8] boundary condition. An analytical solution for dispersion relation is obtained and is numerically evaluated for different values of the parameters. It is shown that RT instability can be controlled by a suitable choice of the thickness of porous layer, ratio of viscosities and the slip parameter.

    • Author Affiliations


      N Rudraiah1 B S Krishnamurthy1 2 T Masuoka1 3

      1. UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Bangalore University, Central College Campus, Bangalore - 560001, India
      2. Department of Physics, Gulbarga University, Gulbarga - 585 106, India
      3. Department of Mechanical Engineering, Kitakushu Institute of Technology, Japan
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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