• Stokes flow with slip and Kuwabara boundary conditions

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      https://www.ias.ac.in/article/fulltext/pmsc/112/03/0463-0475

    • Keywords

       

      Particle-in-cell models; Gegenbauer function; slip condtion; deformed sphere; vorticity

    • Abstract

       

      The forces experienced by randomly and homogeneously distributed parallel circular cylinder or spheres in uniform viscous flow are investigated with slip boundary condition under Stokes approximation using particle-in-cell model technique and the result compared with the no-slip case. The corresponding problem of streaming flow past spheroidal particles departing but little in shape from a sphere is also investigated. The explicit expression for the stream function is obtained to the first order in the small parameter characterizing the deformation. As a particular case of this we considered an oblate spheroid and evaluate the drag on it.

    • Author Affiliations

       

      Sunil Datta1 Satya Deo1 2

      1. Department of Mathematics and Astronomy, Lucknow University, Lucknow - 226 007, India
      2. Department of Mathematics, University of Allahabad, Allahabad - 211 002, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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