Steady Viscous Flow Around a Permeable Spheroidal Particle

  • Krishna Prasad MadasuEmail author
  • Tina Bucha
Original Paper


Stokes incompressible viscous fluid flow through a permeable spheroidal particle which is a bit deformed from the shape of a sphere is studied and solved analytically. It consists of two regions, porous region which obeys Darcy’s law and liquid region in which Stokes approximation is used. Boundary conditions used at the interface are mass conservation, balance of normal stress, and Beavers–Joseph–Saffman–Jones condition. Expression for drag which acts on the spheroid is obtained and well known results are deduced in the limiting cases. Variation of drag coefficient with various parameters like deformation, slip, permeability, no slip are shown by graphs.


Permeable spheroid Stokes flow Darcy law Drag force 

Mathematics Subject Classification




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© Springer Nature India Private Limited 2019

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of TechnologyRaipurIndia

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