Stokes flow with slip and Kuwabara boundary conditions

  • Sunil Datta
  • Satya Deo


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.


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


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Copyright information

© Indian Academy of Sciences 2002

Authors and Affiliations

  • Sunil Datta
    • 1
  • Satya Deo
    • 1
    • 2
  1. 1.Department of Mathematics and AstronomyLucknow UniversityLucknowIndia
  2. 2.Department of MathematicsUniversity of AllahabadAllahabadIndia

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