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Stokes flow with slip and Kuwabara boundary conditions

  • Sunil Datta
  • Satya Deo
Article

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.

Keywords

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

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References

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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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