Stokes flow with slip and Kuwabara boundary conditions |
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Authors: | Sunil Datta Satya Deo |
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Institution: | (1) Department of Mathematics and Astronomy, Lucknow University, 226 007 Lucknow, India;(2) Department of Mathematics, University of Allahabad, 211 002 Allahabad, India |
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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. |
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Keywords: | Particle-in-cell models Gegenbauer function slip condtion deformed sphere vorticity |
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