Stokes Flow with Slip and Kuwabara Boundary Conditions

Proceedings Mathematical Sciences

Sunil Datta²  Satya Deo¹ 

[1] Department of Mathematics, University of Allahabad, Allahabad 00, India$$;Department of Mathematics and Astronomy, Lucknow University, Lucknow 00, India$$

关键词: Particle-in-cell models;    Gegenbauer function;    slip condition;    deformed sphere;    vorticity.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown