Slow motion of a sphere moving normal to two infinite parallel plane walls in a micropolar fluid

In the present work, we consider the slow steady motion of a rigid sphere moving normal to two parallel plane walls in a micropolar fluid. Non-dimensional variables are introduced. A combined analytical-numerical technique based on the superposition principle and a numerical method, namely the collocation method, is used. The drag force and the wall correction factor are evaluated. Numerical results are obtained and represented graphically.

[1]  Fu C Hsu,et al.  Photophoresis of an aerosol sphere normal to a plane wall. , 2005, Journal of colloid and interface science.

[2]  A. Eringen,et al.  Microcontinuum Field Theories II Fluent Media , 1999 .

[3]  Grzegorz Lukaszewicz,et al.  Micropolar Fluids: Theory and Applications , 1998 .

[4]  Robert H. Davis,et al.  Low-Reynolds-number motion of a heavy sphere between two parallel plane walls , 2006 .

[5]  H. Keh,et al.  Slow motion of a slip spherical particle perpendicular to two plane walls , 2006 .

[6]  Y. Hsu,et al.  Boundary effects on osmophoresis: Motion of a spherical vesicle perpendicular to two plane walls , 2006 .

[7]  A. Kucaba-Pietal Flow past a sphere moving towards a wall in micropolar fluid , 1999 .

[8]  H. Keh,et al.  SLOW MOTION OF AN ARBITRARY AXISYMMETRIC BODY ALONG ITS AXIS OF REVOLUTION AND NORMAL TO A PLANE SURFACE , 1994 .

[9]  J. Happel,et al.  Low Reynolds number hydrodynamics , 1965 .

[10]  P. Verma,et al.  Couette flow of micropolar fluids , 1968 .

[11]  Diffusiophoresis of a colloidal sphere in nonelectrolyte gradients parallel to one or two plane walls , 2002 .

[12]  A drag formula revisited , 2005 .

[13]  H. Keh,et al.  Slow motion of a droplet between two parallel plane walls , 2001 .

[14]  Sheldon Weinbaum,et al.  A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion , 1980, Journal of Fluid Mechanics.

[15]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[16]  S. Majumdar,et al.  Drag on an axially symmetric body in the Stokes’ flow of micropolar fluid , 1976 .

[17]  M. S. Faltas,et al.  Slip at the surface of a sphere translating perpendicular to a plane wall in micropolar fluid , 2008 .

[18]  P. Szymczak,et al.  Drag force on a sphere moving towards a corrugated wall , 2004, Journal of Fluid Mechanics.

[19]  Boundary effects on osmophoresis: motion of a spherical vesicle parallel to two plane walls , 2003 .