Abstract.
The Stokes axisymmetrical flow caused by a sphere translating in a micropolar fluid perpendicular to a plane wall at an arbitrary position from the wall is presented using a combined analytical-numerical method. A linear slip, Basset type, boundary condition on the surface of the sphere has been used. To solve the Stokes equations for the fluid velocity field and the microrotation vector, a general solution is constructed from fundamental solutions in both cylindrical, and spherical coordinate systems. Boundary conditions are satisfied first at the plane wall by the Fourier transforms and then on the sphere surface by the collocation method. The drag acting on the sphere is evaluated with good convergence. Numerical results for the hydrodynamic drag force and wall effect with respect to the micropolarity, slip parameters and the separation distance parameter between the sphere and the wall are presented both in tabular and graphical forms. Comparisons are made between the classical fluid and micropolar fluid.
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Sherif, H.H., Faltas, M.S. & Saad, E.I. Slip at the surface of a sphere translating perpendicular to a plane wall in micropolar fluid. Z. angew. Math. Phys. 59, 293–312 (2008). https://doi.org/10.1007/s00033-007-6078-y
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DOI: https://doi.org/10.1007/s00033-007-6078-y