4.5 Article

Torque on a slip sphere rotating in a semi-infinite micropolar fluid

Journal

MECCANICA
Volume 53, Issue 9, Pages 2319-2331

Publisher

SPRINGER
DOI: 10.1007/s11012-018-0828-0

Keywords

Micropolar fluid; Analytical-numerical technique; Collocation technique; Slip condition

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In this paper, the steady rotational motion of a slip sphere in a semi-infinite micropolar fluid is investigated. The sphere is assumed to rotate about a diameter perpendicular to an impermeable plane wall. The slip and spin boundary conditions are imposed on the spherical particle surface while on the plane wall surface the classical no-slip and no-spin conditions are utilized. A semi-analytical technique based on the principle of superposition together with a numerical method, called the collocation method, is employed to obtain the hydrodynamic torque acting on the spherical particle. Numerical results for the torque are obtained and illustrated graphically.

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