4.7 Article

Drag on a slip spherical particle moving in a couple stress fluid

Journal

ALEXANDRIA ENGINEERING JOURNAL
Volume 55, Issue 2, Pages 1159-1164

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.aej.2016.03.032

Keywords

Drag formula; Couple stress fluid; Slip condition

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The creeping motion of a rigid slip sphere in an unbounded couple stress fluid is investigated. The linear slip boundary condition and the vanishing couple stress condition are applied on the surface of the sphere. A simple formula for the drag force acting on a slip sphere translating in an unbounded couple stress fluid is obtained. Special cases of the deduced drag formula are concluded and compared with analogous results in the literature. The normalized drag force experienced by the fluid on the slip sphere is represented graphically and the effects of slip parameter and viscosity coefficients are discussed. (C) 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

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