Solid particle-induced flow in a cavity with slip-spin sphere surfaces

A quasi-steady flow due to a solid sphere moving in a micropolar fluid inside a concentric cavity is analyzed, where on the particle's external surface and the cavity's internal surface, the fluid can slip-spin. The solid particle translates upon the diameter connecting their centers when...

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Bibliographic Details
Published in:Physics of fluids (1994) 2024-10, Vol.36 (10)
Main Author: Salem, Ahmed G.
Format: Article
Language:English
Subjects:
Biological activity
Blood cells
Blood coagulation
Boundary conditions
Drag
Fluid dynamics
Fluid flow
Liquid-liquid extraction
Micropolar fluids
Particle spin
Raindrops
Reynolds number
Rheological properties
Rheology
Slip
Spherical coordinates
Steady flow
Velocity distribution
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Summary:A quasi-steady flow due to a solid sphere moving in a micropolar fluid inside a concentric cavity is analyzed, where on the particle's external surface and the cavity's internal surface, the fluid can slip-spin. The solid particle translates upon the diameter connecting their centers when the Reynolds numbers are low. A general solution, to resolve the Stokesian equations for the fluid velocity field, is obtained according to the spherical coordinates, depending on the concentric position between the particle and cavity. Boundary conditions are satisfied, on the particle's external surface and the cavity's internal surface. Moreover, a tangential couple stress is used on both surfaces. The normalized drag force affecting a translating particle is determined to be a function that increases monotonically for the ratio of the solid-to-cavity radii, becoming infinite when the particle surface touches the cavity surface. Numerical outcomes for the normalized force affecting the particle's surface are gained at different values for the ratio of the particle-to-cavity radii and also the slip-spin surface coefficients of the particle and cavity. Our outcomes are in a high level of precision with the solutions available in the literature. The current study is significant for the domains of industrial, natural, biological, and medical processes, like the production of raindrops, the flow of blood cells in arteries and veins, sedimentation, coagulation, suspension rheology, and liquid–liquid extraction.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0228557