Slip flow of a sphere in non-concentric spherical hypothetical cell

• Autorzy: Krishna-Prasad Madasu

Identyfikatory

DOI

10.17512/jamcm.2020.3.05

• Języki publikacji: EN

Abstrakty

EN

Slow axisymmetric flow of an incompressible viscous fluid caused by a slip sphere within a non-concentric spherical cell surface is investigated. The uniform velocity (Cunningham’s model) and tangential velocity reaches minimum along a radial direction are imposed conditions at the cell surface (Kvashnin’s model). The general solution of the problem is combined using superposition of the fundamental solution in the two spherical coordinate systems based on the centers of the slip sphere and spherical cell surface. Numerical results for the correction factor on the inner sphere are obtained with good convergence for various values of the relative distance between the centers of the sphere and spherical cell, the slip coefficient, and the volume fraction. The obtained results are in good agreement with the published results. The effect of concentration is more in the Cunningham’s model compared to the Kvashnin’s model. The wall correction factor on the no-slip sphere is more compared to that of a slip sphere. The correction factor on the slip sphere is more than that of a spherical gas bubble.

Słowa kluczowe

EN

Stokes flow; rigid sphere; non-concentric; drag force; slip condition

PL

przepływ Stokesa; siła tarcia; współczynnik poślizgu; współczynnik korekcji

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 3
• Strony: 59--70
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Krishna-Prasad Madasu

• Department of Mathematics, National Institute of Technology, Raipur-492010 Chhatisgarh, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).