Axi-symmetric motion of a porous approximate sphere in an approximate spherical container

• Autorzy: Srinivasacharya D. , Krishna Prasad M.
• Języki publikacji: EN

Abstrakty

EN

The creeping motion of a porous approximate sphere at the instant it passes the center of an approximate spherical container with Ochoa-Tapia and Whitaker’s stress jump boundary condition has been investigated analytically. The Brinkman’s model for the flow inside the porous approximate sphere and the Stokes equation for the flow in an approximate spherical container were used to study the motion. The stream function (and thus the velocity) and pressure (both for the flow inside the porous approximate sphere and inside an approximate spherical container) are calculated. The drag force experienced by the porous approximate spherical particle and wall correction factor are determined in closed forms. The special cases of porous sphere in a spherical container and oblate spheroid in an oblate spheroidal container are obtained from the present analysis. It is observed that drag not only changes with the permeability of the porous region, but as the stress jump coefficient increases, the rate of change in behavior of drag increases.

Słowa kluczowe

EN

porous approximate sphere; Stokes flow; Brinkman equation; stress jump coefficient; drag; wall correction factor

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2013
• Tom: Vol. 65, nr 6
• Strony: 485--509
• Opis fizyczny: Bibliogr. 43 poz., rys.

Twórcy

autor

Srinivasacharya D.

• Department of Mathematics National Institute of Technology Warangal-506 004, A.P., India

autor

Krishna Prasad M.

• Department of Mathematics National Institute of Technology Warangal-506 004, A.P., India

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