ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Relative Motion of Fluid Spheres with a Free Surface

Author(s):

B. S. Bhatt

Department Of Mathematics & Computer Science
The University Of The West Indies, St. Augustine
Trindad, W.I.

bbhatt@centre.uwi.tt

A. Shirley

Department Of Mathematics & Computer Science
The University Of The West Indies, St. Augustine
Trindad, W.I.

bbhatt@centre.uwi.tt

Abstract:

Relative motion of liquid spheres of different viscosities has been considered when the surface of the outer sphere is a free surface. The exact solution has been found using Stokes' approximation. Drag force experienced by the inner sphere has been determined and several cases of interest have been derived. The correction to the drag expression up to first order in Reynolds number has also been obtained. The effect of viscosity ratio and the Reynolds number on the drag has been shown graphically.

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