Transient creeping flow around fluid spheres

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Abstract
A description of transient behavior of a spherical liquid drop rising or falling in a quiescent continuous field has been obtained by numerical methods. It is found that for the same disperse phase to continuous phase density ratio, the transient behavior of a liquid drop is usually intermediate between that of a gas bubble and a solid sphere. However, at the region where V/V∞ of a solid sphere is approximately equal to that of a gas bubble, the liquid drop generally has a higher value of V/V∞ than either the gas bubble or the solid sphere.For short times, behavior of a liquid drop is shown to be in agreement with that obtained from potential flow theory.

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