The calculations of Stimson and Jeffery of the force on two spheres moving coaxially through a very viscous liquid are extended to the case when the spheres move at different rates. This result is used to calculate the effect of the bottom of the vessel in a falling sphere viscometer and that of the upper surface of the liquid. Approximate solutions are also found in a form suitable for practical use.
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Alaric Maude (1961) studied this question.
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