Abstract
A number of rotatory oscillating systems have been used in literature in the study of elastico-viscous fluids.Frater suggested another type of oscillating system for the same. In this system a sphere is suspended in an infinite expanse of fluid and is made to perform small linear oscillations about a mean position. In the present paper, we have considered the rotatory and linear oscillations of a sphere in an infinite mass of elasticoviscous fluids. The general solutions obtained cover almost all types of elastico-viscous models, includingWalters liquidB′, Oldroyd type fluids and the Second order fluids. Considering two different representations of the same dilute polymer solution, we arrive at such results which make us to suspect whether the experimental values of the material constants obtained for a certain polymer solution through rotatory oscillating experiments can be used to assess or predict correct results for linear oscillatory flow situations.
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