Abstract
A general formula is derived for the effect of container boundaries on the motion of a particle immersed in a non-Newtonian fluid. The result is similar to the corresponding formula of Brenner[1] for Newtonian fluids except that it is valid only for the correction of the velocity and not of the force. For a sphere falling axially in a cylinder, a formula is given which is the non-Newtonian equivalent of the Faxen wall correction formula. The experimental results of Turian[14] are analyzed with this formula and the value of the zero-shear viscosity of his polymer solution is found by an extrapolation based on the theory of third order Rivlin-Ericksen fluids.
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