Abstract
Theoretical predictions are presented for the steady secondary flows (acoustic streaming) produced by the propagation of a finite amplitude planar acoustic wave in a non-Newtonian fluid. The constitutive equation governing finite amplitude acoustic wave propagation in quiescent non-Newtonian fluids is derived and consists of an integral expansion of the constitutive functional. Each successive term of the expansion is higher order in a small parameter related to the amplitude of the propagated wave. The linear term of the expansion governs infinitesimal wave propagation and the quadratic term governs nonlinear effects. These equations are used to study the acoustic streaming caused by the propagation of a finite amplitude planar acoustic wave in a channel which has a width greater than that of the acoustic wave. The results show that because of nonlinear viscoelastic effects, the direction of the streaming can be opposite to that found for Newtonian fluids. [Work supported by NSF.]
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