Viscous Fluid Flow Under the Influence of a Resonant Acoustic Field

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Abstract
This paper presents an analytical solution for laminar channel flow under the influence of a resonant acoustic field. The solution predicts that standing vortices exist in the flow and that the size of these vortices, the ratio of the width of the vortex to the half channel width, is dependent upon the parameter M¯/M02 where M is the average Mach number of the through flow and M0 is the acoustic Mach number which is based upon the maximum amplitude of the time dependent velocity. The existence of the standing vortices was confirmed experimentally by a visualization study of tube flow. Typical flow fields are shown photographically. Finally the threshold data of Eastwood for convection heat transfer under the influence of a resonant acoustic field are correlated. It was shown that sound affects the local heat-transfer rate if M¯/M02 is less than 63.

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