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Steady flows in an oscillating deformable container: Effect of the dimensionless frequency
Phys. Rev. Fluids 2, 094501 – Published 22 September, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.094501
Abstract
This research involves an experimental study of steady streaming of a fluid excited in an oscillating cylindrical container with an elastically deformable boundary. The influence of the vibration parameters and fluid properties on the structure and intensity of flows in the container is studied. The dependence of the structure and intensity of the flows on the governing parameters, the Froude number, and the dimensionless frequency, which determines the ratio between the cavity size and the Stokes boundary layer, is investigated. It is shown that steady streaming is generated within a region of high dimensionless frequencies, which does not depend on frequency and is fully determined by the dimensionless amplitude. It is discovered that steady flows change qualitatively in a region of intermediate and low frequencies where the thickness of the dynamic boundary layers is comparable to the cavity size. In a region of low frequencies, the direction of steady flow is opposite to that in a region of high frequencies and the flow intensity decreases with frequency. The discovered dependencies have a similar nature and shed light on flows in oscillating containers, including droplets with a saturated interface.
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