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Shear Flow of a Viscous Fluid over a Cavity with a Pulsating Gas Bubble

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Abstract

For the first time, the effect of pressure fluctuations on the averaged shear stress in a shear viscous flow over a two-dimensional rectangular microcavity containing a pulsating gas bubble is studied. This problem formulation can be regarded as a model of a fluid flow in a viscous sublayer of a turbulent boundary layer in a vicinity of microcavities of a striped superhydrophobic surface. The aim of the study is to analyze possible non-stationary mechanisms resulting in an average velocity slip and a friction reduction in a turbulent boundary layer on a superhydrophobic surface. The method of boundary integral equations is used to solve numerically the Stokes equations describing a shear-driven viscous flow in a viscous sublayer over a single microcavity containing a compressible gas bubble.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Moscow, Russia

    A. I. Ageev & A. N. Osiptsov

Authors
  1. A. I. Ageev
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  2. A. N. Osiptsov
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Correspondence to A. I. Ageev or A. N. Osiptsov.

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The work was performed in accordance with the research plan of MSU with a financial support from the Russian Foundation for Basic Research (project no. 20-01-00103).

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Ageev, A.I., Osiptsov, A.N. Shear Flow of a Viscous Fluid over a Cavity with a Pulsating Gas Bubble. Dokl. Phys. 65, 242–245 (2020). https://doi.org/10.1134/S1028335820050031

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  • DOI: https://doi.org/10.1134/S1028335820050031

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