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On the influence of wavy riblets on the slip behaviour of viscous fluids

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Abstract

In this work, we use the homogenization theory to investigate the capability of wavy riblet patterns to influence the behaviour of a viscous flow near a ribbed boundary. Starting from perfect slip conditions on the wall, we show that periodic oscillations of wavy riblets in the lateral direction may induce a friction effect in the direction of the flow, contrary to what happens with straight riblets. Finally, we illustrate this effect numerically by simulating riblet profiles that are widely used in experimental studies: the V-shape, U-shape, and blade riblets.

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Authors and Affiliations

  1. Univ. Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, 75205, Paris, France

    Matthieu Bonnivard & Francisco J. Suárez-Grau

  2. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, 41012, Seville, Spain

    Francisco J. Suárez-Grau

  3. Mathematical Institute, Faculty of Mathematics and Physics, Charles University, Prague 8, 186 75, Czech Republic

    Giordano Tierra

Authors
  1. Matthieu Bonnivard
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  2. Francisco J. Suárez-Grau
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  3. Giordano Tierra
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Correspondence to Matthieu Bonnivard.

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Bonnivard, M., Suárez-Grau, F.J. & Tierra, G. On the influence of wavy riblets on the slip behaviour of viscous fluids. Z. Angew. Math. Phys. 67, 27 (2016). https://doi.org/10.1007/s00033-015-0614-y

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  • DOI: https://doi.org/10.1007/s00033-015-0614-y

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