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

 

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Opened Access On the influence of wavy riblets on the slip behaviour of viscous fluids
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Author: Bonnivard, Matthieu
Suárez Grau, Francisco Javier
Tierra Chica, Giordano
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016-04
Published in: Zeitschrift für Angewandte Mathematik und Physik, 67 (2), 1-23.
Document type: Article
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.
Cite: Bonnivard, M., Suárez Grau, F.J. y Tierra Chica, G. (2016). On the influence of wavy riblets on the slip behaviour of viscous fluids. Zeitschrift für Angewandte Mathematik und Physik, 67 (2), 1-23.
Size: 1.355Mb
Format: PDF

URI: http://hdl.handle.net/11441/47341

DOI: 10.1007/s00033-015-0614-y

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