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Coherent structures and riblets

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Abstract

This work deals with the effect of the riblets on the coherent structures near the wall. The emphasis is put on the genesis of the quasi-streamwise vortices in the presence of the riblets. The quasi-streamwise vortices regenerate by the tilting of wall normal vorticity induced by prevailing structures. This requires a mechanism which leads to a temporal streamwise dependence near the elongated flow structures and to a subsequent formation of new wall normal vorticity. It is suggested here that the action of existing quasi-streamwise vortices on the sidewalls of wall normal vorticity may create a local, streamwise dependent spanwise velocity and therefore, a secondary wall normal vorticity field. A preliminary analysis of the set-up and the time and space development of this secondary three-dimensional flow associated with the regeneration mechanism, is given. An attempt is made, in order to explain the drag reduction performed by the riblets through an intermittent model, based on the protrusion height. Logical estimates of the amount of drag reduction are obtained. The differences between the mechanism suggested here and those based on forced control experiments are also discussed.

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  1. Laboratoire des Ecoulements Géophysiques et Industriels, Institut de Mécanique de Grenoble, CNRS-UJF-INPG, BP 53-X 38041, Grenoble Cédex, France

    Sedat F. Tardu

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Tardu, S.F. Coherent structures and riblets. Appl. Sci. Res. 54, 349–385 (1995). https://doi.org/10.1007/BF00863518

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