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Self-similar behaviour of a rotor wake vortex core

Published online by Cambridge University Press:  08 January 2014

Mohamed Ali  and
Malek Abid
Mohamed Ali
Affiliation:
Institut de Recherche sur les Phénomènes Hors Équilibre (IRPHE), CNRS, UMR 7342, Centrale Marseille, and Aix-Marseille Université, 49, rue F. Joliot Curie, B.P. 146, 13384 Marseille CEDEX 13, France
Malek Abid*
Affiliation:
Institut de Recherche sur les Phénomènes Hors Équilibre (IRPHE), CNRS, UMR 7342, Centrale Marseille, and Aix-Marseille Université, 49, rue F. Joliot Curie, B.P. 146, 13384 Marseille CEDEX 13, France
*
†Email address for correspondence: abid@irphe.univ-mrs.fr
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Abstract

We report a self-similar behaviour of solutions (obtained numerically) of the Navier–Stokes equations behind a single-blade rotor. That is, the helical vortex core in the wake of a rotating blade is self-similar as a function of its age. Profiles of vorticity and azimuthal velocity in the vortex core are characterized, their similarity variables are identified and scaling laws of these variables are given. Solutions of incompressible three-dimensional Navier–Stokes equations for Reynolds numbers up to $Re= 2000$ are considered.

JFM classification

Wakes/Jets: Wakes Vortex Flows: Vortex dynamics
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 740 , 10 February 2014 , R1
Copyright
©2014 Cambridge University Press 

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