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Numerical simulation of the compressible mixing layer past an axisymmetric trailing edge

Published online by Cambridge University Press:  30 October 2007

FRANCK SIMON ,
SEBASTIEN DECK ,
PHILIPPE GUILLEN ,
PIERRE SAGAUT  and
ALAIN MERLEN
FRANCK SIMON
Affiliation:
ONERA, Applied Aerodynamics Department, F-92322 Châtillon, France
SEBASTIEN DECK
Affiliation:
ONERA, Applied Aerodynamics Department, F-92322 Châtillon, France
PHILIPPE GUILLEN
Affiliation:
ONERA, Applied Aerodynamics Department, F-92322 Châtillon, France
PIERRE SAGAUT
Affiliation:
Institut Jean Le Rond d'Alembert, UMR 7190, Université Pierre et Marie Curie - Paris 6, F-75005 Paris, France
ALAIN MERLEN
Affiliation:
Laboratoire de Mécanique de Lille, UMR 8107, Université des sciences et technologies de Lille, F-59655 Villeneuve d'Ascq, France
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Abstract

Numerical simulation of a compressible mixing layer past an axisymmetric trailing edge is carried out for a Reynolds number based on the diameter of the trailing edge approximately equal to 2.9 × 106. The free-stream Mach number at separation is equal to 2.46, which corresponds to experiments and leads to high levels of compressibility. The present work focuses on the evolution of the turbulence field through extra strain rates and on the unsteady features of the annular shear layer. Both time-averaged and instantaneous data are used to obtain further insight into the dynamics of the flow. An investigation of the time-averaged flow field reveals an important shear-layer growth rate in its initial stage and a strong anisotropy of the turbulent field. The convection velocity of the vortices is found to be somewhat higher than the estimated isentropic value. This corroborates findings on the domination of the supersonic mode in planar supersonic/subsonic mixing layers. The development of the shear layer leads to a rapid decrease of the anisotropy until the onset of streamline realignment with the axis. Due to the increase of the axisymmetric constraints, an adverse pressure gradient originates from the change in streamline curvature. This recompression is found to slow down the eddy convection. The foot shock pattern features several convected shocks emanating from the upper side of the vortices, which merge into a recompression shock in the free stream. Then, the flow accelerates and the compressibility levels quickly drop in the turbulent developing wake. Some evidence of the existence of large-scale structures in the near wake is found through the domination of the azimuthal mode m = 1 for a Strouhal number based on trailing-edge diameter equal to 0.26.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 591 , 25 November 2007 , pp. 215 - 253
Copyright
Copyright © Cambridge University Press 2007

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