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Vortex stretching and compression near the turbulent/non-turbulent interface in a planar jet

Published online by Cambridge University Press:  13 October 2014

Tomoaki Watanabe ,
Yasuhiko Sakai ,
Kouji Nagata ,
Yasumasa Ito  and
Toshiyuki Hayase
Tomoaki Watanabe*
Affiliation:
Department of Mechanical Science and Engineering, Nagoya University, Nagoya 464-8603, Japan
Yasuhiko Sakai
Affiliation:
Department of Mechanical Science and Engineering, Nagoya University, Nagoya 464-8603, Japan
Kouji Nagata
Affiliation:
Department of Mechanical Science and Engineering, Nagoya University, Nagoya 464-8603, Japan
Yasumasa Ito
Affiliation:
Department of Mechanical Science and Engineering, Nagoya University, Nagoya 464-8603, Japan
Toshiyuki Hayase
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan
*
†Email address for correspondence: watanabe.tomoaki@c.nagoya-u.jp
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Abstract

Vortex stretching and compression, which cause enstrophy production by inviscid processes, are investigated near the turbulent/non-turbulent (T/NT) interface in a planar jet by using a direct numerical simulation (DNS). The enstrophy production is investigated by analysing the relationship among a vorticity vector, strain-rate eigenvectors and strain-rate eigenvalues. The statistics are calculated individually for three different interface orientations. The vorticity near the T/NT interface is oriented in the tangential direction to the interface. The enstrophy production is affected by the interface orientation because the intensity of vortex stretching depends on the interface orientation, and the alignment between the vorticity vector and the strain-rate eigenvectors is confined by the interface. The enstrophy production near the T/NT interface is analysed by considering the motion of turbulent fluid relative to that of the interface. The results show that the alignment between the interface and the strain-rate eigenvectors changes depending on the velocity field near the T/NT interface. When the turbulent fluid moves toward the T/NT interface, the enstrophy is generated by vortex stretching without being greatly affected by vortex compression. In contrast, when the turbulent fluid relatively moves away from the T/NT interface, large enstrophy reduction frequently occurs by vortex compression. Thus, it is shown that the velocity field near the T/NT interface affects the enstrophy production near the interface through the alignment between the vorticity and the strain-rate eigenvectors.

JFM classification

Wakes/Jets: Jets Turbulent Flows: Turbulent Flows Vortex Flows: Vortex dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 758 , 10 November 2014 , pp. 754 - 785
Copyright
© 2014 Cambridge University Press 

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