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Transitional structures in annular Poiseuille flow depending on radius ratio

Published online by Cambridge University Press:  05 April 2016

Takahiro Ishida ,
Yohann Duguet  and
Takahiro Tsukahara
Takahiro Ishida*
Affiliation:
Department of Mechanical Engineering, Tokyo University of Science, Yamazaki 2641, Noda-shi, Chiba 278-8510, Japan
Yohann Duguet
Affiliation:
LIMSI-CNRS, Université Paris-Sud, Université Paris-Saclay, F-91405 Orsay, France
Takahiro Tsukahara
Affiliation:
Department of Mechanical Engineering, Tokyo University of Science, Yamazaki 2641, Noda-shi, Chiba 278-8510, Japan
*
†Email address for correspondence: takahiro.ishida7@gmail.com
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Abstract

The transitional regime of incompressible pressure-driven flows inside an annular pipe is investigated using accurate direct numerical simulation in long computational domains. At marginally low friction Reynolds number $Re_{{\it\tau}}$ , turbulence occurs in the form of intermittent localised structures. Different types of localisation are identified as the aspect ratio is varied from ${\it\eta}=0.8$ to $0.1$ . These coherent structures vary from helical turbulence at ${\it\eta}=0.8$ to streamwise-localised puffs at ${\it\eta}=0.1$ . They are respectively analogous to the stripe patterns and puffs formerly identified in plane channel flow and cylindrical pipe flow. Helical turbulence has been tracked down to ${\it\eta}=0.3$ , accompanied by a monotonic reduction of the pitch angle. For ${\it\eta}=0.3$ and marginally low $Re_{{\it\tau}}$ , these turbulence structures localise in the streamwise direction, giving rise to a new regime of helical puffs with chirality. The present results suggest that helical puffs mediate the transition from globally axisymmetric puffs to helical stripe patterns.

JFM classification

Instability: Instability Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent transition

Information

Type
Rapids
Information
Journal of Fluid Mechanics , Volume 794 , 10 May 2016 , R2
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Copyright
© 2016 Cambridge University Press 

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