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Compressible turbulent channel and pipe flow: similarities and differences

Published online by Cambridge University Press:  07 April 2010

SOMNATH GHOSH ,
HOLGER FOYSI  and
RAINER FRIEDRICH
SOMNATH GHOSH
Affiliation:
Lehrstuhl für Aerodynamik, TU München, Boltzmannstrasse 15, D-85748, Garching, Germany
HOLGER FOYSI
Affiliation:
Aerodynamisches Institut, RWTH Aachen, Wuellnerstrasse 5a, D-52062, Aachen, Germany
RAINER FRIEDRICH*
Affiliation:
Lehrstuhl für Aerodynamik, TU München, Boltzmannstrasse 15, D-85748, Garching, Germany
*
†Email address for correspondence: r.friedrich@lrz.tum.de
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Abstract

Direct numerical simulation (DNS) is used to explore similarities and differences between fully developed supersonic turbulent plane channel and axisymmetric non-swirling pipe flow bounded by isothermal walls. The comparison is based on equal friction Mach number, friction Reynolds number, Prandtl number, ratio of specific heats and viscosity exponent. The channel half-width and pipe radius are chosen to define the Reynolds numbers. To what extent and why mean flow quantities, second-order turbulence statistics and terms in the Reynolds stress equations coincide or diverge in both flows are investigated. The role of the fluctuating pressure in causing characteristic differences among correlations involving pressure fluctuations is identified via a Green-function-based analysis of the pressure field.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 648 , 10 April 2010 , pp. 155 - 181
Copyright
Copyright © Cambridge University Press 2010

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