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Influence of flow topology and dilatation on scalar mixing in compressible turbulence

Published online by Cambridge University Press:  18 March 2016

Mohammad Danish ,
Sawan Suman  and
Sharath S. Girimaji
Mohammad Danish*
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi 110016, India
Sawan Suman
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi 110016, India
Sharath S. Girimaji
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843, USA
*
†Email address for correspondence: mddanish.me@gmail.com
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Abstract

The kinematics of passive scalar mixing and its relation to local flow topology and dilatation in compressible turbulence are examined using direct numerical simulations (DNS) of decaying isotropic turbulence. The main objective of this work is to characterize the dependence of various evolution mechanisms of scalar dissipation on local streamline topology and normalized dilatation. The DNS results indicate that the topology has a stronger influence on the nonlinear amplification mechanism than the dilatation level of a fluid element. In its appropriately normalized form, the amplification mechanism is found to be fairly independent of the Mach and Reynolds numbers. Non-focal topologies (the so called unstable-node/saddle/saddle and stable-node/saddle/saddle) are found to be associated with more intense mixing than the focal topologies at almost all dilatation levels. Alignment tendencies (jointly conditioned upon topology and dilatation) between the scalar-gradient vector and the strain-rate eigenvectors are shown to play a key role in shaping the observed behaviour in compressible turbulence. Finally, some modelling implications of these findings are discussed.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Isotropic turbulence Mixing: Turbulent mixing

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Papers
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Journal of Fluid Mechanics , Volume 793 , 25 April 2016 , pp. 633 - 655
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© 2016 Cambridge University Press 

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