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Interscale kinetic energy transfer in chemically reacting compressible isotropic turbulence

Published online by Cambridge University Press:  15 February 2021

Jian Teng Open the ORCID record for Jian Teng [Opens in a new window] ,
Jianchun Wang Open the ORCID record for Jianchun Wang [Opens in a new window] ,
Hui Li Open the ORCID record for Hui Li [Opens in a new window]  and
Shiyi Chen
Jian Teng
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong518055, PR China School of Power and Mechanical Engineering, Wuhan University, Wuhan430072, PR China Southern Marine Science and Engineering Guangdong Laboratory, Guangzhou511458, PR China
Jianchun Wang*
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong518055, PR China Southern Marine Science and Engineering Guangdong Laboratory, Guangzhou511458, PR China
Hui Li
Affiliation:
School of Power and Mechanical Engineering, Wuhan University, Wuhan430072, PR China
Shiyi Chen*
Affiliation:
Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong518055, PR China Southern Marine Science and Engineering Guangdong Laboratory, Guangzhou511458, PR China
*
†Email addresses for correspondence: wangjc@sustech.edu.cn, chensy@sustech.edu.cn
†Email addresses for correspondence: wangjc@sustech.edu.cn, chensy@sustech.edu.cn
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Abstract

Interscale kinetic energy transfer in chemically reacting compressible isotropic turbulence is studied using numerical simulations at turbulent Mach numbers 0.2 and 0.8 for isothermal and exothermic reactions. At low turbulent Mach number $M_{t}=0.2$ for exothermic reaction, heat release greatly enhances expansion and compression motions, and induces the formation of shocklets which are not observed for isothermal reaction at the same turbulent Mach number. It is found that heat release through exothermic reactions enhances both the positive and the negative components of pressure–dilatation, as well as positive and negative components of subgrid-scale (SGS) kinetic energy flux, indicating an increase of both forward-scatter and backscatter of kinetic energy. The SGS flux of kinetic energy has a tendency to be from large scales to small scales. The solenoidal components of pressure–dilatation and SGS kinetic energy flux are minorly influenced by heat release of reaction, while the dilatational components of pressure–dilatation and SGS kinetic energy flux are significantly intensified by heat release at all length scales. Heat release enhances the kinetic energy of the dilatational mode through the pressure work, and leads to the increase of dilatational kinetic energy transfer from large scales to small scales through dilatational SGS flux, as well as the viscous dissipation of dilatational kinetic energy at small scales. Taylor Reynolds number has a minor influence on the qualitative statistical properties of interscale kinetic energy transfer terms.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Isotropic turbulence Reacting Flows: Turbulent reacting flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 912 , 10 April 2021 , A36
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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