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Effects of Atwood and Reynolds numbers on the evolution of buoyancy-driven homogeneous variable-density turbulence

Published online by Cambridge University Press:  18 May 2020

Denis Aslangil Open the ORCID record for Denis Aslangil [Opens in a new window] ,
Daniel Livescu Open the ORCID record for Daniel Livescu [Opens in a new window]  and
Arindam Banerjee Open the ORCID record for Arindam Banerjee [Opens in a new window]
Denis Aslangil*
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA18015, USA Los Alamos National Laboratory, Los Alamos, NM87545, USA
Daniel Livescu
Affiliation:
Los Alamos National Laboratory, Los Alamos, NM87545, USA
Arindam Banerjee
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA18015, USA
*
†Email address for correspondence: denis.aslangil@gmail.com
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Abstract

The evolution of buoyancy-driven homogeneous variable-density turbulence (HVDT) at Atwood numbers up to 0.75 and large Reynolds numbers is studied by using high-resolution direct numerical simulations. To help understand the highly non-equilibrium nature of buoyancy-driven HVDT, the flow evolution is divided into four different regimes based on the behaviour of turbulent kinetic energy derivatives. The results show that each regime has a unique type of dependence on both Atwood and Reynolds numbers. It is found that the local statistics of the flow based on the flow composition are more sensitive to Atwood and Reynolds numbers compared to those based on the entire flow. It is also observed that, at higher Atwood numbers, different flow features reach their asymptotic Reynolds-number behaviour at different times. The energy spectrum defined based on the Favre fluctuations momentum has less large-scale contamination from viscous effects for variable-density flows with constant properties, compared to other forms used previously. The evolution of the energy spectrum highlights distinct dynamical features of the four flow regimes. Thus, the slope of the energy spectrum at intermediate to large scales evolves from $-7/3$ to $-1$, as a function of the production-to-dissipation ratio. The classical Kolmogorov spectrum emerges at intermediate to high scales at the highest Reynolds numbers examined, after the turbulence starts to decay. Finally, the similarities and differences between buoyancy-driven HVDT and the more conventional stationary turbulence are discussed and new strategies and tools for analysis are proposed.

JFM classification

Mixing: Turbulent mixing Turbulent Flows: Homogeneous turbulence Convection: Buoyancy-driven instability

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , A12
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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