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Inertial effects in dusty Rayleigh–Taylor turbulence

Published online by Cambridge University Press:  07 September 2021

Marta Magnani Open the ORCID record for Marta Magnani [Opens in a new window] ,
Stefano Musacchio  and
Guido Boffetta
Marta Magnani*
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino, Italy Istituto di Geoscienze e Georisorse, CNR, Via Valperga Caluso 35, 10125 Torino, Italy
Stefano Musacchio
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino, Italy
Guido Boffetta
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino, Italy
*
†Email address for correspondence: marta.magnani@edu.unito.it
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Abstract

We investigate the dynamics of a dilute suspension of small, heavy particles superposed on a reservoir of still, pure fluid. The study is performed by means of numerical simulations of the Saffman model for a dilute particle suspension (Saffman, J. Fluid Mech., vol. 13, issue 1, 1962, pp. 120–128). In the presence of gravity forces, the interface between the two phases is unstable and evolves in a turbulent mixing layer which broadens in time. In the case of negligible particle inertia, the particle-laden phase behaves as a denser fluid, and the dynamics of the system recovers to that of the incompressible Rayleigh–Taylor set-up. Conversely, particles with large inertia affect the evolution of turbulent flow, delaying the development of turbulent mixing and breaking the up–down symmetry within the mixing layer. The inertial dynamics also leads to particle clustering, characterised by regions with higher particle density than the initial uniform density, and by the increase of the local Atwood number.

JFM classification

Mixing: Turbulent mixing Multiphase and Particle-laden Flows: Particle/fluid flow

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 926 , 10 November 2021 , A23
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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