Heavy inertial particles in turbulent flows gain energy slowly but lose it rapidly

Physical Review. E
Akshay BhatnagarRahul Pandit

Abstract

We present an extensive numerical study of the time irreversibility of the dynamics of heavy inertial particles in three-dimensional, statistically homogeneous, and isotropic turbulent flows. We show that the probability density function (PDF) of the increment, W(τ), of a particle's energy over a time scale τ is non-Gaussian, and skewed toward negative values. This implies that, on average, particles gain energy over a period of time that is longer than the duration over which they lose energy. We call this slow gain and fast loss. We find that the third moment of W(τ) scales as τ^{3} for small values of τ. We show that the PDF of power-input p is negatively skewed too; we use this skewness Ir as a measure of the time irreversibility and we demonstrate that it increases sharply with the Stokes number St for small St; this increase slows down at St≃1. Furthermore, we obtain the PDFs of t^{+} and t^{-}, the times over which p has, respectively, positive or negative signs, i.e., the particle gains or loses energy. We obtain from these PDFs a direct and natural quantification of the slow gain and fast loss of the energy of the particles, because these PDFs possess exponential tails from which we infer the characteristic loss and ga...Continue Reading

References

Aug 11, 2005·Physical Review Letters·Dhrubaditya MitraUriel Frisch
Mar 17, 2011·Physical Review Letters·Prasad PerlekarRahul Pandit
Sep 18, 2012·Reports on Progress in Physics·Jasper F KokDiana Bou Karam
May 6, 2014·Proceedings of the National Academy of Sciences of the United States of America·Haitao XuGuido Boffetta
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tobias GrafkeGregory Falkovich
Jan 14, 2017·Physical Review. E·Akshay BhatnagarRahul Pandit

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Citations

Nov 28, 2019·Physical Review. E·Vishwanath ShuklaSimon Thalabard
Nov 28, 2019·Physical Review. E·Priyanka MaitySamriddhi Sankar Ray
Jun 23, 2020·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Mahendra K Verma

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