Bhatnagar, A and Gupta, A and Mitra, D and Perlekar, P and Pandit, R (2015) Universal statistical properties of inertial-particle trajectories in three-dimensional, homogeneous, isotropic, fluid turbulence. In: 15th European Turbulence Conference, ETC 2015, 25-28 Aug 2015, Delf, Netherlands.
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We obtain new universal statistical properties of heavy-particle trajectories in three-dimensional, statistically steady, homogeneous, and isotropic turbulent flows by direct numerical simulations. We show that the probability distribution functions (PDFs) P(�), of the angle � between the Eulerian velocity u and the particle velocity v, at a point and time, scales as P(�) � ��γ, with a new universal exponent γ � 4. The PDFs of the trajectory curvature κ and modulus θ of the torsion � scale, respectively, as P(κ) � κ�hκ, as κ � �, and P(θ) � θ�hθ, as θ � �, with exponents hκ � 2.5 and hθ � 3 that do not depend on the Stokes number St. We also show that γ, hκ and hθ can be obtained by using simple stochastic models. We show that the number NI(t,St) of points (up until time t), at which � changes sign, is such that nI(St) � limt�� NI(tSt) � St��, with � � 0.4 a universal exponent. t © TU Delft.
| Item Type: | Conference Paper |
|---|---|
| Publication: | Proceedings - 15th European Turbulence Conference, ETC 2015 |
| Publisher: | European Turbulence Conference |
| Additional Information: | Copyright of this article belongs to TU Delft |
| Keywords: | Distribution functions; Stochastic systems; Trajectories; Turbulence; Velocity control, Fluid turbulence; Heavy particles; Inertial particles; Isotropic turbulent flow; Particle velocities; Simple stochastic; Statistical properties; Stokes number, Stochastic models |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 09 Apr 2021 07:45 |
| Last Modified: | 09 Apr 2021 07:45 |
| URI: | http://eprints.iisc.ac.in/id/eprint/64931 |
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