Multifractal droplet dynamics in two-dimensional, binary-fluid turbulence

Pal, N and Perlekar, P and Pandit, R (2015) Multifractal droplet dynamics in two-dimensional, binary-fluid turbulence. In: 15th European Turbulence Conference, ETC 2015, 25-28 August 2015, Delf; Netherlands.

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Abstract

We present the most extensive direct numerical simulations, attempted so far, of statistically steady, homogeneous, isotropic turbulence in two-dimensional, binary-fluid mixtures with air-drag-induced friction. We model this mixture by using the Cahn-Hilliard-Navier-Stokes equations and choose parameters, e.g., the surface tension, such that we have a droplet of the minority phase moving inside a turbulent background of the majority phase. Our study reveals that a single droplet, whose mean radius lies in the inertial range of scales, (a) enhances the the forward-cascade part of the energy spectrum of two-dimensional turbulence and (b) stretches the tails of the PDF of the Okubo-Weiss parameter �. We show that the dynamics of the droplet is affected significantly by the turbulence in the fluid. In particular, the PDFs of the components of the acceleration shows wide, non-Guassian tails. We characterize the time dependence of the deformation of the droplet and show that it exhibits multifractality. © TU Delft.

Item Type:	Conference Paper
Publication:	Proceedings - 15th European Turbulence Conference, ETC 2015
Publisher:	TU Delft
Additional Information:	cited By 0; Conference of 15th European Turbulence Conference, ETC 2015 ; Conference Date: 25 August 2015 Through 28 August 2015; Conference Code:157595
Keywords:	Air; Binary mixtures; Drag; Drop breakup; Turbulence, Binary fluid mixtures; Cahn-hilliard-navier-stokes; Droplet dynamics; Inertial ranges; Isotropic turbulence; Multi fractals; Multifractality; Time dependence, Navier Stokes equations
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	30 Sep 2020 06:29
Last Modified:	30 Sep 2020 06:29
URI:	http://eprints.iisc.ac.in/id/eprint/64928

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