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We present direct numerical simulations (DNS) of the mixing of the passive scalar at modest Reynolds numbers (10 =< R_\lambda =< 42) and Schmidt numbers larger than unity (2 =< Sc =< 32). The simulations resolve below the Batchelor scale up…

Chaotic Dynamics · Physics 2009-11-11 Joerg Schumacher , Katepalli R. Sreenivasan

The intermittency of a passive scalar advected by three-dimensional Navier-Stokes turbulence at a Taylor-scale Reynolds number of $650$ is studied using direct numerical simulations on a $4096^3$ grid; the Schmidt number is unity. By…

Fluid Dynamics · Physics 2019-01-02 Kartik P. Iyer , Jörg Schumacher , Katepalli R Sreenivasan , P K Yeung

We investigated the effects of Schmidt number on passive scalar transport in forced compressible turbulence. In the inertial-convective range the scalar spectrum followed the k^{-5/3} power law. For Sc >> 1, there appeared a k^{-1} power…

Fluid Dynamics · Physics 2015-06-11 Qionglin Ni

Recently, Shete et al. [Phys. Rev. Fluids 7, 024601 (2022)] explored the characteristics of passive scalars in the presence of a uniform mean gradient, mixed by stationary isotropic turbulence. They concluded that at high Reynolds and…

Fluid Dynamics · Physics 2023-09-06 Dhawal Buaria , Katepalli R. Sreenivasan

We derive an analytical solution for the one-point distribution of a passive scalar in decaying homogeneous turbulence, in the limit of strong turbulence (high Re, fixed Schmidt number). Velocity statistics are governed by the Euler…

Fluid Dynamics · Physics 2026-03-19 Alexander Migdal

Passive scalars advected by three-dimensional Navier-Stokes turbulence exhibit a fundamental anomaly in odd-order moments because of the characteristic ramp-cliff structures, violating small-scale isotropy. We use data from direct numerical…

Fluid Dynamics · Physics 2021-11-19 Dhawal Buaria , Matthew P. Clay , Katepalli R. Sreenivasan , P. K. Yeung

An efficient approach for extracting 3D local averages in spherical subdomains is proposed and applied to study the intermittency of small-scale velocity and scalar fields in direct numerical simulations of isotropic turbulence. We focus on…

Fluid Dynamics · Physics 2022-07-12 Dhawal Buaria , Katepalli R. Sreenivasan

The mixing of passive scalars of decreasing diffusivity, advected in each case by the same three-dimensional Navier-Stokes turbulence, is studied. The mixing becomes more isotropic with decreasing diffusivity. The local flow in the vicinity…

Chaotic Dynamics · Physics 2009-11-10 Joerg Schumacher , Katepalli R. Sreenivasan

The mixing of a passive scalar like lithium, beryllium or temperature fluctuations due to the magnetic Tayler instability of a rotating axial pinch is considered. Our study is carried out within a Taylor-Couette setup for two rotation laws:…

Solar and Stellar Astrophysics · Physics 2016-04-20 A. Paredes , M. Gellert , G. Rüdiger

Maxima of the scalar dissipation rate in turbulence appear in form of sheets and correspond to the potentially most intensive scalar mixing events. Their cross-section extension determines a locally varying diffusion scale of the mixing…

Chaotic Dynamics · Physics 2007-05-23 Dan Kushnir , Joerg Schumacher , Achi Brandt

Turbulent polymeric flows show strong deviations from Kolomogorov-like behaviour resulting from more complex dynamics compared to Newtonian turbulence. We now study the nature of mixing in polymeric turbulence via Eulerian passive scalar…

Fluid Dynamics · Physics 2026-04-14 Rahul K. Singh , Marco E. Rosti

We accomplish two major tasks. First, we show that the turbulent motion at large scales obeys Gaussian statistics in the interval 0 < Rlambda < 8.8, where Rlambda is the microscale Reynolds number, and that the Gaussian flow breaks down to…

Fluid Dynamics · Physics 2021-06-23 K. R. Sreenivasan , V. Yakhot

Based on the characteristics of the multi-scale and similarity at different scales in turbulent flow, we propose a scale decomposition for solving the turbulence problem of incompressible Newtonian fluid. The solution domain is decomposed…

Fluid Dynamics · Physics 2023-02-21 Shanwen Tan

A fundamental effect of fluid turbulence is turbulent mixing, which results in the stretching and wrinkling of scalar isosurfaces. Thus, the area of isosurfaces is of interest in understanding turbulence in general with specific…

Fluid Dynamics · Physics 2019-10-09 Kedar Prashant Shete , Stephen M. de Bruyn Kops

We describe the diffusion and random velocities of solid particles due to stochastic forcing by turbulent gas. We include the orbital dynamics of Keplerian disks, both in-plane epicycles and vertical oscillations. We obtain a new result for…

Astrophysics · Physics 2009-11-13 Andrew N. Youdin , Yoram Lithwick

We use direct numerical simulations to compute turbulent transport coefficients for passive scalars in turbulent rotating flows. Effective diffusion coefficients in the directions parallel and perpendicular to the rotations axis are…

Fluid Dynamics · Physics 2013-02-13 P. Rodriguez Imazio , P. D. Mininni

We demonstrate that at long times the rate of passive scalar decay in a turbulent, or simply chaotic, flow is dominated by regions (in real space or in inverse space) where mixing is less efficient. We examine two situations. The first is…

Chaotic Dynamics · Physics 2009-11-07 M. Chertkov , V. Lebedev

In many astrophysical environments, mixing of heavy elements occurs in the presence of a supersonic turbulent velocity field. Here we carry out the first systematic numerical study of such passive scalar mixing in isothermal supersonic…

Astrophysics of Galaxies · Physics 2015-05-19 Liubin Pan , Evan Scannapieco

The effects of turbulent dynamic range on scalar mixing in stably stratified turbulence are investigated by an adaptation of the theoretical passive scalar modelling arguments of Beguier et al. (1978) and demonstrated statistically using…

Fluid Dynamics · Physics 2022-04-05 G. D. Portwood , S. M. de Bruyn Kops , C. P. Caulfield

Passive scalar dynamics in wall-bounded turbulence is studied via Direct Numerical Simulations of plane channel flow, for a friction Reynolds number $Re_* = 160$ and a Schmidt number $Sc=1$. Peculiar to the present research is that the…

Fluid Dynamics · Physics 2015-03-17 Luca Galantucci , Maurizio Quadrio
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