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We investigate the dispersion of a passive scalar such as the concentration of a chemical species, or temperature, in homogeneous bubbly suspensions, by determining an effective diffusivity tensor. Defining the longitudinal and transverse…

Fluid Dynamics · Physics 2023-01-03 Aurore Loisy , Aurore Naso , Peter D. M. Spelt

Passive scalars in turbulent channel flows are investigated as canonical problem for heat and mass transfer in turbulent boundary-layer flows. The one-dimensional turbulence model is used to numerically investigate the Schmidt and Reynolds…

Fluid Dynamics · Physics 2020-11-11 Marten Klein , Heiko Schmidt

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

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

The turbulent diffusivity tensor is determined for linear shear flow turbulence using numerical simulations. For moderately strong shear, the diagonal components are found to increase quadratically with Peclet and Reynolds numbers below…

Solar and Stellar Astrophysics · Physics 2014-11-20 Eniko J. M. Madarassy , Axel Brandenburg

Turbulent flows are known to produce enhanced effective magnetic and passive scalar diffusivities, which can fairly accurately be determined with numerical methods. It is now known that, if the flow is also helical, the effective magnetic…

Fluid Dynamics · Physics 2025-05-02 Axel Brandenburg , Petri J. Käpylä , Igor Rogachevskii , Nobumitsu Yokoi

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

We use direct numerical simulations to compute structure functions, scaling exponents, probability density functions and turbulent transport coefficients of passive scalars in turbulent rotating helical and non-helical flows. We show that…

Fluid Dynamics · Physics 2017-03-15 P. Rodriguez Imazio , P. D. Mininni

Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration variations in the presence of inhomogeneous…

Fluid Dynamics · Physics 2010-11-08 Zhi Lin , Katarína Bodová , Charles R. Doering

Certain aspects of the mean-field theory of turbulent passive scalar transport and of mean-field electrodynamics are considered with particular emphasis on aspects of compressible fluids. It is demonstrated that the total mean-field…

Astrophysics of Galaxies · Physics 2015-03-19 Karl-Heinz Rädler , Axel Brandenburg , Fabio Del Sordo , Matthias Rheinhardt

The effect of oscillatory shear flows on turbulent transport of passive scalar fields is studied by numerical computations based on the results provided by E. Kim [\emph{Physics of Plasmas}, {\bf 13}, 022308, 2006]. Turbulent diffusion is…

Plasma Physics · Physics 2009-11-13 A. P. L. Newton , E. Kim

Three-dimensional turbulence simulations are used to show that the turbulent root mean square velocity is an upper bound of the speed of turbulent diffusion. There is a close analogy to magnetic diffusion where the maximum diffusion speed…

Fluid Dynamics · Physics 2007-05-23 Axel Brandenburg , Petri Käpylä , Amjed Mohammed

Various approaches to estimate turbulent transport coefficients from numerical simulations of hydromagnetic turbulence are discussed. A quantitative comparison between the averaged magnetic field obtained from a specific three-dimensional…

Astrophysics · Physics 2009-11-07 Axel Brandenburg , Dmitry Sokoloff

The dispersion of a passive scalar by wall turbulence, in the limit of infinite Peclet number, is analyzed using frozen velocity fields from the DNS by our group. The Lagrangian trajectories of fluid particles in those fields are integrated…

Fluid Dynamics · Physics 2013-09-11 Juan C. del Alamo , Javier Jimenez

We consider a passive scalar field under the action of pumping, diffusion and advection by a smooth flow with a Lagrangian chaos. We present theoretical arguments showing that scalar statistics is not conformal invariant and formulate new…

Mathematical Physics · Physics 2012-10-23 Marija Vucelja , Gregory Falkovich , Konstantin S. Turitsyn

We investigate the value of horizontal turbulent diffusivity {\eta} by numerical calculation of thermal convection. In this study, we introduce a new method whereby the turbulent diffusivity is estimated by monitoring the time devel- opment…

Solar and Stellar Astrophysics · Physics 2015-06-04 H. Hotta , Y. Iida , T. Yokoyama

Passive scalar mixing (metals, molecules, etc.) in the turbulent interstellar medium (ISM) is critical for abundance patterns of stars and clusters, galaxy and star formation, and cooling from the circumgalactic medium. However, the…

Astrophysics of Galaxies · Physics 2017-03-22 Matthew J. Colbrook , Xiangcheng Ma , Philip F. Hopkins , Jonathan Squire

We investigate statistical properties of the passive scalar near boundaries (walls) in random (turbulent) flows assuming weakness of its diffusion. Then at advanced stages of the passive scalar mixing its unmixed residue is concentrated in…

Chaotic Dynamics · Physics 2015-03-13 A. Chernykh , V. Lebedev

Large-eddy simulations are conducted to contrast momentum and passive scalar transport over large, three-dimensional roughness elements in a turbulent channel flow. Special attention is given to the dispersive fluxes, which are shown to be…

Fluid Dynamics · Physics 2019-10-09 Qi Li , Elie Bou-Zeid

We study the effective diffusion constant of a Brownian particle linearly coupled to a thermally fluctuating scalar field. We use a path integral method to compute the effective diffusion coefficient perturbatively to lowest order in the…

Statistical Mechanics · Physics 2011-12-30 V. Démery , D. S. Dean
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