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Chaotic variations in flow speed up mixing of scalar fields via intensified stirring. This paper addresses the statistical properties of a passive scalar field mixing in a regular shear flow with random fluctuations against its background.…

Fluid Dynamics · Physics 2023-09-27 Nikolay A. Ivchenko , Vladimir V. Lebedev , Sergey S. Vergeles

The addition of suitable volume forces to the Navier-Stokes equation allows to simulate flows in the presence of a homogeneous shear. Because of the explicit form of the driving the flows are accessible to rigorous mathematical treatment…

Chaotic Dynamics · Physics 2014-11-18 Bruno Eckhardt , Andreas Dietrich , Arne Jachens , Joerg Schumacher

This paper presents a new theory of turbulent mixing in stirred reactors. The degree of homogeneity of a mixed fluid may be characterized by the Kolmogorov micro-scale. The smaller its value, the better homogeneity. The micro-scale scales…

Fluid Dynamics · Physics 2016-04-26 Helmut Z. Baumert , Bernhard Wessling

We compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al., Theor. Comp. Fluid. Dyn., vol. 8, pp 1-35, 1996) with Direct Numerical Simulation (DNS) data of a shear-free mixing layer (SFML)…

Fluid Dynamics · Physics 2016-08-03 Andrew D. Bragg , Susan Kurien , Timothy T. Clark

Phase separation between two fluids in two-dimensions is investigated by means of Direct Numerical Simulations of coupled Navier-Stokes and Cahn-Hilliard equations. We study the phase ordering process in the presence of an external stirring…

Chaotic Dynamics · Physics 2009-11-11 S. Berti , G. Boffetta , M. Cencini , A. Vulpiani

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

The mixing of binary fluids by stirrers is a commonplace procedure in many industrial and natural settings, and mixing efficiency directly translates into more homogeneous final products, more enriched compounds, and often substantial…

Fluid Dynamics · Physics 2022-08-12 Maximilian F. Eggl , Peter J. Schmid

We analyze the transport properties of a low density ensemble of identical macroscopic particles immersed in an active fluid. The particles are modeled as inelastic hard spheres (granular gas). The non-homogeneous active fluid is modeled by…

Soft Condensed Matter · Physics 2017-10-17 Francisco Vega Reyes , Antonio Lasanta

By means of high-resolution numerical simulations, we compare the statistical properties of homogeneous and isotropic turbulence to those of the Navier-Stokes equation where small-scale vortex filaments are strongly depleted, thanks to a…

Fluid Dynamics · Physics 2020-03-04 Michele Buzzicotti , Luca Biferale , Federico Toschi

We solve the advection-diffusion equation for a stochastically stationary passive scalar $\theta$, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest…

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

When a planar shock wave interacts with a random pattern of pre-shock density non-uniformities, it generates an anisotropic turbulent velocity/vorticity field. This turbulence plays an important role at the early stages of the mixing…

Fluid Dynamics · Physics 2015-05-19 Cesar Huete Ruiz de Lira

The compressibility and heat of reaction influence on the scalar mixing in decaying isotropic turbulence and homogeneous shear flow are examined via data generated by direct numerical simulations (DNS). The reaction is modeled as one-step,…

Fluid Dynamics · Physics 2007-05-23 Daniel Livescu , Cyrus K. Madnia

We demonstrate the utility of the bispectrum, the Fourier three-point correlation function, for studying driving scales of magnetohydrodynamic (MHD) turbulence in the interstellar medium. We calculate the bispectrum by implementing a…

Astrophysics of Galaxies · Physics 2022-05-25 Michael J. O'Brien , Blakesley Burkhart , Michael J. Shelley

Mixing of binary fluids by moving stirrers is a commonplace process in many industrial applications, where even modest improvements in mixing efficiency could translate into considerable power savings or enhanced product quality. We propose…

Fluid Dynamics · Physics 2020-07-27 Maximilian F. Eggl , Peter J. Schmid

The turbulent energy cascade in dilute polymers solution is addressed here by considering a direct numerical simulation of homogeneous isotropic turbulence of a FENE-P fluid in a triply periodic box. On the basis of the DNS data, a scale by…

Chaotic Dynamics · Physics 2007-05-23 E. De Angelis , C. M. Casciola , R. Benzi , R. Piva

Variable-density mixing in shock bubble interaction, a canonical flow of Richtermyer-Meshkov instability, is studied by the high-resolution simulation. While the dissipation mainly controls the passive scalar mixing rate, an objective…

Fluid Dynamics · Physics 2021-06-30 Bin Yu , Haoyang Liu , Hong Liu

This study uses a combination of stochastic optimization, statistical mechanical theory, and molecular simulation to test the extent to which the long-time dynamics of a single tracer particle can be enhanced by rationally modifying its…

Soft Condensed Matter · Physics 2011-11-24 James Carmer , Gaurav Goel , Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

Many key environmental, industrial, and energy processes rely on controlling fluid transport within subsurface porous media. These media are typically structurally heterogeneous, often with vertically-layered strata of distinct…

Fluid Dynamics · Physics 2022-07-13 Christopher A. Browne , Richard B. Huang , Callie W. Zheng , Sujit S. Datta

A passive scalar is advected by a velocity field, with a nonuniform spatial source that maintains concentration inhomogeneities. For example, the scalar could be temperature with a source consisting of hot and cold spots, such that the mean…

Fluid Dynamics · Physics 2007-12-12 Jean-Luc Thiffeault , G. A. Pavliotis

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