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A model for the Reynolds number dependence of the dimensionless dissipation rate $C_{\varepsilon}$ was derived from the dimensionless K\'{a}rm\'{a}n-Howarth equation, resulting in $C_{\varepsilon}=C_{\varepsilon, \infty} + C/R_L +…

流体动力学 · 物理学 2015-04-22 W. D. McComb , A. Berera , S. R. Yoffe , M. F. Linkmann

The Reynolds number dependence of the dimensionless dissipation rate is derived directly from the Karman-Howarth equation in terms of the inverse of the integral scale Reynolds number and a coefficient which depends on the second- and…

流体动力学 · 物理学 2010-02-11 W. David McComb , Arjun Berera , Matthew Salewski , Samuel Yoffe

The Taylor-Reynolds and Reynolds number ($Re_\lambda$ and $Re$) dependence of the dimensionless energy dissipation rate $\ceps =\eps L / \u1rms^3$ is derived for statistically stationary isotropic turbulence, employing the results of a…

chao-dyn · 物理学 2009-10-22 Detlef Lohse

The normalized non-dimensional von K\'arm\'an-Howarth equation for isotropic homogeneous decaying and forced steady turbulence is integrated to obtain expressions for the dissipation rate coefficient $C_{\epsilon}=(L \epsilon)/< u^2…

流体动力学 · 物理学 2011-08-03 Philip Schaefer

The dimensionless kinetic energy dissipation rate C_epsilon is estimated from numerical simulations of statistically stationary isotropic box turbulence that is slightly compressible. The Taylor microscale Reynolds number Re_lambda range is…

It is shown that, for stationary isotropic turbulence, Taylor's well known surrogate for the dissipation can be derived directly from the Karman-Howarth equation and is in fact a surrogate for inertial transfer, which becomes equal to the…

流体动力学 · 物理学 2009-09-29 David McComb

A parallel pseudospectral code for the direct numerical simulation (DNS) of isotropic turbulence has been developed. The code has been extensively benchmarked using established results from literature. The code has been used to conduct a…

流体动力学 · 物理学 2013-06-17 Samuel R. Yoffe

Taylor-Couette (TC) flow is used to probe the hydrodynamical stability of astrophysical accretion disks. Experimental data on the subcritical stability of TC are in conflict about the existence of turbulence (cf. Ji et al. Nature, 444,…

流体动力学 · 物理学 2017-04-21 Rodolfo Ostilla Mónico , Roberto Verzicco , Siegfried Grossmann , Detlef Lohse

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

流体动力学 · 物理学 2007-10-29 Joerg Schumacher

An expression for the dimensionless dissipation rate was derived from the Karman-Howarth equation by asymptotic expansion of the second- and third- order structure functions in powers of the inverse Reynolds number. The implications of the…

流体动力学 · 物理学 2018-08-15 W. D. McComb , R. B. Fairhurst

Using direct numerical simulations of isotropic turbulence in periodic cubes of several sizes, the largest being $8192^3$ yielding a microscale Reynolds number of $1300$, we study the properties of pressure Laplacian to understand…

流体动力学 · 物理学 2019-05-22 Kartik P Iyer , Jörg Schumacher , Katepalli R Sreenivasan , P K Yeung

Direct numerical simulation is used to investigate the decay exponent of isotropic homogeneous turbulence over a range of Reynolds numbers sufficient to display both high and low Re number decay behavior. The initial turbulence is generated…

流体动力学 · 物理学 2010-07-29 J. Blair Perot

It is shown that a mechanism of energy redistribution and dissipation by the inertial waves can be effectively utilized in isotropic turbulence at small Reynolds numbers (when the nonlocal interactions are the dominating ones). This…

混沌动力学 · 物理学 2008-12-22 A. Bershadskii

The normalized turbulent dissipation rate $C_\epsilon$ is studied in decaying and forced turbulence by direct numerical simulations, large-eddy simulations, and closure calculations. A large difference in the values of $C_\epsilon$ is…

经典物理 · 物理学 2007-12-18 Wouter J. T. Bos , L. Shao , Jean-Pierre Bertoglio

From DNS of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 < R{\lambda}(0) < 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds…

流体动力学 · 物理学 2018-10-24 S. R. Yoffe , W. D. McComb

The Reynolds number dependence of the statistics of energy dissipation is investigated in a shell model of fully developed turbulence. The results are in agreement with a model which accounts for fluctuations of the dissipative scale with…

chao-dyn · 物理学 2009-10-31 G. Boffetta , A. Celani , D. Roagna

We provide experimental measurements for the effective scaling of the Taylor-Reynolds number within the bulk $\text{Re}_{\lambda,\text{bulk}}$, based on local flow quantities as a function of the driving strength (expressed as the Taylor…

流体动力学 · 物理学 2018-02-14 Rodrigo Ezeta , Sander G. Huisman , Chao Sun , Detlef Lohse

A popular method of forcing the fluid in Direct Numerical Simulations of turbulence is to take the body force proportional to the projection of the velocity of the fluid onto its lowest Fourier modes, while keeping the injected external…

流体动力学 · 物理学 2007-05-23 Charles R. Doering , Nikola P. Petrov

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 2048^3 regularly spaced points, with a Taylor Reynolds number of Re~1300. The forcing is given by the Taylor-Green flow, which shares…

流体动力学 · 物理学 2009-11-13 P. D. Mininni , A. Alexakis , A. Pouquet

This paper examines the behavior of the dimensionless dissipation rate $C_{\varepsilon}$ for stationary and nonstationary magnetohydrodynamic (MHD) turbulence in presence of external forces. By combining with previous studies for freely…

流体动力学 · 物理学 2017-01-05 Moritz Linkmann , Arjun Berera , Erin E. Goldstraw
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