scholarly journals Turbulent thermal diffusion in strongly stratified turbulence: Theory and experiments

2017 ◽  
Vol 2 (6) ◽  
Author(s):  
G. Amir ◽  
N. Bar ◽  
A. Eidelman ◽  
T. Elperin ◽  
N. Kleeorin ◽  
...  
Keyword(s):  
Thermal Diffusion ◽  
Turbulence Theory ◽  
Stratified Turbulence ◽  
Theory And Experiments

Bloch-front turbulence: theory and experiments

2005 ◽  
Vol 356 (1) ◽  
pp. 88-94 ◽  
Author(s):  
Aric Hagberg ◽  
Bradley Marts ◽  
Anna L. Lin ◽  
Ehud Meron
Keyword(s):  
Turbulence Theory ◽  
Theory And Experiments

Fractal geometry of isoscalar surfaces in turbulence: Theory and experiments

1991 ◽  
Vol 67 (13) ◽  
pp. 1739-1742 ◽  
Author(s):  
Petre Constantin ◽  
Itamar Procaccia ◽  
K. R. Sreenivasan
Keyword(s):  
Fractal Geometry ◽  
Turbulence Theory ◽  
Theory And Experiments

scholarly journals Turbulent density and pressure fluctuations in the stratified intracluster medium

2020 ◽  
Vol 500 (4) ◽  
pp. 5072-5087
Author(s):  
Rajsekhar Mohapatra ◽  
Christoph Federrath ◽  
Prateek Sharma
Keyword(s):  
Surface Brightness ◽  
Isotropic Turbulence ◽  
Pressure Fluctuations ◽  
Density Fluctuations ◽  
Turbulence Theory ◽  
Intracluster Medium ◽  
Stratified Turbulence ◽  
Hydrodynamic Simulations ◽  
Pressure Scale ◽  
Parameter Ranges

ABSTRACT Turbulent gas motions are observed in the intracluster medium (ICM). The ICM is density-stratified, with the gas density being highest at the centre of the cluster and decreasing radially outwards. As a result of this, Kolmogorov (homogeneous, isotropic) turbulence theory does not apply to the ICM. The gas motions are instead explained by anisotropic stratified turbulence, with the stratification quantified by the perpendicular Froude number (Fr⊥). These turbulent motions are associated with density and pressure fluctuations, which manifest as perturbations in X-ray surface brightness maps of the ICM and as thermal Sunyaev–Zeldovich effect (SZ) fluctuations, respectively. In order to advance our understanding of the relations between these fluctuations and the turbulent gas velocities, we have conducted 100 high-resolution hydrodynamic simulations of stratified turbulence (2562 × 384–10242 × 1536 resolution elements), in which we scan the parameter space of subsonic rms Mach number ($\mathcal {M}$), Fr⊥, and the ratio of entropy and pressure scale heights (RPS = HP/HS), relevant to the ICM. We develop a new scaling relation between the standard deviation of logarithmic density fluctuations (σs, where s = ln (ρ/$\langle$ρ$\rangle$)), $\mathcal {M}$, and Fr⊥, which covers both the strongly stratified (Fr⊥ ≪ 1) and weakly stratified (Fr⊥ ≫ 1) turbulence regimes: $\sigma _{\rm s}^2=\ln (1+b^2\mathcal {M}^4+0.10/(\mathrm{Fr}_\perp +0.25/\sqrt{\mathrm{Fr}_\perp })^2\mathcal {M}^2R_{\rm PS})$, where b ∼ 1/3 for solenoidal turbulence driving studied here. We further find that logarithmic pressure fluctuations σ(ln P/ < P >) are independent of stratification and scale according to the relation $\sigma _{(\ln {\bar{P}})}^2=\ln (1+b^2\gamma ^2\mathcal {M}^4)$, where $\bar{P}=P/\left\langle P \right\rangle $ and γ is the adiabatic index of the gas. We have tested these scaling relations to be valid over the parameter ranges $\mathcal {M} = 0.01$–0.40, Fr⊥ = 0.04–10.0, and RPS = 0.33–2.33.

scholarly journals Clustering of settling charged particles in turbulence: theory and experiments

2010 ◽  
Vol 12 (12) ◽  
pp. 123030 ◽  
Author(s):  
Jiang Lu ◽  
Hansen Nordsiek ◽  
Raymond A Shaw
Keyword(s):  
Charged Particles ◽  
Turbulence Theory ◽  
Theory And Experiments

Thermal diffusion in hydrogen-helium mixtures

1963 ◽  
Vol 60 ◽  
pp. 172-177 ◽  
Author(s):  
C. J. G. Slieker ◽  
A. E. de Vries
Keyword(s):  
Thermal Diffusion ◽  
Helium Mixtures
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