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Rayleigh-B\'enard convection in the turbulent regime is studied using statistical methods. Exact evolution equations for the probability density function of temperature and velocity are derived from first principles within the framework of…

流体动力学 · 物理学 2011-03-04 J. Lülff , M. Wilczek , R. Friedrich

Measurements of wall shear-stress fluctuations on very long timescales ($\ge$ 1900 free-fall time units) are reported for turbulent Rayleigh-Benard (RB) convection in air at the heated bottom plate of a RB cell, 2.5 m in diameter and 2.5 m…

流体动力学 · 物理学 2019-01-23 Christoph Bruecker , Ronald Du Puits

Turbulent superstructures, i.e. large-scale flow structures in turbulent flows, play a crucial role in many geo- and astrophysical settings. In turbulent Rayleigh-B\'{e}nard convection, for example, horizontally extended coherent…

流体动力学 · 物理学 2020-03-30 Gerrit Green , Dimitar G. Vlaykov , Juan Pedro Mellado , Michael Wilczek

The dependence of the statistics of energy dissipation on the Reynolds number is investigated in an experimental jet flow. In a range of about one decade of $Re_{\lambda}$ (from about 200 to 2000) the adimensional mean energy dissipation is…

混沌动力学 · 物理学 2009-11-07 G. Boffetta , G. P. Romano

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

If a fluid flow is driven by a weak Gaussian random force, the nonlinearity in the Navier-Stokes equations is negligibly small and the resulting velocity field obeys Gaussian statistics. Nonlinear effects become important as the driving…

流体动力学 · 物理学 2018-10-01 Jörg Schumacher , Ambrish Pandey , Victor Yakhot , Katepalli R. Sreenivasan

A fluctuation law of the energy in freely-decaying, homogeneous and isotropic turbulence is derived within standard closure hypotheses for 3D incompressible flow. In particular, a fluctuation-dissipation relation is derived which relates…

chao-dyn · 物理学 2009-10-28 Gregory L. Eyink

We present high-resolution direct numerical simulation studies of turbulent Rayleigh-Benard convection in a closed cylindrical cell with an aspect ratio of one. The focus of our analysis is on the finest scales of convective turbulence, in…

流体动力学 · 物理学 2013-12-04 Janet D. Scheel , Mohammad S. Emran , Joerg Schumacher

It is shown that homogeneous Rayleigh-Benard flow, i.e., Rayleigh-Benard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature field by a mean gradient, has a family of exact, exponentially…

混沌动力学 · 物理学 2007-05-23 E. Calzavarini , C. R. Doering , J. D. Gibbon , D. Lohse , A. Tanabe , F. Toschi

We study turbulent Rayleigh-B\'enard convection through direct numerical simulations in a three-dimensional plane layer of aspect ratio 4 for Rayleigh numbers $10^5 \leq Ra \leq 10^{11}$ and Prandtl number $Pr=0.7$. We summarize the…

流体动力学 · 物理学 2025-12-30 Roshan J. Samuel , Jörg Schumacher

Turbulent Rayleigh-Benard convection with phase changes in an extended layer between two parallel impermeable planes is studied by means of three-dimensional direct numerical simulations for Rayleigh numbers between 10^4 and 1.5\times 10^7…

流体动力学 · 物理学 2012-07-27 Thomas Weidauer , Joerg Schumacher

Rayleigh-B\'enard convection, i.e. the flow of a fluid between two parallel plates that is driven by a temperature gradient, is an idealised setup to study thermal convection. Of special interest are the statistics of the turbulent…

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

The Rayleigh (Ra) and Prandtl (Pr) number scaling of the Nusselt number Nu, the Reynolds number Re, the temperature fluctuations, and the kinetic and thermal dissipation rates is studied for (numerical) homogeneous Rayleigh-Benard…

混沌动力学 · 物理学 2007-05-23 Enrico Calzavarini , Detlef Lohse , Federico Toschi , Raffaele Tripiccione

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 presence of nonlocal interactions and intermittent signals in the homogeneous isotropic turbulence grant multi-point statistical functions a key role in formulating a new generation of large-eddy simulation (LES) models of higher…

流体动力学 · 物理学 2023-06-22 Mehdi Samiee , Ali Akhavan-Safaei , Mohsen Zayernouri

A data-driven turbulence model for coarse-grained numerical simulations of two-dimensional Rayleigh-B\'enard convection is proposed. The model starts from high-fidelity data and is based on adjusting the Fourier coefficients of the…

流体动力学 · 物理学 2024-02-08 Sagy Ephrati , Paolo Cifani , Bernard Geurts

The transition to turbulence in Rayleigh-Benard convection with phase changes and the resulting convective patterns are studied in a three-dimensional Galerkin model. Our study is focused to the conditionally unstable regime of moist…

流体动力学 · 物理学 2011-10-10 Thomas Weidauer , Olivier Pauluis , Joerg Schumacher

Lagrangian properties obtained from a Particle Tracking Velocimetry experiment in a turbulent flow at intermediate Reynolds number are presented. Accurate sampling of particle trajectories is essential in order to obtain the Lagrangian…

流体动力学 · 物理学 2015-05-13 Jacob Berg , Soren Ott , Jakob Mann , Beat Luthi

Turbulent signals are known to exhibit burst-like activities, which affect the turbulence statistics at both large and small scales of the flow. In our study, we pursue this problem from the perspective of an event-based framework, where…

流体动力学 · 物理学 2023-01-26 Subharthi Chowdhuri , Tirtha Banerjee
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