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Turbulence is an out-of-equilibrium flow state that is characterised by nonzero net fluxes of kinetic energy between different scales of the flow. These fluxes play a crucial role in the formation of characteristic flow structures in many…

流体动力学 · 物理学 2026-02-04 Youri H. Lemm , Xander M. de Wit , Rudie P. J. Kunnen

One prominent feature in the atmospheres of Jupiter and Saturn is the appearance of large-scale vortices. However, the sustaining mechanism of these large-scale vortices remains unclear. One possible mechanism is that these large-scale…

流体动力学 · 物理学 2021-09-30 Tao Cai

A detailed study of the Rayleigh-B\'enard convection in two-dimensions with free-slip boundaries is presented. Pseudo-spectral method has been used to numerically solve the system for Rayleigh number up to $3.3 \times 10^7$. The system…

流体动力学 · 物理学 2009-04-21 Supriyo Paul , Pankaj K. Mishra , Mahendra K. Verma , Krishna Kumar

The geostrophic turbulence in rapidly rotating thermal convection exhibits characteristics shared by many highly turbulent geophysical and astrophysical flows. In this regime, the convective length and velocity scales, heat flux, and…

流体动力学 · 物理学 2023-05-01 Jiaxing Song , Olga Shishkina , Xiaojue Zhu

Inclined turbulent thermal convection by large Rayleigh numbers in extremely small-Prandtl-number fluids is studied based on results of both, measurements and high-resolution numerical simulations. The Prandtl number $Pr\approx0.0093$…

We present results for entropy and kinetic energy spectra computed from direct numerical simulations for low-Prandtl-number ($Pr < 1$) turbulent flow in Rayleigh-B\'{e}nard convection with uniform rotation about a vertical axis. The…

流体动力学 · 物理学 2014-02-17 Hirdesh K. Pharasi , Krishna Kumar , Jayanta K. Bhattacharjee

We investigate by direct numerical simulation Rayleigh-B\'enard convection in a rotating rectangular cell with rotation vector and gravity perpendicular to each other. The flow is two dimensional near the onset of convection with convection…

流体动力学 · 物理学 2022-05-12 K. Lüdemann , A. Tilgner

Rayleigh-Benard convection in a rotating spherical shell provides a simplified model for convective dynamics of planetary and stellar interiors. In this study, we build more than 200 numerical models of rotating convection in a spherical…

流体动力学 · 物理学 2025-08-14 Wei Fan , Qi Wang , Yufeng Lin

Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate in both experiments and simulations. This is particularly so for very low molecular Prandtl numbers as in stellar…

流体动力学 · 物理学 2022-09-09 Ambrish Pandey , Dmitry Krasnov , Katepalli R. Sreenivasan , Jörg Schumacher

Direct Numerical Simulations of turbulent convection in a large aspect-ratio box are carried out in the range of Rayleigh number $7 \times 10^4 \le Ra \le 2 \times 10^6$ at Prandtl number Pr=0.71. A strong correlation between the vertical…

流体动力学 · 物理学 2017-08-09 Arnab K. De , Vinayak Eswaran , Pankaj K. Mishra

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

The kinetic energy balance in Rayleigh--B\'{e}nard convection is investigated for the Prandtl number range $0.01\le Pr \le 150$ and for fixed Rayleigh number $Ra=5\cdot10^{6}$. The kinetic energy balance is divided into a dissipation, a…

流体动力学 · 物理学 2023-07-19 Klaus Petschel , Stephan Stellmach , Michael Wilczek , Johannes Lülff , Ulli Hansen

We consider rotating Rayleigh-B\'enard convection of a fluid with a Prandtl number of $Pr = 0.8$ in a cylindrical cell with an aspect ratio $\Gamma = 1/2$. Direct numerical simulations were performed for the Rayleigh number range $10^5 \leq…

流体动力学 · 物理学 2015-06-19 Susanne Horn , Olga Shishkina

We analyse the results of direct numerical simulations of rotating convection in spherical shell geometries with stress-free boundary conditions, which develop strong zonal flows. Both the Ekman number and the Rayleigh number are varied. We…

流体动力学 · 物理学 2023-08-11 Justin A. Nicoski , Anne R. O'Connor , Michael A. Calkins

We investigate states of rapidly rotating Rayleigh-B\'enard convection in a cylindrical cell over a range of Rayleigh number $3\times10^5\leq Ra \leq 5\times10^{9}$ and Ekman number $10^{-6} \leq Ek \leq 10^{-4}$ for Prandtl number $Pr =…

流体动力学 · 物理学 2024-04-16 Xuan Zhang , Philipp Reiter , Olga Shishkina , Robert E. Ecke

The dynamics of heat transfer in a model system of Rayleigh-B\'enard (RB) convection reduced to its essential, here dubbed Burgers-Rayleigh-B\'enard (BRB), is studied. The system is spatially one-dimensional, the flow field is compressible…

流体动力学 · 物理学 2023-07-04 Enrico Calzavarini , Silvia C. Hirata

Previous numerical studies on homogeneous Rayleigh-B\'enard convection, which is Rayleigh-B\'enard convection (RBC) without walls, and therefore without boundary layers, have revealed a scaling regime that is consistent with theoretical…

流体动力学 · 物理学 2018-06-22 Chong Shen Ng , Andrew Ooi , Detlef Lohse , Daniel Chung

We report an experimental investigation of turbulent Rayleigh-Benard convection in a rectangular cell of large aspect ratio ($\Gamma = 10$) over the Rayleigh number range $5.4\times10^7 \le Ra \le 7.2\times10^9$ and Prandtl number range…

流体动力学 · 物理学 2026-02-23 Yi-Zhen Li , Jun-Jie Huo , Xin Chen , Heng-Dong Xi

Weakly-rotating turbulent Rayleigh-Benard convection was studied experimentally and numerically. With increasing rotation and large enough Rayleigh number an abrupt transition from a turbulent state with nearly rotation-independent heat…

We present a framework to calculate the scale-resolved turbulent Prandtl number $Pr_t$ for the well-mixed and highly inertial bulk of a turbulent Rayleigh-B\'{e}nard mesoscale convection layer at a molecular Prandtl number $Pr=10^{-3}$. It…

流体动力学 · 物理学 2025-12-30 Shashwat Bhattacharya , Dmitry Krasnov , Ambrish Pandey , Toshiyuki Gotoh , Jörg Schumacher