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We examine thermal convection in a two-dimensional annulus using fully resolved direct numerical simulation (DNS) in conjunction with a low-dimensional model deriving from Galerkin truncation of the governing Navier-Stokes Boussinesq (NSB)…

Fluid Dynamics · Physics 2023-07-27 Jinzi Mac Huang , Nicholas J. Moore

A model for the large-scale circulation (LSC) dynamics of turbulent Rayleigh-Benard convection is presented. It consists of two stochastic ordinary differential equations motivated by the Navier-Stokes equation, one each for the strength…

Fluid Dynamics · Physics 2007-05-23 Eric Brown , Guenter Ahlers

Large-scale circulation (LSC) quasi-stably emerges in the turbulent Rayleigh-B\'{e}nard convection, and intermittently reverses its rotational direction in two-dimensional turbulent convection. In this paper, direct numerical simulations of…

Fluid Dynamics · Physics 2025-05-06 Daigaku Katsumi , Masanobu Inubushi , Naoto Yokoyama

Previously we published a dynamical model (E. Brown and G. Ahlers, Phys. Fluids, 20, 075101 (2008)) for the large-scale-circulation (LSC) dynamics of Rayleigh-Benard convection in cylindrical containers. The model consists of a pair of…

Fluid Dynamics · Physics 2009-11-13 Eric Brown , Guenter Ahlers

We present a numerical study of the reversals and reorientations of the large scale circulation (LSC) of convective fluid in a cylindrical container of aspect ratio one. We take Prandtl number to be 0.7 and Rayleigh numbers in the range…

Fluid Dynamics · Physics 2011-02-14 Pankaj Kumar Mishra , Arnab De , Mahendra K. Verma , V. Eswaran

It is shown that the Truncated Euler Equations, i.e. a finite set of ordinary differential equations for the amplitude of the large-scale modes, can correctly describe the complex transitional dynamics that occur within the turbulent regime…

Chaotic Dynamics · Physics 2016-12-07 Vishwanath Shukla , Stephan Fauve , Marc Brachet

We analyze the reversals of the large scale flow in Rayleigh-B\'enard convection both through particle image velocimetry flow visualization and direct numerical simulations (DNS) of the underlying Boussinesq equations in a (quasi)…

Based on direct numerical simulations and symmetry arguments, we show that the large-scale Fourier modes are useful tools to describe the flow structures and dynamics of flow reversals in Rayleigh-B\'enard convection (RBC). We observe that…

Chaotic Dynamics · Physics 2015-05-27 Mani Chandra , Mahendra K. Verma

We present a direct numerical simulation to investigate the dynamics and statistics of reorientations of large-scale circulation (LSC) in turbulent rotating Rayleigh-B\'{e}nard convection (RRBC) for air ($Pr=0.7$) contained in a cylindrical…

Fluid Dynamics · Physics 2019-06-26 Venugopal T Vishnu , Arnab Kumar De , Pankaj Kumar Mishra

Heat transfer in a fluid can be greatly enhanced by natural convection, giving rise to the nuanced relationship between the Nusselt number and Rayleigh number that has been a focus of modern fluid dynamics. Our work explores convection in…

Fluid Dynamics · Physics 2025-07-24 Yuejia Zhang , Nicholas J. Moore , Jinzi Mac Huang

Experimental measurements of properties of the large-scale circulation (LSC) in turbulent convection of a fluid heated from below in a cylindrical container of aspect ratio one are presented and used to test a model of diffusion in a…

Fluid Dynamics · Physics 2009-11-13 Eric Brown , Guenter Ahlers

In agreement with a recent experimental discovery by Xia et. al. (2009), we also find a sloshing mode in experiments on the large-scale circulation (LSC) of turbulent Rayleigh-Benard convection in a cylindrical sample of aspect ratio one.…

Fluid Dynamics · Physics 2015-05-13 Eric Brown , Guenter Ahlers

The fully developed turbulent Boussinesq convection is known to form large-scale rolls, often termed the 'large-scale circulation' (LSC). It is an interesting question how such a large-scale flow is created, in particular in systems when…

Fluid Dynamics · Physics 2022-06-06 Krzysztof A. Mizerski

We present a numerical study of the flow states and reversals of the large-scale circulation (LSC) in a two-dimensional circular Rayleigh-B\'enard cell. Long-time direct numerical simulations are carried out in the Rayleigh number ($Ra$)…

Fluid Dynamics · Physics 2021-01-19 Ao Xu , Xin Chen , Heng-Dong Xi

We test the ability of a low-dimensional turbulence model to predict how dynamics of large-scale coherent structures such as convection rolls change in different cell geometries. We performed Rayleigh-B\'enard convection experiments in a…

Fluid Dynamics · Physics 2020-07-01 Dandan Ji , Eric Brown

We present an experimental investigation of the dynamics and flow-coupling of convective turbulent flows in a cylindrical Rayleigh-Benard convection cell with two immiscible fluids, water and fluorinert FC-77 electronic liquid (FC77). It is…

Fluid Dynamics · Physics 2015-11-17 Yi-Chao Xie , Ke-Qing Xia

A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empirical eigenfunctions, is presented. The…

Fluid Dynamics · Physics 2011-08-30 Jorge Bailon-Cuba , Joerg Schumacher

We studied the properties of the large-scale circulation (LSC) in turbulent Rayleigh-B\'enard (RB) convection by using results from direct numerical simulations in which we placed a large number of numerical probes close to the sidewall.…

Fluid Dynamics · Physics 2011-12-05 Richard J. A. M. Stevens , Herman J. H. Clercx , Detlef Lohse

In turbulent Rayleigh-Benard convection, a large-scale circulation (LSC) develops in a nearly vertical plane, and is maintained by rising and falling plumes detaching from the unstable thermal boundary layers. Rare but large fluctuations in…

Fluid Dynamics · Physics 2015-05-28 Michael Assaf , Luiza Angheluta , Nigel Goldenfeld

We present a direct numerical simulation on the dynamics of large-scale circulation (LSC) of turbulent Rayleigh-B\'enard convection of air (Pr = 0.7) contained in a cubic cell for Rayleigh number range 2X10^6 < Ra < 10^9 . The strength and…

Fluid Dynamics · Physics 2019-09-25 V. T. Vishnu , A. K. De , P. K. Mishra
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