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The dependence of the heat transfer, as measured by the nondimensional Nusselt number $Nu$, on Ekman pumping for rapidly rotating Rayleigh-B\'enard convection in an infinite plane layer is examined for fluids with Prandtl number $Pr = 1$. A…

流体动力学 · 物理学 2017-09-13 Meredith Plumley , Keith Julien , Philippe Marti , Stephan Stellmach

Penetrative turbulent Rayleigh-B\'enard convection which depends on the density maximum of water near $4^\circ\rm{C}$ is studied using two-dimensional (2D) and three-dimensional (3D) direct numerical simulations (DNS). The working fluid is…

流体动力学 · 物理学 2019-06-26 Qi Wang , Quan Zhou , Zhen-Hua Wan , De-Jun Sun

We present high-precision experimental and numerical studies of the Nusselt number $Nu$ as functions of the Rayleigh number $Ra$ in geostrophic rotating convection with domain aspect ratio ${\Gamma}$ varying from 0.4 to 3.8 and the Ekman…

流体动力学 · 物理学 2021-08-04 Hao-Yuan Lu , Guang-Yu Ding , Jun-Qiang Shi , Ke-Qing Xia , Jin-Qiang Zhong

We describe three apparatus, known as the large, medium, and small apparatus, used for high-precision measurements of the Nusselt number N as a function of the Rayleigh number R for cylindrical samples of fluid and present results…

流体动力学 · 物理学 2009-11-11 Eric Brown , Alexei Nikolaenko , Denis Funfschilling , Guenter Ahlers

To understand how internal flow structures manifest themselves in the global heat transfer, we study the correlation between different flow modes and the instantaneous Nusselt number ($Nu$) in a two-dimensional square Rayleigh-B\'enard…

流体动力学 · 物理学 2020-10-09 Ao Xu , Xin Chen , Feng Wang , Heng-Dong Xi

Laboratory experiments were conducted to study heat transport characteristics in a nonhomogeneously heated fluid annulus subjected to rotation along the vertical axis (z). The nonhomogeneous heating was obtained by imposing radial and…

We report experimental results for the influence of a tilt angle beta relative to gravity on turbulent Rayleigh-Benard convection of cylindrical samples. The measurements were made at Rayleigh numbers R up to 10^11 with two samples of…

流体动力学 · 物理学 2009-11-11 Guenter Ahlers , Eric Brown , Alexei Nikolaenko

We report experimental measurements of heat transport in rotating Rayleigh-B{\'e}nard convection in a cylindrical convection cell with aspect ratio $\Gamma = 1/2$. The fluid was helium gas with Prandtl number Pr = 0.7. The range of control…

流体动力学 · 物理学 2015-06-17 Robert E. Ecke , Joseph J. Niemela

We report the observation of superstructures, i.e.\ very large-scale and long living coherent structures in highly turbulent Rayleigh-B\'enard convection up to Rayleigh $Ra=10^9$. We perform direct numerical simulations in horizontally…

流体动力学 · 物理学 2018-04-09 Richard J. A. M. Stevens , Alexander Blass , Xiaojue Zhu , Roberto Verzicco , Detlef Lohse

Results from direct numerical simulation for three-dimensional Rayleigh-B\'enard convection in samples of aspect ratio $\Gamma=0.23$ and $\Gamma=0.5$ up to Rayleigh number $Ra=2\times10^{12}$ are presented. The broad range of Prandtl…

流体动力学 · 物理学 2011-12-05 Richard J. A. M. Stevens , Detlef Lohse , Roberto Verzicco

The heat transfer and flow structure in rotating Rayleigh-B\'enard convection are strongly influenced by the Rayleigh ($Ra$), Prandtl ($Pr$), and Rossby ($Ro$) number. For $Pr\gtrsim 1$ and intermediate rotation rates, the heat transfer is…

流体动力学 · 物理学 2020-05-14 Yantao Yang , Roberto Verzicco , Detlef Lohse , Richard J. A. M. Stevens

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

We investigate the dependency of the magnitude of heat transfer in a convection cell as a function of its inclination by means of experiments and simulations. The study is performed with a working fluid of large Prandtl number, $Pr \simeq…

流体动力学 · 物理学 2019-01-29 Linfeng Jiang , Chao Sun , Enrico Calzavarini

Measurements of the Nusselt number $Nu$ and of temperature variations $\Delta T_b$ in the bulk fluid are reported for turbulent Rayleigh-B\'enard convection of a cylindrical sample. They cover the Rayleigh-number range $10^{9} \alt Ra \alt…

流体动力学 · 物理学 2009-04-17 Denis Funfschilling , Eberhard Bodenschatz , Guenter Ahlers

We prove the first rigorous bound on the heat transfer for three-dimensional Rayleigh-B\'enard convection of finite-Prandtl-number fluids between free-slip boundaries with an imposed heat flux. Using the auxiliary functional method with a…

流体动力学 · 物理学 2018-04-11 Giovanni Fantuzzi

An important question in turbulent Rayleigh-B\'{e}nard convection (RBC) is the effectiveness of convective heat transport, which is conveniently described via the scaling of the Nusselt number (${\rm{Nu}}$) with the Rayleigh (${\rm{Ra}}$)…

流体动力学 · 物理学 2020-04-29 P. Urban , T. Králík , P. Hanzelka , V. Musilová , T. Věžník , D. Schmoranzer , L. Skrbek

We present a systematic investigation of the effects of roughness geometry on turbulent Rayleigh-B\'enard convection (RBC) over rough plates with pyramid-shaped and periodically distributed roughness elements. Using a parameter $\lambda$…

流体动力学 · 物理学 2017-07-26 Yi-Chao Xie , Ke-Qing Xia

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

We report the statistical properties of temperature and thermal energy dissipation rate in low-Prandtl number turbulent Rayleigh-B\'enard convection. High resolution two-dimensional direct numerical simulations were carried out for the…

流体动力学 · 物理学 2019-12-12 Ao Xu , Le Shi , Heng-Dong Xi

We investigate the influence of the thermal properties of the boundaries in turbulent Rayleigh-B\'enard convection on analytical upper bounds on convective heat transport. We model imperfectly conducting bounding plates in two ways: using…

流体动力学 · 物理学 2010-08-17 Ralf W. Wittenberg