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Turbulent convection in the interiors of the Sun and the Earth occurs at high Rayleigh numbers $Ra$, low Prandtl numbers $Pr$, and different levels of rotation rates. To understand the combined effects better, we study rotating turbulent…

流体动力学 · 物理学 2024-11-20 Ambrish Pandey , Katepalli R. Sreenivasan

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…

The Rayleigh number $Ra$ dependence of the Nusselt number $Nu$ in turbulent Rayleigh--B\'enard convection is numerically investigated for a moderate and low Prandtl number, $Pr=0.7$ and $0.021$, respectively. Here we specifically address…

流体动力学 · 物理学 2019-06-18 Marten Klein , Heiko Schmidt

Here we summarize the results from our direct numerical simulations (DNS) and experimental measurements on rotating Rayleigh-B\'enard (RB) convection. Our experiments and simulations are performed in cylindrical samples with an aspect ratio…

流体动力学 · 物理学 2013-06-21 Richard J. A. M. Stevens , Herman Clercx , Detlef Lohse

We present numerical simulations, using two complementary setups, of rotating Boussinesq thermal convection in a three-dimensional Cartesian geometry with misaligned gravity and rotation vectors. This model represents a small region at a…

太阳与恒星天体物理 · 物理学 2020-02-19 Laura K. Currie , Adrian J. Barker , Yoram Lithwick , Matthew K. Browning

The turbulent Rayleigh--Taylor system in a rotating reference frame is investigated by direct numerical simulations within the Oberbeck-Boussinesq approximation. On the basis of theoretical arguments, supported by our simulations, we show…

流体动力学 · 物理学 2017-05-16 G. Boffetta , A. Mazzino , S. Musacchio

We report heat transfer and temperature profile measurements in laboratory experiments of rapidly rotating convection in water under intense thermal forcing (Rayleigh number $Ra$ as high as $\sim 10^{13}$) and unprecedentedly strong…

流体动力学 · 物理学 2020-11-11 Jonathan S. Cheng , Matteo Madonia , Andrés J. Aguirre Guzmán , Rudie P. J. Kunnen

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

High-Rayleigh number convective turbulence is ubiquitous in many natural phenomena and in industries, such as atmospheric circulations, oceanic flows, flows in the fluid core of planets, and energy generations. In this work, we present a…

流体动力学 · 物理学 2022-01-05 Hechuan Jiang , Xiaojue Zhu , Dongpu Wang , Sander G. Huisman , Chao Sun

The central open question about Rayleigh--B\'enard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on the imposed temperature gradient in the strongly…

流体动力学 · 物理学 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

Rapidly rotating Rayleigh-B\'enard convection admits a class of exact steady single-mode solutions describing high-amplitude convection cells. Using a matched asymptotic analysis in the high-Rayleigh-number limit, we obtain a rigorous…

流体动力学 · 物理学 2026-05-08 Gabriel Hadjerci , Shingo Motoki , Genta Kawahara

Flows at planetary scales are generally driven by buoyancy and influenced by rotation. Rotating Rayleigh-B\'enard convection (RRBC) is a practical and simple model that can be used to describe these systems. In RRBC, thermally induced…

流体动力学 · 物理学 2025-12-01 Hannah M. Clercx , Rudie P. J. Kunnen

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 present experimental heat transport measurements of turbulent Rayleigh-B\'{e}nard convection with rotation about a vertical axis. The fluid, water with Prandtl number ($\sigma$) about 6, was confined in a cell which had a square cross…

流体动力学 · 物理学 2015-05-13 Yuanming Liu , Robert E. Ecke

Heat transport in highly turbulent convection is not well understood. In this paper, we simulate compressible convection in a box of aspect ratio 4 using computationally-efficient MacCormack-TVD finite difference method on single and…

流体动力学 · 物理学 2024-11-18 Harshit Tiwari , Lekha Sharma , Mahendra K. Verma

We study numerically the melting of a horizontal layer of a pure solid above a convecting layer of its fluid rotating about the vertical axis. In the rotating regime studied here, with Rayleigh numbers of order $10^7$, convection takes the…

流体动力学 · 物理学 2021-04-13 S. Ravichandran , J. S. Wettlaufer

Heat and momentum transfer in wall-bounded turbulent flow, coupled with the effects of wall-roughness, is one of the outstanding questions in turbulence research. In the standard Rayleigh-B\'enard problem for natural thermal convection, it…

流体动力学 · 物理学 2019-07-05 Michael MacDonald , Nicholas Hutchins , Detlef Lohse , Daniel Chung

Convection in the metallic cores of terrestrial planets is likely to be subjected to lateral variations in heat flux through the outer boundary imposed by creeping flow in the overlying silicate mantles. Boundary anomalies can significantly…

地球物理 · 物理学 2017-09-01 Jon E. Mound , Christopher J. Davies

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 compare simple analytical closure models of homogeneous turbulent Boussinesq convection for stellar applications with three-dimensional simulations. We use simple analytical closure models to compute the fluxes of angular momentum and…

太阳与恒星天体物理 · 物理学 2014-09-26 J. E. Snellman , P. J. Käpylä , M. J. Käpylä , M. Rheinhardt , B. Dintrans
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