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Related papers: Predicting the Rossby number in convective experim…

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A simplified model for stellar and planetary convection is derived for the magnitude of the rms velocity, degree of superadiabaticity, and characteristic length scale with Rossby number as well as with thermal and viscous diffusivities.…

Solar and Stellar Astrophysics · Physics 2018-11-13 Kyle Augustson , Stéphane Mathis

Buoyancy-driven convection is likely the dominant driver of turbulent motions in the universe, and thus, is widely studied by physicists, engineers, geophysicists and astrophysicists. Maybe unsurprisingly, these different communities…

Fluid Dynamics · Physics 2020-09-09 Jonathan M. Aurnou , Susanne Horn , Keith Julien

A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle

The stellar Rossby number, a dimensionless parameter quantifying the influence of Coriolis forces on convective motions, plays a pivotal role in understanding magnetic stellar evolution. In this work, we explore the connection between the…

Solar and Stellar Astrophysics · Physics 2025-10-15 Alfio Bonanno , Enrico Corsaro , Travis S. Metcalfe , Sylvain Breton , Orlagh L. Creevey , Christopher J. Lindsay

This paper provides estimates of convective turnover time scales for Sun-like stars in the pre-main sequence and early post-main sequence phases of evolution, based on up-to-date physical input for the stellar models. In this first study,…

Astrophysics · Physics 2007-05-23 Yong -Cheol Kim , Pierre Demarque

Rotational scaling relationships are examined for the degree of equipartition between magnetic and kinetic energies in stellar convection zones. These scaling relationships are approached from two paradigms, with first a glance at scaling…

Solar and Stellar Astrophysics · Physics 2022-11-30 K. ~C. Augustson , A. ~S. Brun , J. Toomre

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…

The progress in our understanding of several aspects of turbulent Rayleigh-Benard convection is reviewed. The focus is on the question of how the Nusselt number and the Reynolds number depend on the Rayleigh number Ra and the Prandtl number…

Fluid Dynamics · Physics 2015-05-13 Guenter Ahlers , Siegfried Grossmann , Detlef Lohse

Convective turbulence in a Rayleigh Benard system has shown a marked reluctance to exhibit clear scaling in the energy or entropy spectrum. The recent numerical simulation of Pandey, Verma and Mishra has shown significantly better evidence…

Fluid Dynamics · Physics 2014-06-10 Jayanta Kumar Bhattacharjee

Anelastic convection at high Rayleigh number in a plane parallel layer with no slip boundaries is considered. Energy and entropy balance equations are derived, and they are used to develop scaling laws for the heat transport and the…

Fluid Dynamics · Physics 2023-06-22 Chris A. Jones , Krzysztof A. Mizerski , Mouloud Kessar

Understanding solar turbulent convection and its influence on differential rotation has been a challenge over the past two decades. Current models often overestimate giant convection cells amplitude, leading to an effective Rossby number…

Solar and Stellar Astrophysics · Physics 2025-03-12 Quentin Noraz , Allan Sacha Brun , Antoine Strugarek

Bounds for the poloidal and toroidal kinetic energies and the heat transport are computed numerically for rotating convection at infinite Prandtl number with both no slip and stress free boundaries. The constraints invoked in this…

Fluid Dynamics · Physics 2022-08-30 A. Tilgner

We propose a phenomenological model for thermal convection at high Rayleigh numbers. It hypothesizes existence of a high-Reynolds-number turbulent boundary layer near each horizontal plate, which is shown to be convective. The convective…

Fluid Dynamics · Physics 2024-03-27 Chenning Tong

A systematic theory for the scaling of the Nusselt number $Nu$ and of the Reynolds number $Re$ in strong Rayleigh-Benard convection is suggested and shown to be compatible with recent experiments. It assumes a coherent large scale…

chao-dyn · Physics 2017-05-17 Siegfried Grossmann , Detlef Lohse

Rapidly rotating Rayleigh-B\'enard convection is studied by combining results from direct numerical simulations (DNS), laboratory experiments and asymptotic modeling. The asymptotic theory is shown to provide a good description of the bulk…

Fluid Dynamics · Physics 2015-06-23 S. Stellmach , M. Lischper , K. Julien , G. Vasil , J. S. Cheng , A. Ribeiro , E. M. King , J. M. Aurnou

Motivated by understanding the dynamics of stellar and planetary interiors, we have performed a set of direct numerical simulations of Boussinesq convection in a rotating full sphere. The domain is internally heated with fixed temperature…

Fluid Dynamics · Physics 2021-05-05 Yufeng Lin , Andrew Jackson

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…

Fluid Dynamics · Physics 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

In turbulent Rayleigh-B\'enard convection one seeks the relationship between the heat transport, captured by the Nusselt number, and the temperature drop across the convecting layer, captured by Rayleigh number. In experiments, one measures…

Chaotic Dynamics · Physics 2018-05-23 Scott Weady , Sahil Agarwal , Larry Wilen , John Wettlaufer

Convective boundary mixing is one of the major uncertainties in stellar evolution. In order to study its dependence on boundary properties and turbulence strength in a controlled way, we computed a series of 3D hydrodynamical simulations of…

Solar and Stellar Astrophysics · Physics 2019-02-13 A. Cristini , R. Hirschi , C. Meakin , D. Arnett , C. Georgy , I. Walkington

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…

Fluid Dynamics · Physics 2025-12-01 Hannah M. Clercx , Rudie P. J. Kunnen
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