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Related papers: Turbulent convection in rotating slender cells

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(abridged) Aims: To study turbulent transport coefficients that describe the evolution of large-scale magnetic fields in turbulent convection. Methods: We use the test field method together with 3D numerical simulations of turbulent…

Astrophysics · Physics 2009-07-29 P. J. Käpylä , M. J. Korpi , A. Brandenburg

Turbulent motions in the interior of a star play an important role in its evolution, since they transport chemical species, thermal energy and angular momentum. Our overall goal is to construct a practical turbulent closure model for…

Astrophysics · Physics 2009-06-23 Neil Miller , Pascale Garaud

In planetary fluid cores, the density depends on temperature and chemical composition, which diffuse at very different rates. This leads to various instabilities, bearing the name of double-diffusive convection. We investigate rotating…

Fluid Dynamics · Physics 2019-09-04 Rémy Monville , Jérémie Vidal , David Cébron , Nathanaël Schaeffer

We present an investigation of the root-mean-square (rms) temperature $\sigma_T$ and the rms velocity $\sigma_w$ in the bulk of Rayleigh-B\'enard turbulence, using new experimental data from the current study and experimental and numerical…

Fluid Dynamics · Physics 2019-09-18 Yi-Chao Xie , Bu-Ying-Chao Cheng , Yun-Bing Hu , Ke-Qing Xia

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

(abridged) Context: Late-type stars such as the Sun rotate differentially due to the interaction of turbulent convection and rotation. Aims: The aim of the study is to investigate the effects of the thermal Prandtl number on the transition…

Solar and Stellar Astrophysics · Physics 2023-01-18 Petri J. Käpylä

The Rossby number is a crucial parameter describing the degree of rotational constraint on the convective dynamics in stars and planets. However, it is not an input to computational models of convection but must be measured ex post facto.…

Solar and Stellar Astrophysics · Physics 2019-02-21 Evan H. Anders , Cathryn M. Manduca , Benjamin P. Brown , Jeffrey S. Oishi , Geoffrey M. Vasil

Two-dimensional direct numerical simulations are conducted for convection sustained by uniform internal heating in a horizontal fluid layer. Top and bottom boundary temperatures are fixed and equal. Prandtl numbers range from 0.01 to 100,…

Fluid Dynamics · Physics 2015-03-13 David Goluskin , Edward A. Spiegel

The amount and spatial pattern of heat extracted from cores of terrestrial planets is ultimately controlled by the thermal structure of the lower rocky mantle. Using the most common model to tackle this problem, a rapidly rotating and…

Earth and Planetary Astrophysics · Physics 2016-01-26 Wieland Dietrich , Kumiko Hori , Johannes Wicht

We report an experimental study aiming to clarify the role of boundary conditions (BC) in high Rayleigh number $10^8 < {\rm{Ra}} < 3 \times 10^{12}$ turbulent thermal convection of cryogenic helium gas. We switch between BC closer to…

Fluid Dynamics · Physics 2021-08-11 P. Urban , T. Králík , M. Macek , P. Hanzelka , T. Věžník \and L. Skrbek

Turbulent Rayleigh-B\'enard convection in slender cylindrical cells exhibits rich dynamics of the large-scale circulation (LSC), with several rolls stacked on top of each other. We propose that the elliptical instability is the mechanism…

Fluid Dynamics · Physics 2020-08-05 Lukas Zwirner , Andreas Tilgner , Olga Shishkina

So far, numerical studies of double-diffusive layering in turbulent convective flows have neglected the effects of rotation. We undertake a first step into that direction by investigating how Coriolis forces affect a double-diffusive layer…

Fluid Dynamics · Physics 2014-04-25 Patrick Blies , Friedrich Kupka , Florian Zaussinger , Rainer Hollerbach

We study the dynamics of thermal and momentum boundary regions in three-dimensional direct numerical simulations of Rayleigh-B\'enard convection for the Rayleigh number range $10^5 \le Ra \le 10^{11}$ and $Pr=0.7$. Using a Cartesian slab…

The intense turbulence present in the solar convection zone is a major challenge to both theory and simulation as one tries to understand the origins of the striking differential rotation profile with radius and latitude that has been…

Astrophysics · Physics 2009-11-07 Allan Sacha Brun , Juri Toomre

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 (${\rm{Ra}}$)…

Fluid Dynamics · Physics 2020-04-29 P. Urban , T. Králík , P. Hanzelka , V. Musilová , T. Věžník , D. Schmoranzer , L. Skrbek

The competition between turbulent convection and global rotation in planetary and stellar interiors governs the transport of heat and tracers, as well as magnetic-field generation. These objects operate in dynamical regimes ranging from…

Horizontally-periodic Boussinesq Rayleigh-B\'enard Convection (RBC) is a simple model system to study the formation of large-scale structures in turbulent convective flows. We performed a suite of 2D numerical simulations of RBC between…

Solar and Stellar Astrophysics · Physics 2025-12-23 F. Kupka , D. Fabbian , F. Zaussinger , D. Krüger , L. Gizon

Rayleigh-B\'enard convection in rotating spherical shells can be considered as a simplified analogue of many astrophysical and geophysical fluid flows. Here, we use three-dimensional direct numerical simulations to study this physical…

Fluid Dynamics · Physics 2016-11-23 T. Gastine , J. Wicht , J. Aubert

We perform direct numerical simulations (DNS) to study the effect of bi-lateral confinement, i.e., the effect of aspect ratio, on the Rayleigh number (Ra) for the onset of wall-mode convection ($Ra_{wm}$) in rotating Rayleigh-B\'enard…

Fluid Dynamics · Physics 2025-02-14 V. K. Tripathi , P. Joshi

To provide insights into the challenging problem of turbulent convection, Jack Herring used a greatly truncated version of the complete Boussinesq equations containing only one horizontal wavenumber. In light of later observations of a…

Fluid Dynamics · Physics 2023-03-13 Katepalli R. Sreenivasan , Joseph J. Niemela