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Related papers: Rapidly Rotating Wall-Mode Convection

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In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature…

Plasma Physics · Physics 2019-11-14 M. I. Kopp , A. V. Tur , V. V. Yanovsky

Patterns of convection in internally heated, self-gravitating rotating spherical fluid shells are investigated through numerical simulations. While turbulent states are of primary interest in planetary and stellar applications the present…

Fluid Dynamics · Physics 2009-06-09 R. D. Simitev , F. H. Busse

We consider stability of steady convective flows in a horizontal layer with stress-free boundaries, heated below and rotating about the vertical axis, in the Boussinesq approximation (the Rayleigh-Benard convection). The flows under…

Fluid Dynamics · Physics 2015-06-26 O. M. Podvigina

We investigate the linear onset of thermal convection in rotating spherical shells with a focus on the influence of mechanical boundary conditions and thermal driving modes. Using a spectral method, we determine critical Rayleigh numbers,…

Fluid Dynamics · Physics 2025-09-09 William Seeley , Francesca Coke , Radostin Simitev , Robert Teed

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

Fluid Dynamics · Physics 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

In the present paper, the onset of thermal convection in a uniformly rotating Darcy-Brinkman porous medium saturated by a variable viscosity fluid is investigated and the competing interplay between rotation and temperature-dependent…

Fluid Dynamics · Physics 2024-10-15 Florinda Capone , Jacopo A. Gianfrani

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

Wall-bounded turbulent shear flows are known to exhibit universal small-scale dynamics that are modulated by large-scale flow structures. Strong pressure gradients complicate this characterization, however; they can cause significant…

Fluid Dynamics · Physics 2023-09-18 Sean P. Carney , Robert D. Moser

Rapidly rotating Rayleigh-B\'enard convection on a $f$-plane at colatitude $\vartheta_f$ is investigated numerically using an asymptotically reduced equation set valid in the limit of very rapid rotation. The equations provide a…

Fluid Dynamics · Physics 2026-02-25 Benjamin Miquel , Abram Ellison , Michael A. Calkins , Keith Julien , Edgar Knobloch

We test the ability of a general low-dimensional model for turbulence to predict geometry-dependent dynamics of large-scale coherent structures, such as convection rolls. The model consists of stochastic ordinary differential equations,…

Fluid Dynamics · Physics 2016-03-02 Kunlun Bai , Dandan Ji , Eric Brown

In a reaction-diffusion-advection system, with a convectively unstable regime, a perturbation creates a wave train that is advected downstream and eventually leaves the system. We show that the convective instability coexists with a local…

Pattern Formation and Solitons · Physics 2017-10-11 Estefania Vidal-Henriquez , Vladimir Zykov , Eberhard Bodenschatz , Azam Gholami

Recently, in Zhang et al. (2020), it was found that in rapidly rotating turbulent Rayleigh-B\'enard convection (RBC) in slender cylindrical containers (with diameter-to-height aspect ratio $\Gamma=1/2$) filled with a small-Prandtl-number…

Fluid Dynamics · Physics 2021-07-01 Xuan Zhang , Robert E. Ecke , Olga Shishkina

Three-dimensional turbulent magnetoconvection at a Rayleigh number of $Ra=10^7$ in liquid gallium at a Prandtl number $Pr=0.025$ is studied in a closed square cell for very strong external vertical magnetic fields $B_0$ in direct numerical…

Fluid Dynamics · Physics 2018-06-29 Wenjun Liu , Dmitry Krasnov , Jörg Schumacher

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

We report on the decay of a passive scalar in chaotic mixing protocols where the wall of the vessel is rotated, or a net drift of fluid elements near the wall is induced at each period. As a result the fluid domain is divided into a central…

Soft Condensed Matter · Physics 2010-07-06 Emmanuelle Gouillart , Jean-Luc Thiffeault , Olivier Dauchot

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

Fluid Dynamics · Physics 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

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…

Fluid Dynamics · Physics 2021-04-13 S. Ravichandran , J. S. Wettlaufer

When the classical Rayleigh-B\'enard (RB) system is rotated about its vertical axis roughly three regimes can be identified. In regime I (weak rotation) the large scale circulation (LSC) is the dominant feature of the flow. In regime II…

A comprehensive study of the classical linear spin-down of a constant density viscous fluid (kinematic viscosity \nu) rotating rapidly (angular velocity \Omega) inside an axisymmetric cylindrical container (radius L, height H) with rigid…

Fluid Dynamics · Physics 2017-04-26 Ludivine Oruba , Andrew Soward , Emmanuel Dormy