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Related papers: Spatio-temporal Patterns in Inclined Layer Convect…

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We report experiments on thermally driven convection in an inclined layer of large aspect ratio in a fluid of Prandtl number $\sigma \approx 1$. We observed a number of new nonlinear, mostly spatio-temporally chaotic, states. At small…

patt-sol · Physics 2009-10-31 Karen E. Daniels , Eberhard Bodenschatz

Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number Pr=1.07. Depending on the angle of inclination and the imposed temperature difference, the flow…

Pattern Formation and Solitons · Physics 2020-08-26 Florian Reetz , Tobias M. Schneider

Convection in a layer inclined against gravity is a thermally driven non-equilibrium system, in which both buoyancy and shear forces drive spatio-temporally complex flow. As a function of the strength of thermal driving and the angle of…

Pattern Formation and Solitons · Physics 2020-08-26 Florian Reetz , Priya Subramanian , Tobias M. Schneider

This study of spatio-temporal pattern formation in an annulus is motivated by two physical problems on vastly different scales. The first is atmospheric convection in the equatorial plane between the warm surface of the Earth and the cold…

Numerical Analysis · Mathematics 2025-10-20 William F. Langford , Dan D. Rusu

A coupled map lattice for convection is proposed, which consists of Eulerian and Lagrangian procedures. Simulations of the model not only reproduce a wide-range of phenomena in Rayleigh-B\'{e}nard convection experiments but also lead to…

chao-dyn · Physics 2015-06-24 Tatsuo Yanagita , Kunihiko Kaneko

A parametric instability of an incompressible, viscous, and Boussinesq fluid layer bounded between two parallel planes is investigated numerically. The layer is assumed to be inclined at an angle with horizontal. The planes bounding the…

Fluid Dynamics · Physics 2023-05-01 Jitender Singh

Turbulent Rayleigh-B\'enard convection displays a large-scale order in the form of rolls and cells on lengths larger than the layer height once the fluctuations of temperature and velocity are removed. These turbulent superstructures are…

Fluid Dynamics · Physics 2018-05-30 Ambrish Pandey , Janet D. Scheel , Jörg Schumacher

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

Pattern forming with externally imposed symmetry is ubiquitous in nature but lightly studied.We present experimental studies of pattern formation and selection by spatial periodic forcing in rapidly rotating convection. We observe symmetric…

Fluid Dynamics · Physics 2022-01-25 Shan-Shan Ding , Hong-Lin Zhang , Dong-Tian Chen , Hao-Han Sun , Jin-Qiang Zhong

We investigate a novel bursting state in inclined layer thermal convection in which convection rolls exhibit intermittent, localized, transverse bursts. With increasing temperature difference, the bursts increase in duration and number…

Pattern Formation and Solitons · Physics 2007-05-23 Karen E. Daniels , Richard J. Wiener , Eberhard Bodenschatz

Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate in both experiments and simulations. This is particularly so for very low molecular Prandtl numbers as in stellar…

Fluid Dynamics · Physics 2022-09-09 Ambrish Pandey , Dmitry Krasnov , Katepalli R. Sreenivasan , Jörg Schumacher

We describe experiments on B{\'e}nard-Marangoni convection in horizontal layers of two immiscible liquids. Unlike previous experiments, which used gases as the upper fluid, we find a square planform close to onset which undergoes a…

patt-sol · Physics 2007-05-23 Wayne A. Tokaruk , T. C. A. Molteno , Stephen W. Morris

The coarsening and wavenumber selection of striped states growing from random initial conditions are studied in a non-relaxational, spatially extended, and far-from-equilibrium system by performing large-scale numerical simulations of…

Pattern Formation and Solitons · Physics 2009-11-10 M. R. Paul , K-H. Chiam , M. C. Cross , P. F. Fischer

We analyze the reversals of the large scale flow in Rayleigh-B\'enard convection both through particle image velocimetry flow visualization and direct numerical simulations (DNS) of the underlying Boussinesq equations in a (quasi)…

In the inclined layer convection system, thermal convection in a Rayleigh--B\'enard cell tilted against gravity, the flow is subject to competing buoyancy and shear forces. For varying inclination angle ($\gamma$) and Rayleigh number…

Fluid Dynamics · Physics 2026-05-26 Zheng Zheng , Sajjad Azimi , Florian Reetz , Tobias M. Schneider

Experimental and theoretical investigations of undulation patterns in high-pressure, inclined layer gas convection at a Prandtl number near unity are reported. Particular focus is given to the competition between the spatiotemporal chaotic…

Pattern Formation and Solitons · Physics 2015-06-26 Karen E. Daniels , Oliver Brausch , Werner Pesch , Eberhard Bodenschatz

We consider a classical problem of linear stability of convective rolls in a plane layer with stress-free horizontal boundaries near the onset of convection. The problem has been studied by a number of authors, who have shown that rolls of…

Chaotic Dynamics · Physics 2015-05-18 Olga Podvigina

Buoyancy-induced (Rayleigh-Benard) convection of a fluid between two horizontal plates is a central paradigm for studying the transition to complex spatiotemporal dynamics in sustained nonequilibrium systems. To improve the analysis of…

Pattern Formation and Solitons · Physics 2007-05-23 M. C. Lai , K. H. Chiam , M. C. Cross , H. S. Greenside

We consider the onset of Boussinesq convection in a horizontal layer of electrically conducting incompressible fluid with rigid electrically insulating horizontal boundaries. The fluid is heated from below and rotates about a vertical axis;…

Pattern Formation and Solitons · Physics 2011-02-22 Olga Podvigina

Molecular dynamics simulation has been used to model pattern formation in three-dimensional Rayleigh--Benard convection at the discrete-particle level. Two examples are considered, one in which an almost perfect array of hexagonally-shaped…

Other Condensed Matter · Physics 2009-11-11 D. C. Rapaport
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