Recent Developments in Rayleigh-Bénard Convection

By Eberhard Bodenschatz, W. Pesch, G. Ahlers. 2000

971 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/05fc2681e9cab3ba9d1d7315043ca9336286f6b0

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In Biomedical Engineering

In Computational Mechanics

In Computer Networks and Communications

Citations in the corpus

Complexity, segregation, and pattern formation in rotating-drum flows (2011, background): “As with many other pattern forming systems [e.g., Rayleigh-Bénard convection (Bodenschatz, Pesch, and Ahlers, 2000)], the suspension-filled rotating drum exhibits both steady and dynamical states.”
Phase diagram of vertically shaken granular matter (2006, background): “These particles have picked up an excess of energy from the vibrating bottom (due to a statistical fluctuation) and collectively move upwards, very much like the onset of Rayleigh-Bénard convection in a classical fluid heated from below [37, 38, 39, 40, 41, 42, 43].”
Patterning surfaces with functional polymers. (2008, background): “Instability-induced polymer patterning Subjection of thin, liquid films to vertical temperature or electric field gradients produces modulations in surface tension, buoyancy or charge densit”
Propagation of hexagonal patterns near onset (2003, methodology): “Among the experiments where these patterns occur are the Rayleigh–Bénard convection [1] and chemical reactions such as the chlorite-iodide-malonic acid reaction (CIMA) [2, 35].”
Aspect ratio dependence of heat transfer and large-scale flow in turbulent convection (2010, background): “We also observe that the LSC patterns in turbulent convection at Ra ≥ 107 are still strikingly similar to those in the weakly nonlinear regime immediately beyond the onset of convection (Bodenschatz et al. 2000).”
Lattice Boltzmann model for melting with natural convection (2008, methodology): “…melting, in the case of Newtonian incompressible fluids under the Boussinesq approximation (and neglecting viscous heating), can be written as Bodenschatz et al. (2000) r u ¼ 0; ð6Þ ou ot þ u ðru Þ ¼ rp þ Prr2u PrRabT ; ð7Þ oT ot þ u rT ¼ r2T 1 St ofl ot ; ð8Þ where Pr ¼ m=j is the Prandtl…”
Sparse grid collocation schemes for stochastic natural convection problems (2007, background): “The existence of multiple patterns in the region of parameters considered here is well known [41].”
Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection (2008, background): “It played a crucial role in the development of stability theory in hydrodynamics (Chandrasekhar (1981), Drazin and Reid (1981)) and had been paradigmatic in pattern formation and in the study of spatial-temporal chaos (Bodenschatz et al. (2000), Getling (1998)). From an applied viewpoint, thermally ”