A rigorous bound on the vertical transport of heat in Rayleigh-Bénard convection at infinite Prandtl number with mixed thermal boundary conditions

DOI10.1063/1.4896223zbMath1366.76082OpenAlexW1969184694MaRDI QIDQ2924900

Jared P. Whitehead, Ralf W. Wittenberg

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4896223

Mathematics Subject Classification ID

Related Items (11)

Rigorous scaling laws for internally heated convection at infinite Prandtl number ⋮ Energy dissipation rate limits for flow through rough channels and tidal flow across topography ⋮ Bound on the drag coefficient for a flat plate in a uniform flow ⋮ Limitations of the background field method applied to Rayleigh-Bénard convection ⋮ Pressure-driven flows in helical pipes: bounds on flow rate and friction factor ⋮ Boundary layer analysis for Navier-slip Rayleigh-Bénard convection: the non-existence of an ultimate state ⋮ New bounds on the vertical heat transport for Bénard–Marangoni convection at infinite Prandtl number ⋮ Rotating turbulent thermal convection at very large Rayleigh numbers ⋮ Bounds for convection between rough boundaries ⋮ Bounds for Rayleigh–Bénard convection between free-slip boundaries with an imposed heat flux ⋮ An efficient and accurate numerical scheme for long time statistical properties of the infinite Prandtl number model for convection

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