Rigid bounds on heat transport by a fluid between slippery boundaries

DOI10.1017/jfm.2012.274zbMath1275.76192OpenAlexW2322441122MaRDI QIDQ2863271

Jared P. Whitehead, Charles R. Doering

Publication date: 21 November 2013

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2012.274

Mathematics Subject Classification ID

Related Items (19)

Rigorous scaling laws for internally heated convection at infinite Prandtl number ⋮ Wall to wall optimal transport ⋮ A rigorous bound on the vertical transport of heat in Rayleigh-Bénard convection at infinite Prandtl number with mixed thermal boundary conditions ⋮ Laminar boundary layers in convective heat transport ⋮ Maximal heat transfer between two parallel plates ⋮ Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements ⋮ The role of boundary conditions in scaling laws for turbulent heat transport ⋮ Boundary layer analysis for Navier-slip Rayleigh-Bénard convection: the non-existence of an ultimate state ⋮ Exact relations between Rayleigh–Bénard and rotating plane Couette flow in two dimensions ⋮ A rigorous bound on the scaling of dissipation with velocity amplitude in flow past a sphere ⋮ Bounds for convection between rough boundaries ⋮ Optimal heat transfer enhancement in plane Couette flow ⋮ Bounds on heat transfer for Bénard–Marangoni convection at infinite Prandtl number ⋮ 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 ⋮ Bounds on heat transport for convection driven by internal heating ⋮ Steady Rayleigh–Bénard convection between no-slip boundaries ⋮ Bounds on heat transfer by incompressible flows between balanced sources and sinks ⋮ Bounds for rotating Rayleigh–Bénard convection at large Prandtl number

Cites Work

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• Turbulent Thermal Convection at Arbitrary Prandtl Number
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