New bounds on the vertical heat transport for Bénard–Marangoni convection at infinite Prandtl number

DOI10.1017/jfm.2019.1029zbMath1460.76718arXiv1909.04936OpenAlexW2998536704MaRDI QIDQ5207698

Camilla Nobili, Andrew Wynn, Giovanni Fantuzzi

Publication date: 13 January 2020

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

Full work available at URL: https://arxiv.org/abs/1909.04936

zbMATH Keywords

variational methodsMarangoni convection

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Forced convection (76R05)

Related Items (4)

Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries ⋮ Bound on the drag coefficient for a flat plate in a uniform flow ⋮ Pressure-driven flows in helical pipes: bounds on flow rate and friction factor ⋮ Geometrical dependence of optimal bounds in Taylor–Couette flow

Cites Work

• Internal heating driven convection at infinite Prandtl number
• A rigorous bound on the vertical transport of heat in Rayleigh-Bénard convection at infinite Prandtl number with mixed thermal boundary conditions
• On convection cells induced by surface tension
• Thermal Convection
• Applied Analysis of the Navier-Stokes Equations
• Bénard–Marangoni convection at low Prandtl number
• Bounds on heat transfer for Bénard–Marangoni convection at infinite Prandtl number
• Exact energy stability of Bénard–Marangoni convection at infinite Prandtl number
• Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection
• The heat transport and spectrum of thermal turbulence

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