Bound on vertical heat transport at large Prandtl number

DOI10.1016/j.physd.2007.11.001zbMath1185.35199OpenAlexW2068871549MaRDI QIDQ926805

Xiaoming Wang

Publication date: 21 May 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.11.001

zbMATH Keywords

Rayleigh numberBoussinesq equationsRayleigh-Bénard convectionPrandtl numberNusselt number

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45)

Related Items (12)

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 ⋮ Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system ⋮ Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries ⋮ Upper bounds on Nusselt number at finite Prandtl number ⋮ Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements ⋮ The role of boundary conditions in scaling laws for turbulent heat transport ⋮ Micropolar meets Newtonian. The Rayleigh-Bénard problem ⋮ Micropolar meets Newtonian in 3D. The Rayleigh–Bénard problem for large Prandtl numbers ⋮ Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing ⋮ Rayleigh-Bénard problem for thermomicropolar fluids ⋮ Large Prandtl number asymptotics in randomly forced turbulent convection

Cites Work

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• Heat transfer in convective turbulence
• Recent Developments in Rayleigh-Bénard Convection
• Inertial convection in rotating fluid spheres
• Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
• Heat transport by turbulent convection
• Stationary statistical properties of Rayleigh‐Bénard convection at large Prandtl number
• Infinite-Prandtl-number convection. Part 2. A singular limit of upper bound theory
• Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection

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