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Bound to improve: a variational approach to convective heat transport

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Publication:2747026
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DOI10.1017/S0022112001004839zbMath1008.76025OpenAlexW2101541362MaRDI QIDQ2747026

Glenn R. Ierley, Rodney A. Worthing

Publication date: 10 April 2003

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

Full work available at URL: https://doi.org/10.1017/s0022112001004839


zbMATH Keywords

perturbation theoryvariational methodenergetic constraints\(z\)-constraintsturbulent convective heat transport


Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Convective turbulence (76F35)


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Variational bounds on shear-driven turbulence and turbulent Boussinesq convection ⋮ Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse



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