On the Optimal Design of Wall‐to‐Wall Heat Transport

DOI10.1002/cpa.21832zbMath1434.76036arXiv1712.08945OpenAlexW2775913454MaRDI QIDQ5204886

Ian Tobasco, Charles R. Doering

Publication date: 5 December 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08945

zbMATH Keywords

variational problemconditional optimizationNusselt numberadvection-diffusion equationRayleigh-Benard convection

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Optimization problems in thermodynamics and heat transfer (80M50) Flow control and optimization for incompressible viscous fluids (76D55) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (13)

Rigorous scaling laws for internally heated convection at infinite Prandtl number ⋮ Analytical bounds on the heat transport in internally heated convection ⋮ Bounds on the Heat Transfer Rate via Passive Advection ⋮ Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries ⋮ The role of boundary conditions in scaling laws for turbulent heat transport ⋮ Optimal Heat Transfer and Optimal Exit Times ⋮ Bounds for internally heated convection with fixed boundary heat flux ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Wall-to-wall optimal transport in two dimensions ⋮ Rotating turbulent thermal convection at very large Rayleigh numbers ⋮ Multi-scale steady solution for Rayleigh–Bénard convection ⋮ Bounds on heat transfer by incompressible flows between balanced sources and sinks ⋮ Geometrical dependence of optimal bounds in Taylor–Couette flow

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