Bounds for convection between rough boundaries
From MaRDI portal
Publication:4975279
DOI10.1017/jfm.2016.528zbMath1454.76088arXiv1604.08515OpenAlexW2344664376MaRDI QIDQ4975279
David Goluskin, Charles R. Doering
Publication date: 4 August 2017
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.08515
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Cites Work
- Computational approaches to aspect-ratio-dependent upper bounds and heat flux in porous medium convection
- Internally heated convection and Rayleigh-Bénard convection
- Upper bounds on Nusselt number at finite Prandtl number
- Variational bounds on shear-driven turbulence and turbulent Boussinesq convection
- Bounds on the transport of mass and momentum by turbulent flow between parallel plates
- Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\)
- Scaling bounds on dissipation in turbulent flows
- Rayleigh–Bénard convection: Improved bounds on the Nusselt number
- Internal heating driven convection at infinite Prandtl number
- Rigid bounds on heat transport by a fluid between slippery boundaries
- A rigorous bound on the vertical transport of heat in Rayleigh-Bénard convection at infinite Prandtl number with mixed thermal boundary conditions
- Thermal boundary layer near roughnesses in turbulent Rayleigh-Bénard convection: Flow structure and multistability
- Bounds on Rayleigh–Bénard convection with imperfectly conducting plates
- Internally heated convection beneath a poor conductor
- New results in the variational approach to turbulent Boussinesq convection
- Bounds on Flow Quantities
- The background flow method. Part 1. Constructive approach to bounds on energy dissipation
- Bounds on Rayleigh–Bénard convection with an imposed heat flux
- Turbulent thermal convection in a cell with ordered rough boundaries
- Upper bounds on general dissipation functionals in turbulent shear flows: revisiting the ‘efficiency’ functional
- Improved upper bound on the energy dissipation rate in plane Couette flow: the full solution to Busse's problem and the Constantin–Doering–Hopf problem with one-dimensional background field
- Bounds on convection driven by internal heating
- A bound on the vertical transport of heat in the ‘ultimate’ state of slippery convection at large Prandtl numbers
- Heat transport by turbulent convection
- Turbulent thermal convection over grooved plates
- Infinite-Prandtl-number convection. Part 1. Conservative bounds
