The role of boundary conditions in scaling laws for turbulent heat transport
From MaRDI portal
Publication:6195551
DOI10.3934/mine.2023013arXiv2112.15564OpenAlexW4213387512MaRDI QIDQ6195551
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.15564
Rayleigh-Bénard convectionbackground field methodNusselt numberthermal boundary layersNavier-slip boundary conditionsno-slip boundary conditionsfree-slip boundary conditionsmaximal regularity for Stokes equation
Related Items
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries ⋮ Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview
Cites Work
- Unnamed Item
- Unnamed Item
- Upper bounds on Nusselt number at finite Prandtl number
- Bound on vertical heat transport at large Prandtl number
- Infinite Prandtl number convection
- Rigorous bounds on scaling laws in fluid dynamics
- Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems
- Bounding averages rigorously using semidefinite programming: mean moments of the Lorenz system
- Some remarks on the boundary conditions in the theory of Navier-Stokes equations
- On upper bounds for infinite Prandtl number convection with or without rotation
- Scaling bounds on dissipation in turbulent flows
- Rayleigh–Bénard convection: Improved bounds on the Nusselt number
- Rigid bounds on heat transport by a fluid between slippery boundaries
- Polynomial sum of squares in fluid dynamics: a review with a look ahead
- Infinite Prandtl number limit of Rayleigh-Bénard convection
- Wall to wall optimal transport
- On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
- Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids
- Applied Analysis of the Navier-Stokes Equations
- Bounds for convection between rough boundaries
- Turning up the heat in turbulent thermal convection
- Steady Rayleigh–Bénard convection between stress-free boundaries
- Algebraic bounds on the Rayleigh–Bénard attractor
- A bound on the vertical transport of heat in the ‘ultimate’ state of slippery convection at large Prandtl numbers
- On the Optimal Design of Wall‐to‐Wall Heat Transport
- Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
- On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
- Heat transport by turbulent convection
- Limitations of the background field method applied to Rayleigh-Bénard 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
- Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization
- On Howard's upper bound for heat transport by turbulent convection
- Infinite-Prandtl-number convection. Part 1. Conservative bounds
- Turbulent Thermal Convection at Arbitrary Prandtl Number
- The heat transport and spectrum of thermal turbulence