Logarithmic temperature profiles in the ultimate regime of thermal convection

2012/08/13 by Siegfried Grossmann, Detlef Lohse · 3 citations
Computer Science · Engineering · Physics and Astronomy · #Aspect ratio (aeronautics) #Convection #Convection cell #Fluid Dynamics and Turbulent Flows #Logarithm #Nanofluid Flow and Heat Transfer #Nonlinear Dynamics and Pattern Formation #Position (finance) #Rayleigh number #Rayleigh scattering #Thermal #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1063/1.4767540

14 pages, no figure

arxiv created 2012/08/13 · openalex publication_date 2012/12/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We report on the theory of logarithmic temperature profiles in very strongly developed thermal convection in the geometry of a Rayleigh-Bénard cell with aspect ratio (defined by cell width divided by cell height) Γ = 1, and discuss the degree of agreement with the recently measured profiles in the ultimate state of very large Rayleigh number flow. The parameters of the log-profile are calculated and compared with the measured ones. Their physical interpretation as well as their dependence on the radial position are discussed.

Citations

• Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection
• Small-Scale Properties of Turbulent Rayleigh-Bénard Convection

Cited by

• Direct numerical simulation of Taylor–Couette flow with grooved walls: torque scaling and flow structure
• Transition to the Ultimate Regime in Two-Dimensional Rayleigh-Bénard Convection
• Mean temperature profiles in turbulent thermal convection