Mean temperature profiles in turbulent thermal convection

2017/08/31 by Olga Shishkina, Susanne Horn, Mohammad S. Emran +1 · 32 citations
Engineering · Environmental Science · Physics and Astronomy · #Combustion and flame dynamics #Convection #Convective heat transfer #Fluid Dynamics and Turbulent Flows #Geology #Materials science #Mechanics #Meteorology #Physics #Plant Water Relations and Carbon Dynamics #Thermal #Turbulence #physics.flu-dyn

paper · pdf · doi:10.1103/physrevfluids.2.113502

published in Physical Review Fluids 2(11) (American Physical Society) · 8 pages, 4 figures

arxiv created 2017/11/13 · openalex publication_date 2017/11/15 · arxiv updated 2017/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A thermal boundary layer equation that includes fluctuations is solved using a relation between the eddy thermal diffusivity and the stream function, and a closed-form expression for the mean temperature profiles in turbulent Rayleigh-B'enard convection is obtained for fluids with a general Prandtl number .

Citations

• Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection
• Logarithmic temperature profiles in the ultimate regime of thermal convection
• Thermal Convection for Large Prandtl Numbers
• Global and local statistics in turbulent convection at low Prandtl numbers