Spectra and Statistics of Velocity and Temperature Fluctuations in Turbulent Convection

1999/06/09 by Shai Ashkenazi, Shay Ashkenazi, Victor Steinberg · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Combustion and flame dynamics #Convection #Fluid Dynamics and Turbulent Flows #Mathematics #Mechanics #Natural convection #Optics #Physics #Prandtl number #Quantum mechanics #Quantum, superfluid, helium dynamics #Rayleigh number #Rayleigh scattering #Reynolds number #Scaling #Spectral line #Turbulence #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physrevlett.83.4760

4 pages, 4 figures

arxiv created 1999/06/09 · openalex publication_date 1999/12/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Direct measurements of the velocity in turbulent convection of SF₆ near its gas-liquid critical point by light scattering on the critical density fluctuations were conducted. The temperature, velocity, and cross frequency power spectra in a wide range of the Rayleigh and Prandtl numbers show scaling behavior with indices, which are rather close to the Bolgiano-Obukhov scaling in the wave number domain. The statistics of the velocity fluctuations remain Gaussian up to the Reynolds numbers of 10⁵.

Cited by

• Logarithmically modified scaling of temperature structure functions in thermal convection
• Van der Waals cascade in supercritical turbulence near a critical point
• Energy Budget in Rayleigh-Bénard Convection
• Energy spectra and fluxes for Rayleigh-Bénard convection