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Logarithmically modified scaling of temperature structure functions in thermal convection

2004/12/07 by A. Bershadskii, A Bershadskii, K. R. Sreenivasan +3 · 4 citations
Engineering · Physics and Astronomy · #Boundary value problem #Convection #Fluid Dynamics and Turbulent Flows #Fluid dynamics and aerodynamics studies #Function (biology) #Nanofluid Flow and Heat Transfer #Rayleigh number #Scalar (mathematics) #Scaling #Thermal #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.1209/epl/i2004-10373-4

published in Europhysics Letters (EPL) 69(1), 75-80 (Institute of Physics)

openalex publication_date 2004/12/07 · arxiv created 2005/01/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using experimental data on thermal convection, obtained at a Rayleigh number of 1.5 × 10 11 , it is shown that the temperature structure functions ⟨Δ T r p ⟩, where Δ T r is the absolute value of the temperature increment over a distance r , can be well represented in an intermediate range of scales by r ζ p φ( r ) p , where the ζ p are the scaling exponents appropriate to the passive scalar problem in hydrodynamic turbulence and the function φ( r ) = 1 − a (ln r / r h ) 2 . Measurements are made in the midplane of the apparatus near the sidewall, but outside the boundary layer.

Citations