Logarithmically modified scaling of temperature structure functions in thermal convection

Abstract

Using experimental data on thermal convection, obtained at a Rayleigh number of 1.5 ×1011, it is shown that the temperature structure functions ⟨ΔTrp⟩, where ΔTr is the absolute value of the temperature increment over a distance r, can be well represented in an intermediate range of scales by rζpφ(r)p, where the ζp are the scaling exponents appropriate to the passive scalar problem in hydrodynamic turbulence and the function φ(r) = 1 − a(ln r/rh)2. Measurements are made in the midplane of the apparatus near the sidewall, but outside the boundary layer.

Locations

• EPL (Europhysics Letters) - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View