Kraichnan's random sweeping hypothesis in homogeneous turbulent convection

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 2):037302. doi: 10.1103/PhysRevE.83.037302. Epub 2011 Mar 24.

Abstract

We report an experimental study of the temperature space-time cross-correlation function, C{T}(r,τ), in the central region of turbulent Rayleigh-Bénard convection. The measured C{T}(r,τ) is found to have the scaling form C{T}(r{E},0), where r{E}=[r² +(Vτ)²]¹/² with V being the rms velocity at the center of the convection cell. The experiment confirms the theory by He et al. [Phys. Rev. E 73, 055303(R) (2006)] and demonstrates its applications to homogenous turbulent flows, where the mean flow velocity is zero and Kraichnan's random sweeping hypothesis holds approximately.

Publication types

  • Research Support, Non-U.S. Gov't