Fluctuations of temperature gradients in turbulent thermal convection

Details Fluctuations of temperature gradients in turbulent thermal convection Fluctuations of temperature gradients in turbulent thermal convection

2005-03-22

arxiv.org/abs/nlin/0503045v1

Phys.Rev.E71:035302,2005; Phys.Rev.E71:035302R,2005

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.71.035302

Broad theoretical arguments are proposed to show, formally, that the magnitude G of the temperature gradients in turbulent thermal convection at high Rayleigh numbers obeys the same advection-diffusion equation that governs the temperature fluctuation T, except that the velocity field in the new equation is substantially smoothed. This smoothed field leads to a -1 scaling of the spectrum of G in the same range of scales for which the spectral exponent of T lies between -7/5 and -5/3. This result is confirmed by measurements in a confined container with cryogenic helium gas as the working fluid for Rayleigh number Ra=1.5x10^{11}. Also confirmed is the logarithmic form of the autocorrelation function of G. The anomalous scaling of dissipation-like quantities of T and G are identical in the inertial range, showing that the analogy between the two fields is quite deep.

Affiliated with

Also associated with

No associations

Rating

Fluctuations of temperature gradients in turbulent thermal convection does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuations of temperature gradients in turbulent thermal convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuations of temperature gradients in turbulent thermal convection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684574