Wind reversals in turbulent Rayleigh-Benard convection

Details Wind reversals in turbulent Rayleigh-Benard convection Wind reversals in turbulent Rayleigh-Benard convection

2004-07-13

arxiv.org/abs/nlin/0407031v2

Phys. Rev. Lett. 95, 084502 (2005)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.95.084502

The phenomenon of irregular cessation and subsequent reversal of the large-scale circulation in turbulent Rayleigh-B\'enard convection is theoretically analysed. The force and thermal balance on a single plume detached from the thermal boundary layer yields a set of coupled nonlinear equations, whose dynamics is related to the Lorenz equations. For Prandtl and Rayleigh numbers in the range $10^{-2} \leq \Pr \leq 10^{3}$ and $10^{7} \leq \Ra \leq 10^{12}$, the model has the following features: (i) chaotic reversals may be exhibited at Ra $\geq 10^{7}$; (ii) the Reynolds number based on the root mean square velocity scales as $\Re_{rms} \sim \Ra^{[0.41 ... 0.47]}$ (depending on Pr), and as $\Re_{rms} \sim \Pr^{-[0.66 ... 0.76]}$ (depending on Ra); and (iii) the mean reversal frequency follows an effective scaling law $\omega / (\nu L^{-2}) \sim \Pr^{-(0.64 \pm 0.01)} \Ra^{0.44 \pm 0.01}$. The phase diagram of the model is sketched, and the observed transitions are discussed.

Affiliated with

Also associated with

No associations

Rating

Wind reversals in turbulent Rayleigh-Benard 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 Wind reversals in turbulent Rayleigh-Benard convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wind reversals in turbulent Rayleigh-Benard convection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335363