Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1997-04-21
Nonlinear Sciences
Pattern Formation and Solitons
14 pages, 7 figures. Paper for proceedings of the Vth Bar-Ilan Conference on Frontiers in Condensed Matter Physics, to be publ
Scientific paper
Mean flow effects are discussed for two different pattern-forming systems: Rayleigh-Benard convection and Faraday instability in viscous fluid. In both systems spirals are observed in certain parameter regions. In the Rayleigh-Benard convection, the spiral core instability and subsequent generation of up- and downflow hexagons are shown to occur due to the mean flow generated by the curved rolls near the core. In the Faraday instability, the mean flow which is generated by rapidly decaying surface waves near the wall, causes wavenumber frustration which leads to a rigid-body spiral rotation. In both cases we use phenomenological Swift-Hohenberg-type equations for the order parameter coupled to a large-scale mean flow. Numerical simulations are compared to recently reported experimental results.
No associations
LandOfFree
Spiral Dynamics in Pattern-Forming Systems: Mean Flow Effects 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 Spiral Dynamics in Pattern-Forming Systems: Mean Flow Effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spiral Dynamics in Pattern-Forming Systems: Mean Flow Effects will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-147762