Order and disorder in fluid motion.
- 18 July 1995
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 92 (15) , 6705-6711
- https://doi.org/10.1073/pnas.92.15.6705
Abstract
The development of complex states of fluid motion is illustrated by reviewing a series of experiments, emphasizing film flows, surface waves, and thermal convection. In one dimension, cellular patterns bifurcate to states of spatiotemporal chaos. In two dimensions, even ordered patterns can be surprisingly intricate when quasiperiodic patterns are included. Spatiotemporal chaos is best characterized statistically, and methods for doing so are evolving. Transport and mixing phenomena can also lead to spatial complexity, but the degree depends on the significance of molecular or thermal diffusion.Keywords
This publication has 14 references indexed in Scilit:
- Spatial and temporal averages in chaotic patternsPhysical Review Letters, 1993
- Spiral defect chaos in large aspect ratio Rayleigh-Bénard convectionPhysical Review Letters, 1993
- Spiral defect chaos in a model of Rayleigh-Bénard convectionPhysical Review Letters, 1993
- Time averaging of chaotic spatiotemporal wave patternsPhysical Review Letters, 1993
- Onset of spatially chaotic waves on flowing filmsPhysical Review Letters, 1993
- Noise-sustained structure in Taylor-Couette flow with through flowPhysical Review Letters, 1991
- Transitions between patterns in thermal convectionPhysical Review Letters, 1991
- Thermally induced hydrodynamic fluctuations below the onset of electroconvectionPhysical Review Letters, 1991
- Instabilities of one-dimensional cellular patternsPhysical Review Letters, 1990
- Chaotic particle transport in time-dependent Rayleigh-Bénard convectionPhysical Review A, 1988