The present status of phase dynamics, the analog of hydrodynamics for large aspect-ratio pattern forming non-equilibrium systems was reviewed. Low frequency, long wavelength excitations in systems such as the regular patterns which arise in the Taylor instability (a simple fluid in the gap between two concentric cylinders was subjected to a torque by rotating the inner or both cylinders) or the Benard instability (a thin layer of fluid heated from below) was examined and the question of nonlinear excitations such as solitary waves addressed. The connection between the phenomenological parameters arising in the phase equations and results obtained from amplitude equations valid close to the onset of a specific pattern were investigated. Suggestions for experiment to test further the concept of phase dynamics have also been included.
NASA STI/Recon Technical Report N
- Pub Date:
- Mathematical Models;
- Aspect Ratio;
- Low Frequencies;
- Taylor Instability;
- Fluid Mechanics and Heat Transfer