Mathematics applied to fluid mechanics and stability; Proceedings of the Conference, Rensselaer Polytechnic Institute, Troy, NY, Sept. 9-11, 1985
Abstract
The mathematical analysis of fluid mechanics and stability and its applications in science and engineering are examined in reviews and reports. Topics addressed include Taylor-vortex flow, isothermal fluid-film lubrication theories, the morphology of spiral galaxies, rotating-fluid problems in ballistics, coupled Lorenz oscillators, the connection between chaos and turbulence, plane-front alloy solidification versus free-surface Benard convection, and the nonlinear stability of spiral flow between rotating cylinders with a small gap. Consideration is given to resonance conditions for forced two-dimensional channel flows, the secondary bifurcation of standing surface waves in rectangular basins, instability in the flow of granular materials, and the supercritical dynamics of baroclinic disturbances.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- 1986
- Bibcode:
- 1986STIA...8734692D
- Keywords:
-
- Applications Of Mathematics;
- Conferences;
- Fluid Mechanics;
- Systems Stability;
- Benard Cells;
- Branching (Physics);
- Channel Flow;
- Convective Flow;
- Cylindrical Shells;
- Eigenvalues;
- Floquet Theorem;
- Granular Materials;
- Gravitational Effects;
- Lubricants;
- Oscillators;
- Shell Theory;
- Standing Waves;
- Sturm-Liouville Theory;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer