||ME 6601 or equivalent, or with the consent of the instructor
||The hydrodynamic stability of fluid flows using linear, energy, and non-linear stability theories. Studies of Taylor-Couette, buoyancy-driven, surface-tension-driven, shear, and thin-film flows.
||Philip G. Drazin and William H. Reid, Hydrodynamic Stability; 1st Edition, Cambridge University Press, 1982.
||Marc K. Smith (ME), Paul Neitzel (ME)
The course is structured so that the student can accomplish the following:
- Learn the fundamentals of three stability theories: linear, energy, and weakly-nonlinear.
- Study in detail the stability characteristics of the following classical fluid flows: Taylor-Couette, buoyancy-driven, surface-tension-driven, shear, and thin film.
- Perform a complete stability analysis on a simple flow of their choice and then describe the problem and the results in a publication-quality report.
- The notion of an unstable fluid flow. The development of linear, energy, and weakly nonlinear stability theories.
- The unstable behavior of the flow between two concentric rotating cylinders.
- The buoyancy-driven instability of a liquid layer heated from below.
- The surface-tension-driven instability of a liquid layer heated from below or from the side.
Liquid Film Flows
- The unstable behavior of inviscid and viscous shear flows such as wakes, jets, and boundary layers.
- The unstable behavior of a thin liquid film flowing down an inclined plane.
- The application of stability theory to flows in which the base state is varying with time.