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ME 7602: Hydrodynamic Stability
Offered as Required
| Credit Hours: |
3-0-3 |
| Prerequisites: |
ME 6601 or equivalent, or with the consent of the instructor |
| Catalog Description: |
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. |
| Textbooks: |
Philip G. Drazin and William H. Reid, Hydrodynamic Stability; 1st Edition, Cambridge University Press, 1982. |
| Instructors: |
Marc K. Smith (ME), Paul Neitzel (ME) |
| Goals: |
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.
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| Topics: |
- Introduction
- The notion of an unstable fluid flow. The development of linear, energy, and weakly nonlinear stability theories.
- Taylor-Couette Flow
- The unstable behavior of the flow between two concentric rotating cylinders.
- Buoyancy-Driven Flow
- The buoyancy-driven instability of a liquid layer heated from below.
- Thermocapillary Flow
- The surface-tension-driven instability of a liquid layer heated from below or from the side.
- Shear Flows
- The unstable behavior of inviscid and viscous shear flows such as wakes, jets, and boundary layers.
- Liquid Film Flows
- The unstable behavior of a thin liquid film flowing down an inclined plane.
- Time-Dependent Flows
- The application of stability theory to flows in which the base state is varying with time.
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