An energy analysis of the stability of flexible filaments in coaxial flow
Abstract
An energy-balance equation is obtained for flexible filaments of constant and variable lengths oscillating in coaxial flow. It is found that for any boundary conditions, the stability of a filament increases with internal and external damping, and decreases with hydrodynamic drag. It is also shown that tensile and gyroscopic forces applied to the free end of a filament increase the filament stability, whereas the centrifugal force of the associated liquid mass has the opposite effect.
- Publication:
-
Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
- Pub Date:
- December 1982
- Bibcode:
- 1982DoUkr.......39I
- Keywords:
-
- Bending Vibration;
- Coaxial Flow;
- Dynamic Stability;
- Elastohydrodynamics;
- Energy Methods;
- Centrifugal Force;
- Elastic Damping;
- Filaments;
- Flexible Bodies;
- Forced Vibration;
- Friction Drag;
- Gyroscopic Stability;
- Pipe Flow;
- Tensile Stress;
- Fluid Mechanics and Heat Transfer