The generation of capillary instabilities by external disturbances in a liquid jet
Abstract
The receptivity problem in a circular liquid jet is considered. A time harmonic axial pressure gradient is imposed on the steady, parallel flow of a jet of liquid emerging from a circular duct. Using a technique developed in plasma physics a causal solution to the forced problem is obtained over certain ranges of Weber number of a number of mean velocity profiles. This solution contains a term which grows exponentially in the downstream direction and can be identified with a capillary instability wave. Hence it is found that the externally imposed disturbances can indeed trigger instability waves in a liquid jet. The amplitude of the instability wave generated relative to the amplitude of the forcing is computed numerically for a number of cases.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1985
- Bibcode:
- 1985PhDT........34L
- Keywords:
-
- Axial Loads;
- Capillary Flow;
- Flow Stability;
- Fluid Jets;
- Liquids;
- Perturbation;
- Computational Fluid Dynamics;
- Ducted Flow;
- Jet Flow;
- Parallel Flow;
- Steady Flow;
- Fluid Mechanics and Heat Transfer