Vibration of a Flattened Drop. II. Normal Mode Analysis
Abstract
A hydrodynamical model is developed to analyse vibration of a liquid drop on a horizontal bed. The drop has a flattened shape by the gravity and the surface tension. The fluid is assumed inviscid and to move nearly horizontally, so that the shallow water theory is applied, and a set of governing equations for the vibration is derived. It is applied to a small-amplitude oscillation and a normal mode solution is obtained, where the drop shows a standing wave along its periphery. The predicted vibration frequency agrees with the experiment by the present authors.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- July 1985
- DOI:
- 10.1143/JPSJ.54.2462
- Bibcode:
- 1985JPSJ...54.2462T
- Keywords:
-
- Drops (Liquids);
- Hydrodynamics;
- Interfacial Tension;
- Liquefied Gases;
- Nucleate Boiling;
- Vibration Mode;
- Evaporation;
- Inviscid Flow;
- Modal Response;
- Rayleigh Equations;
- Shallow Water;
- Standing Waves;
- Fluid Mechanics and Heat Transfer