Related Experiment Videos
Footprint geometry and sessile drop resonance
Chun-Ti Chang1, Susan Daniel2,3, Paul H Steen2,4
1Department of Mechanical Engineering, National Taiwan University, Taipei 16017, Taiwan, Republic of China.
Physical Review. E
|April 19, 2017
Summary
Sessile drops with square footprints exhibit two resonance modes: characteristic spherical modes and constrained grid modes. Footprint geometry and capillarity determine which modes dominate, influencing wave behavior.
Area of Science:
- Fluid dynamics
- Surface physics
- Nonlinear dynamics
Background:
- Sessile drops exhibit complex resonance behaviors influenced by their shape and surrounding environment.
- Understanding these modes is crucial for applications involving liquid interfaces and wave phenomena.
Purpose of the Study:
- To experimentally investigate the resonance modes of sessile drops with square footprints.
- To differentiate between characteristic sessile drop modes and those arising from geometric constraints.
Main Methods:
- Experimental observation of modal behaviors in square-footprint sessile drops.
- Analysis of dispersion characteristics to distinguish between mode families.
- Comparison with circular sessile drops and free spherical drops.
Main Results:
- Two distinct families of resonance modes were identified: "spherical modes" and "grid modes."
- Spherical modes resemble those of circular sessile drops, while grid modes are linked to square Faraday waves.
- Dispersion behavior clearly distinguishes the two mode families.
Conclusions:
- Sessile drop resonance is governed by the competition between footprint geometry-driven wave-number selection and capillarity.
- Square footprint constraint predominantly induces grid modes, while unconstrained or less constrained drops show spherical modes.
- The study provides insights into surface wave behavior under varying degrees of constraint.