臺灣博碩士論文加值系統

When a viscous drop is placed on the vertically oscillating liquid bath
with the same fluid, the drop can bounce on the surface for a long time.
We investigate the deformation and the mobility of the bouncing drop induced
by the distorted surface. When the driving frequency is similar to
the ”Rayleigh” frequency fR of the drop, the resonance between the surface
and the bouncing drop occurs. Then the drop is gradually elongated to ellipse
shape. The drop finally rotates and progresses unidirectionally like a
”glider” on the surface. The effect of the shear force acting on the drop from
the surface is observed by the elongate shape of the drop. From the particle
image velocimetry technique, the pattern of flow field under the surface is
visualized which shows the steady streaming vortex flow on the both sides
of the drop. Therefore, when the two drops bounce on the surface simultaneously,
the steady streaming flow mediates the two drops and present three
different coupling states. We found that the coupling distances decrease with
the driving frequency increasing and are related to the capillary wavelength.
The flow fields of each coupling state shows the different velocity distributions
which indicates the various reason of the coupling drops. As the driving
frequency is near the fR, the two bouncing drops present the coupling oscillation
motion on the horizontal direction where the streaming flow field
plays the role of connecting the two drops.

1 Introduction .......................................................i
2 Background .........................................................v
2.1 Bouncing Drop . . . . . . . . . . . . . . . . . . . . . . . . . . v
2.1.1 Drop Impact on Liquid Interface . . . . . . . . . . . . . . . 5
2.1.2 Shape Deformation of Drop and surface . . . . . . . . . . . .8
2.1.3 Wave-drop association . . . . . . . . . . . . . . . . . . . . 11
2.2 Capillary Wave . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.3 Steady Streaming Flow . . . . . . . . . . . . . . . . . . . . . . 15
2.4 Particle Image Velocimetry Technique . . . . . . . . . . . . . . .19
3 Experimental Setup . . . . . . . . . . . . . . . . 21
4 Result and Discussion . . . . . . . . . . . . . . . 24
4.1 Wave-Propelled Bouncing Drop . . . . . . . . . . . . . . . . . . 25
4.2 Vortex Structures Induced by Bouncing drop . . . . . . . . . . . 30
4.3 Different States of Coupling Drops . . . . . . . . . . . . . . . 35
4.4 Interaction between the flow field and the coupling drops . . . . 39
5 Conclusion . . . . . . . . . . . . . . . . . . . 44

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