A liquid drop placed on a vibrating diaphragm will burst into a fine spray of
smaller secondary droplets if it is driven at the proper frequency and amplitude. The
process begins when capillary waves appear on the free surface of the drop and then
grow in amplitude and complexity as the acceleration amplitude of the diaphragm
is slowly increased from zero. When the acceleration of the diaphragm rises above
a well-defined critical value, small secondary droplets begin to be ejected from the
free-surface wave crests. Then, quite suddenly, the entire volume of the drop is ejected
from the vibrating diaphragm in the form of a spray. This event is the result of an
interaction between the fluid dynamical process of droplet ejection and the vibrational
dynamics of the diaphragm. During droplet ejection, the effective mass of the
drop–diaphragm system decreases and the resonance frequency of the system increases. If
the initial forcing frequency is above the resonance frequency of the system, droplet
ejection causes the system to move closer to resonance, which in turn causes more
vigorous vibration and faster droplet ejection. This ultimately leads to drop bursting.
In this paper, the basic phenomenon of vibration-induced drop atomization and drop
bursting will be introduced, demonstrated, and characterized. Experimental results
and a simple mathematical model of the process will be presented and used to explain
the basic physics of the system.
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The sonographic appearance of the endometrium was correlated to histopathologic findings in 38 patients who underwent hysterectomy. The thickness was accurately assessed by sonography (within +/- 1 mm) in 33 of 38 patients. The hypoechoic halo which surrounds the endometrium was found to represent the inner third of the myometrium which is relatively vascular and compact. In postmenopausal patients who are not receiving hormonal replacement, an endometrium of greater than 5 mm should be considered abnormal. Several causes of abnormally thick endometrium were encountered in this study, including endometrial carcinoma, hyperplasia, adenomyosis, hematometria, mucometria, and pyometria. Sonography was found to be accurate in determining the depth of myometrial invasion in adenocarcinoma.
Vibration-induced droplet ejection is a novel way to create a spray. In this method,
a liquid drop is placed on a vertically vibrating solid surface. The vibration leads to
the formation of waves on the free surface. Secondary droplets break off from the
wave crests when the forcing amplitude is above a critical value. When the forcing
frequency is small, only low-order axisymmetric wave modes are excited, and a single
secondary droplet is ejected from the tip of the primary drop. When the forcing
frequency is high, many high-order non-axisymmetric modes are excited, the motion
is chaotic, and numerous small secondary droplets are ejected simultaneously from
across the surface of the primary drop. In both frequency regimes a crater may
form that collapses to create a liquid spike from which droplet ejection occurs. An
axisymmetric, incompressible, Navier–Stokes solver was developed to simulate the
low-frequency ejection process. A volume-of-fluid method was used to track the free
surface, with surface tension incorporated using the continuum-surface-force method.
A time sequence of the simulated interface shape compared favourably with an
experimental sequence. The dynamics of the droplet ejection process was investigated,
and the conditions under which ejection occurs and the effect of the system parameters
on the process were determined.
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