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KURENAI : Kyoto University Research Information Repository

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BI. 2 DROPLET GENERATION MECHANISMS<br />

Droplets can be generated by a number of different ways such as the liq-<br />

uid jet breakup, droplet disintegration and droplet entrainment from a body<br />

of liquid [1,12-14]. The former two mechanisms have been reviewed in detail<br />

by Brodkey [12]. A liquid jet or sheet disintegrates into small droplets due<br />

to interfacial instabilities [15,16].<br />

Disintegration of droplets in gas stream has been studied by a number of<br />

researchers [12,13,17-23]. Several different mechanisms of droplet break-up<br />

have been recognized. The mode by which the disintegration occurs depends on<br />

the initial droplet size and the flow condition. A large free-falling drop<br />

initially becomes unstable due to the Taylor instability and then it is blown<br />

in by gas and disintegrates into fine droplets.<br />

A criterion for droplet disintegration can be expressed in terms of the<br />

Weber number defined by<br />

p v2D<br />

We = g 6g(1)<br />

where D is the droplet size. Then the criterion is given by a critical Weber<br />

number beyond which droplets disintegrate into smaller droplets.<br />

In case of a falling drop, the critical Weber number is given [13,17,20]<br />

We c= 22(falling drop) .(2)<br />

However, direct observations of droplet sizes indicate that the critical di-<br />

ameter is approximately given [22,24] by<br />

D c - (4 6) a /gap .(3)<br />

This value can be also obtained from the consideration of the Taylor Instabil-<br />

ity [22]. On the other hand, the terminal velocity of a large drop [24,25]<br />

is about<br />

v = (1.4 ti 1.7)<br />

•<br />

cig6,P\<br />

Pg<br />

1/4<br />

157<br />

(4)

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