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KURENAI : Kyoto University Research Information Repository

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Substituting Eqs. (3) and (4) into Eq. (1), one gets the critical Weber number<br />

to be<br />

We c'= 817 .(5)<br />

This value is much smaller than the one given by Eq. (2), however, it is<br />

considered to be a more reliable criterion for large drops.<br />

When a droplet is suddenly exposed into a gas stream, violent shatter-<br />

ing of droplets becomes possible.. In this case, the critical Weber number is<br />

about 10 to 12 for low viscous fluids _[13,18,20,21]. However, a significant<br />

effect of the liquid viscosity has been observed. Thus Hinze [13] correlated<br />

it in terms of the viscosity group (uf/pfDa) as<br />

We c= 12<br />

Later some<br />

group as<br />

1+<br />

We c= 12 + 14<br />

2<br />

of<br />

pfDo<br />

0.36<br />

In view of Eqs. s. (5) and (7), it may be concluded that the criterion given by<br />

Eq. (7) is a good g general purpose correlation for droplet disintegrations in<br />

gas stream.<br />

2<br />

of<br />

p fDa<br />

The third d mech mechanism is the disintegration of fluid particles by strong<br />

turbulent motions ions c of a continuous phase [13,17]. This occurs mainly in bub-<br />

bly flow or droplet roplet in liquid flow. For highly turbulent flow, the value of<br />

the critical Weber number is given approximately [13,17] by<br />

We 2 ti 2.5 .(8)<br />

c= 1,2ti2.<br />

has been<br />

0.8<br />

It is noted that hat th these critical Weber numbers are sensitive to flow conditions .<br />

For example, in a p pulsating flow the value of We can be reduced by as much as<br />

50% of the one e give given by Eq. (7).<br />

proposed [12] using the same<br />

dimensionless<br />

Another import important but quite different type of generation of droplets is<br />

associated with th ent entrainment of droplets at gas-liquid interfaces [1<br />

,2,14]. In<br />

158<br />

(6)<br />

(7)

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