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KURENAI : Kyoto University Research Information Repository

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where E is given by<br />

For<br />

The<br />

E = tanh<br />

The fully<br />

(7.25 x 10-7We1.25Ref0.25)<br />

developed or over entrained regionis defined by<br />

—E 1 or Reff < Re ff. '<br />

•(1 0.925 .6 x 10-7(RefWe) :1_9)uD= 6 (i - E)0.185<br />

this region the entrainment rate becomes<br />

diffusion based droplet deposition rate<br />

a0 = 0 .022<br />

of<br />

Ref0.74 (u.9 0.26 E0.74<br />

of<br />

It should be noted that there is<br />

which the entrainment mechanism based<br />

stops. Thus one obtains<br />

e = 0 for Reff < 160<br />

u<br />

a<br />

on<br />

0.26 ff<br />

is<br />

cut off film<br />

shearing-off<br />

Reynolds number below<br />

of roll-wave crests<br />

for low viscous fluid such as water.At extremely high gas flux, another en-<br />

trainment mechanism becomes possible, however, for most practical systems<br />

this can be considered as the entrainment shut off point.<br />

The present correlation indicates that the entrainment rate depends on<br />

the total liquid Reynolds number, Weber number, equilibrium entrainment frac-<br />

tion Em and entrainment fraction E or the local film Reynolds number Reff.<br />

These correlations are compared to a number of experimental data both in<br />

terms of the entrainment rate and entrainment fraction. The results are<br />

shown to be satisfactory both in the developing region and fully developed<br />

entrainment region.<br />

214

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