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KURENAI : Kyoto University Research Information Repository

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*<br />

' As shown in Figs . 7 through 17, the entrainment<br />

the third power of j9/h*, which is also predicted by<br />

Eq. (95). In collaboration with these experimental<br />

proportionality constant C, and exponents n2 and n3<br />

determined. Then the final form of the correlation<br />

the momentum controlled region is given by<br />

amount increases with<br />

the present model by<br />

data, the<br />

in Eq. (95) are<br />

for the entrainment in<br />

Efg(h,jg) = 5.417 x 106 jg3 h*-3 Nug5 D*1.25 (\0.31 oP (96)<br />

Figure 19 shows the comparison of various data to the above<br />

**<br />

correlation in Efg/{Nug5 DH1.25vs. 0)-0.311 jg/hplane. As can be<br />

seen from this comparison, Eq. (96) satisfactorily correlates the wide<br />

range of experimental data for entrainment in the momentum controlled<br />

region. Further comparisons of data to the correlation are shown in Figs.<br />

7 through 18. This correlation applies to the intermediate gas flux<br />

regime.<br />

Figure 19 shows that at low values of j*g/h*, the dependence of the<br />

entrainment on j*g/h* changes. This change is caused by the flow regime<br />

transition in a liquid pool. As mentioned in Section V, when the gas<br />

velocity is small, the flow regime becomes bubbly flow. The discrete<br />

bubbles rise up to the pool interface and collapse there. This is<br />

different from the mechanisms under which Eq. (96) is derived. In this<br />

bubbly flow regime, the droplet size distribution and initial velocity<br />

distribution may be quite different from those predicted by Eqs. (40) and<br />

(65). This regime corresponds to the low gas flux regime previously<br />

mentioned. Indeed, the change from the low to intermediate gas flux<br />

regime occurs approximately atj9 predicted by Eq. (42) which is derived<br />

from the criteria of flow regime transition from bubbly to churn turbulent<br />

flow in a pool.<br />

Although data are scarce and considerable scattering is observed, the<br />

entrainment in the low gas flux regime may be correlated by<br />

281

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