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KURENAI : Kyoto University Research Information Repository

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The experimental data show that the entrainment Efg is a strong<br />

function of the gas superficial velocity jgand the distance from the<br />

surface of a pool h. When the entrainment is plotted against the gas<br />

superficial velocity at a fixed distance h-, at least three entrainment<br />

regimes can be observed [33,38,49]. In a low gas flux regime, the<br />

entrainment is small and entrained liquid consists of very fine<br />

droplets. In this regime, Efg is approximately proportional to the gas<br />

flux. In an intermediate gas flux regime, larger drops are ejected from the<br />

pool and Efg increases with 4"4. At a higher gas flux, large gas slugs<br />

are formed and a pool is highly agitated. Then a considerable amount of<br />

liquid can be entrained by splashing. In this high gas flux regime, Efg<br />

increases very rapidly with the gas flux, i.e., Efg4-20.<br />

As for the effect of the distance from the surface of a pool, there<br />

are at least two distinct regions. In the first region (momentum<br />

controlled region), entrainment consists of larger droplets which rise due<br />

to their initial momentum at the surface and smaller droplets which are<br />

carried away by streaming gas. In this region, Efg decreases rapidly with<br />

increasing distance, i.e., Efg h-3. In the second region (deposition<br />

controlled region), entrainment consists only of small droplets whose<br />

terminal velocity is smaller than the gas velocity. Entrainment in this<br />

region decreases gradually due to the droplet depositions. This trend can<br />

be expressed as an exponential decay function of the height.<br />

Although there have been no theoretical methods of predicting<br />

entrainment, several semi-empirical correlations [37,40,46] based on<br />

various data [35,38,39,41,44,49] and dimensional analyses have been<br />

proposed.<br />

Kruzhilin [37] proposed a dimensionless correlation for the<br />

intermediate gas flux regime and momentum controlled region based on a<br />

dimensional analysis. With an assumption that the initial velocity of<br />

droplets at the interface is determined by the kinetic energy of vapor<br />

Pgj9/2,he obtained<br />

Efg = CK 3g4ppAID<br />

f<br />

Here ,j9 is the dimensionless gas flux defined by<br />

257

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