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ORNL-4191 - the Molten Salt Energy Technologies Web Site

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I<br />

93<br />

DIkFU5ION DIFFUSION COLCFICILNl COEFFlClENl- OF XP Xe IN RAPI-IITE- ft2/hr<br />

--!<br />

I<br />

~.<br />

..__.____....... ~~~~I<br />

........... I .......<br />

=i:% %j<br />

. .. . .. . . . .. .. . . . . . . . . .<br />

0 i 2 3 4 5 F<br />

MASS TRANSFEH COEFFICIENT TO ClRCUCAllNG OUBBLE (ft/hrl<br />

Fig. 7.2. Effect of Bubble Mass Transfer Coefficient on 135Xe Poison Fraction.<br />

The top line is )r no xenon removal through circulating<br />

bubbles, and <strong>the</strong> poison fraction approaches<br />

that for a solid-fueled reactor. The o<strong>the</strong>r lines are<br />

for various circulating bubble parameters as indicated.<br />

From this figure it can be seen that <strong>the</strong><br />

poison fraction is not a strong function of <strong>the</strong> diffusion<br />

coefficient over <strong>the</strong> range from to<br />

This is because <strong>the</strong> mass transfer coefficient from<br />

salt to graphite is <strong>the</strong> controlling resistance for<br />

migration of 13’Xe into <strong>the</strong> graphite. Since lJsXe<br />

in <strong>the</strong> graphite is <strong>the</strong> greatest contributor to <strong>the</strong><br />

total poison fraction, <strong>the</strong> parameters that control<br />

its migration will, in turn, control <strong>the</strong> poison fraction.<br />

For permeabilities -: <strong>the</strong> resistance of<br />

<strong>the</strong> graphite starts becoming significar. .. The<br />

mass transfer coefficients to graphite were com-<br />

puted from <strong>the</strong> Dittus-Boelter equation as modified<br />

by <strong>the</strong> heat-mass transfer analogy.<br />

Figure 7.2 shows <strong>the</strong> effect of <strong>the</strong> mass transfer<br />

coefficient to <strong>the</strong> bubble on <strong>the</strong> poison fraction.<br />

This mass transfer coefficient is one of <strong>the</strong> least<br />

well known and most significant of <strong>the</strong> parameters<br />

involved. Available information indicates its<br />

extreme values to be 0.7 and approximately 6<br />

ft/hr. Values of 0.7 to 0.8 ft/hr were estimated<br />

assuming that <strong>the</strong> bubbles behave as solid spheres<br />

and have a fluid dynamic boundary layer. Values<br />

near 3.5 ft/lir were estimated assuming that as <strong>the</strong>

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