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Code Manual for CONTAIN 2.0 - Federation of American Scientists

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The condensation<br />

Reference Pru78:<br />

rate is calculated from a simplified version <strong>of</strong> the Mason equation presented in<br />

G= (7-15)<br />

where dPis the particle diameter, pcis the density <strong>of</strong> water, awis the activity <strong>of</strong> water, and a is the<br />

surface tension specified by the keyword SURTEN. The remaining terms in Equation (7-15) are<br />

previously defined in Equation (7-14). Note that Equation (7-15) includes solute and Kelvin effects,<br />

whereas Equation (7-14) does not. Simplifications have been made in Equation (7-15) with respect<br />

to the vapor diffusivity and gas conductivity: these are not corrected <strong>for</strong> finite gas mean free path<br />

effects, as they are in the original expression in Reference Pru78.<br />

The activity can be expressed as<br />

[1 Ev~m~MW<br />

aW=exp -<br />

s m$%<br />

(7-16)<br />

where v~is the volubility factor <strong>of</strong> the salt, given by the SOLUBLE keyword discussed in Section<br />

14.2.5, rnsis the mass <strong>of</strong> salts on the particle, and M, is the molecular weight <strong>of</strong> the salt.<br />

After the particle growth calculation is completed the aerosol is remapped from this moving grid<br />

<strong>for</strong>mulation to the fixed-grid <strong>for</strong> calculation <strong>of</strong> aerosol agglomeration and deposition effects. The<br />

remapping is per<strong>for</strong>med by approximating the particle mass distribution as being constant with<br />

respect to the logarithm <strong>of</strong> particle diameter.<br />

7.2.3 Deposition<br />

Containment aerosols can deposit or settle onto the surfaces <strong>of</strong> heat transfer structures and onto the<br />

coolant pool in the lower cell. Deposition on such surfaces occurs through four processes:<br />

gravitational settling, diffusion to surfaces, thermophoresis, and diffusiophoresis. Of these natural<br />

depletion processes, gravitational settling is <strong>of</strong>ten the dominant mechanism, although phoretic effects<br />

may be significant in some cases. In general, particle diffusion is considered to be a relatively<br />

unimportant deposition process. The velocities <strong>for</strong> each <strong>of</strong> these deposition processes are defined<br />

below. Note that deposition with respect to engineered systems is modeled somewhat differently<br />

from that <strong>for</strong> structures and pools and is discussed in Sections 7.4 through 7.6.<br />

Gravitational Settling. The gravitational deposition removal mechanism is governed by the<br />

following particle settling velocity:<br />

Rev O 720 6/30/97

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