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Code Manual for CONTAIN 2.0 - Federation of American Scientists

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Although the number <strong>of</strong> individual vents present maybe specified by the user in the dedicated<br />

model, the vents are assumed to behave effectively as a single path. There is no provision <strong>for</strong><br />

modeling the clearing <strong>of</strong> vent rows at different elevations. However, the fact that the effective area<br />

<strong>for</strong> gas flow may increase with pressure, as different rows are cleared, maybe simulated through<br />

user-specifiable pressure-range parameters, corresponding to the difference between the pressure<br />

required to initiate gas flow quasi-statically and the pressure required to keep the vents fully cleared.<br />

11.1.2.1 Vent ClearimzTime. The suppression pool vent clearing time is based on the time required<br />

<strong>for</strong> the liquid level on either side <strong>of</strong> the suppression pool to drop to the level at which the vent begins<br />

to clear. The equation <strong>for</strong> the liquid level velocity is based on the Bernoulli mechanical energy<br />

balance equation <strong>for</strong> quasi-steady flow. (Figure 11-4 displays the liquid level velocities <strong>for</strong> typical<br />

BWR containment.)<br />

The Bernoulli equation is<br />

~[v:-v:)+m .,<br />

PW - P~ + ptg(HW- H~) + z L (11-8)<br />

where PWis the wetwell pressure; P~ is the drywell pressure; pt is the pool density g is the<br />

acceleration <strong>of</strong> gravity (9.8 m/s2); HWis the wetwell liquid level; H~is the drywell liquid level; VW<br />

is the wetwell pool rise velocity v~is the drywell-side fall velocity; and APLis the irreversible loss<br />

in total pressure.<br />

Also, the amount <strong>of</strong> liquid removed from the drywell side <strong>of</strong> the vent equals the amount <strong>of</strong> liquid<br />

added to the wetwell side. Thus, flvd= v., where ~ is the ratio <strong>of</strong> the drywell vent area to the wetwell<br />

pool area. Substituting this definition <strong>of</strong> VWinto Equation (11-8) produces<br />

2<br />

Pw - Pd + ptg(Hw - H~) + p$2 - l): +Ap~=O<br />

(11-9)<br />

For flow from the drywell to wetwell, APLin Equation (11-9) can be rewritten<br />

APL = + p[K V: + &’L<br />

~ir60] as follows,<br />

(11-10)<br />

where K is the sudden expansion loss factor in the turbulent flow regime and APLrepresents the<br />

additional loss terms. For-sudden expansion, K = (1/~ - 1)2. There<strong>for</strong>e, by substitution, Equation<br />

(11-l l) becomes<br />

- p)z v: + APL (11-11)<br />

when expressed in terms <strong>of</strong> vd, and Equation (11-9) becomes<br />

where AHdWequals HW– H~,and AP~Wequals PW- p&<br />

(11-12)<br />

Rev O 11 9 6/30/97

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