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Code Manual for CONTAIN 2.0 - Federation of American Scientists

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Table 4-2<br />

Conservation <strong>of</strong> Momentum Equation <strong>for</strong> Flow Between Cell i and Cell j (Continued)<br />

Sote that <strong>for</strong> quasi-steady flow paths without inertia, including the dedicated suppression pool<br />

vent in submerged state, the definition <strong>of</strong> Wij is discussed in Section 4.4.2. In the above<br />

Wij = total mass flow rate <strong>of</strong> gases, coolant vapor, and homogeneously<br />

dispersed liquid coolant through a gas flow path or <strong>of</strong> pool coolant<br />

through a pool flow path. Note that flow paths in the following<br />

discussion, including the suppression pool vent, will be indexed by ij,<br />

even though more than one path may be present between cells i and j;<br />

Wi~~rjj = total mass flow rate in the inertial flow model;<br />

Wc,,ij = critical flow rate <strong>for</strong> a gas path, defined in Equation (4-5);<br />

~ij = inventory factors defined in Table 4-1 that reflect the pool-gas<br />

hierarchy, as discussed in Section 4.2;<br />

t = time;<br />

CK = user-specified irreversible flow loss coefficient <strong>for</strong> the flow path;<br />

% = the flow path density, which depends on the flow option used. For the<br />

implicit flow option, pu = pi if i is the upstieam cell, and pu = pj if j is the<br />

upstream cell. For the explicit (Runge-Kutta) flow option, pu = (pi +<br />

pj)/2;<br />

Pi = gas, vapor, and homogeneously dispersed liquid density in cell i <strong>for</strong> a<br />

gas path; pool density in cell i <strong>for</strong> a pool path;<br />

Pj = gas, vapor, and homogeneously dispersed liquid density in cell j <strong>for</strong> a<br />

gas path; pool density in cell j <strong>for</strong> a pool path;<br />

Ai&,j = user-specified area to length ratio <strong>of</strong> the flow path;<br />

Aij = flow path area;<br />

A~j = ~j <strong>for</strong> a pool flow path or gas flow path when the downstream end is<br />

not submerged below the pool in the downstream cell, and A~j =<br />

min(lAPijl/lOOO, 1) Aij when the downstream end is submerged;<br />

Rev. O 4-15 6/30/97

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