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Code Manual for CONTAIN 2.0 - Federation of American Scientists

Code Manual for CONTAIN 2.0 - Federation of American Scientists

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A number <strong>of</strong> reference elevations are also used <strong>for</strong> the lower cell repositories in a given cell,<br />

depending on the material and whether a transfer is involved. With the exception <strong>of</strong> liquid coolant ~<br />

and gases and aerosols directed to and from the coolant pool, the reference elevation <strong>for</strong> computing<br />

the gravitational potential energy <strong>for</strong> a lower cell repository is the cell-bottom elevation. For<br />

transfers <strong>of</strong> liquid coolant to and from the pool, the reference elevation is taken to be the pool surface<br />

elevation, computed on the basis <strong>of</strong> the cell-bottom elevation, the pool cross-sectional area, and the<br />

pool coolant density. For purposes <strong>of</strong> calculating. the repository potential energy <strong>of</strong> the pool coolant,<br />

the reference elevation is the pool-center elevation. With respect to gases and aerosols introduced<br />

into the pool through flow path or the boiling water reactor safety relief valve or suppression vent<br />

models, the reference elevation <strong>for</strong> the point <strong>of</strong> introduction is given by the injection height above<br />

cell bottom. With respect to gases and aerosols introduced into the pool through core-concrete<br />

interactions modeled by CORCON, the reference elevation <strong>for</strong> the point <strong>of</strong> introduction is the cellbottom<br />

elevation. The reference elevation <strong>for</strong> the point <strong>of</strong> departure from the pool <strong>of</strong> gases and<br />

aerosols is the pool surface elevation defined above. For all other materials in the coolant pool and<br />

<strong>for</strong> all materials in all other lower cell layers, the reference elevation is the cell-bottom elevation.<br />

It should be noted that the latter elevation is fixed and not allowed to change in conjunction with<br />

concrete or intermediate layer inventory changes in the course <strong>of</strong> a problem.<br />

Repository pressures are also needed to define the repository energy and inter-repository energy<br />

transfers and are defined in the following way. For repositories adjacent to the gas space, or free<br />

volume, in a cell, the gas pressure is taken to be the gas center-<strong>of</strong>-volume pressure, without<br />

adjustment <strong>for</strong> the variation in gas pressure in a cell due to gas gravitational heads. Such an<br />

assumption affects processes such as the intercell flow <strong>of</strong> liquid between pools. Note, however, that<br />

in this case, the pressure is adjusted <strong>for</strong> the liquid heads present. The neglect <strong>of</strong> gas pressure ~<br />

variation within a cell should affect only slightly the partitioning <strong>of</strong> liquid between pools in different<br />

cells, or the partitioning <strong>of</strong> energy between the atmosphere and pool.<br />

The initial energy EO,iis the total energy <strong>for</strong> repository i at the start <strong>of</strong> the calculation<br />

(A-3)<br />

where N~~~is the number <strong>of</strong> thermodynamic materials in the problem, m~x is the initial mass <strong>of</strong><br />

thermodynamic material kin repository i; ~ is the initial temperature <strong>of</strong> repository i; Rx is the initial<br />

pressure <strong>of</strong> material k in repository i; g is the acceleration due to gravity; and ~,~ is the initial<br />

repository-average reference elevation <strong>of</strong> material k in repository i. As discussed above, <strong>for</strong> liquid<br />

water in a lower cell pool, this elevation is the pool-center elevation. All other average reference<br />

elevations are either the gas-center-<strong>of</strong>-volume (gas-center) elevation, cell-center elevation, or cellbottom<br />

elevation, depending on the repository.<br />

The external source energy E~j is defined as the sum <strong>of</strong> the energies due to external source tables,<br />

the coupling to external repositories, and heat conduction boundary conditions at external<br />

boundaries:<br />

R O A6 6/30/97

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