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Code Manual for CONTAIN 2.0 - Federation of American Scientists

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(7-3)<br />

where d(&(t)/dt is the time rate <strong>of</strong><br />

———<br />

change <strong>of</strong> aerosol mass <strong>of</strong> component k per unit volume in section<br />

1 at time t and the coefficients (~ ,G,S, and ~) are defined below. This equation describes the<br />

evolution <strong>of</strong> the aerosol size and composition distributions within one computational cell. Each cell<br />

has its own particle size and composition distributions, and the aerosols are carried from one cell to<br />

the next by intercell gas flow, as discussed in Section 7.8, but the cell dependence and flow terms<br />

are not explicitly represented in Equation (7-3). It should be noted that the ~ condensation terms<br />

in the above equation are written <strong>for</strong> condensing conditions within the fixed-grid option discussed<br />

in Section 7.2.2 A similar expression is used <strong>for</strong> evaporating conditions.<br />

The coefficients in Equation (7-3) correspond to the following mechanisms:<br />

Coefficient Represents<br />

F<br />

Agglomeration, m3/s-kg,<br />

G Vapor condensation,s- 1,<br />

s Sources, kg/m3-s,<br />

% Deposition, kg/m3-s.<br />

The six types <strong>of</strong> agglomeration coefficients in Equation (7-3) represent the following processes:<br />

‘a~ij,$<br />

‘b~ij,t<br />

‘iPi,l<br />

addition <strong>of</strong> component k in section ~,through a particle in section j coagulating with<br />

a particle in section i to <strong>for</strong>m a particle in section !. In this case, the component k<br />

comes from section j.<br />

addition <strong>of</strong> component k in section 1,through a particle in section i coagulating with<br />

a particle in section j to <strong>for</strong>m a particle in section I?.In this case, the component k<br />

comes from section i.<br />

removal <strong>of</strong> component k in section 1,through a particle in section i coagulating with<br />

a particle in section !, and <strong>for</strong>ming a particle larger than those in 1.<br />

Rev O 78 6/30/97

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