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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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then expanded to first order around the interface temperature T’i~from the last iteration. For<br />

example, the saturation vapor pressure at the interface Pvj~is approximated as<br />

Pvi~ = P,T: + ()<br />

@,(Ti) (Tif- ‘i)<br />

dT<br />

The energy balance equation can then be represented, after some rearrangement, in the <strong>for</strong>m<br />

(10-154)<br />

q’ - bAT + a(AT)2 = hmAT (10-155)<br />

where AT = Ti~- TW.To give an example <strong>of</strong> the coefficients, <strong>for</strong> condensing conditions and Aq =<br />

O,these have the <strong>for</strong>m<br />

q’ = ‘c(Tb-TW)‘j’ (%,b-$)+ qrad+qaer+qeXt‘(jaer ‘jext~t<br />

b = hC+(j’ +j&r+j~Xt)c~,4 +MvK~ dT ,<br />

dmf)c,pt<br />

a = MVK g dT ‘<br />

‘s(T;f)(hvb_fi~<br />

k the above, hCis the convective heat transfer coefficient, ~,b is<br />

c~,~is the liquid specific heat at T~PAlso,<br />

fit = hf(T:) - c~,,(T:f-T~)<br />

1<br />

J‘ = MvKg (Pv,b- ‘pS(T:f) (T;f_TW)<br />

‘s(T;f)) + dT<br />

[<br />

(10-156)<br />

(10-157)<br />

(10-158)<br />

the vapor enthalpy in the bulk gas;<br />

(10-159)<br />

(10-160)<br />

Equation (10-155) is solved <strong>for</strong> Ti~and the assumed conditions (condensing or evaporating, and in<br />

some cases, dry surface or wet) are checked <strong>for</strong> consistency. If the assumed conditions are not<br />

consistent, an alternative is selected and Ti~recalculated until consistent conditions are found. The<br />

iterations are continued until consistency and convergence in Ti~is found. In the event the surface<br />

is wet initially but dries out during the <strong>CONTAIN</strong> timestep, time-averaged heat transfer and a timeaveraged<br />

Tifweighting the wet and dry periods are calculated.<br />

10.7 Heat Transfer Control ODtions<br />

The code allows the user to deactivate the heat transfer across certain interfaces on a cell-by-cell<br />

basis through the use <strong>of</strong> an optional keyword HT-TRAN followed by five user-defined flags (see<br />

Section 14.3.1.6). The heat transfer flags correspond, in the order given, to<br />

O 10 73 6/30/97

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