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Code Manual for CONTAIN 2.0 - Federation of American Scientists

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Furthermore, the composition limits <strong>for</strong> the receiving cell and the incoming gas are independent <strong>of</strong><br />

one another. All <strong>of</strong> these simplifications are at best approximations and maybe quite inaccurate in<br />

some instances. It is recommended that the user check the behavior <strong>of</strong> the DFB model <strong>for</strong> the<br />

calculation <strong>of</strong> interest, and consider whether alternative behaviors are plausible <strong>for</strong> the conditions<br />

<strong>of</strong> the calculation. If alternative behaviors are plausible, sensitivity calculations with parameters set<br />

to obtain the alternative behavior maybe warranted. For example, if the default model predicts that<br />

most <strong>of</strong> the hydrogen should bum as it enters the containment, but it is not entirely clear that this is<br />

actually the correct result, then a sensitivity case might be run with the DFB parameters set to impose<br />

more stringent conditions <strong>for</strong> combustion, or with the DFB model suppressed entirely.<br />

13.2.6.3 Bulk Spontaneous Reaction (BSR) Model. This model is intended <strong>for</strong> use when very high<br />

gas temperatures are expected to cause rapid reaction <strong>of</strong> combustible gas with oxygen, even though<br />

the normal flammability criteria <strong>for</strong> the other combustion modes are not satisfied. The BSR model<br />

is controlled by a simple user-specified threshold temperature and a user-specified fractional reaction<br />

rate (see Section 14.3.1.7). Both values are simple constants that do not depend upon any <strong>of</strong> the<br />

containment parameters. The model is only intended to simulate the consequences <strong>of</strong> this mode <strong>of</strong><br />

hydrogen combustion; it cannot provide a mechanistic prediction as to whether it will occur in any<br />

given scenario. It is up to the user to justify the controlling parameter values chosen.<br />

The default value <strong>of</strong> the threshold temperature, 773 K, is close to what has been observed <strong>for</strong><br />

autoignition <strong>of</strong> stoichiometric air-hydrogen mixtures (see Section 9.3); addition <strong>of</strong> steam and/or<br />

substantial departures from a stoichiometric composition are expected to result in higher threshold<br />

values. On the other hand, the threshold temperature may decline somewhat with increasing scale.<br />

In one approach that has been used, the threshold temperature was estimated to be that temperature ~<br />

at which energy release rates exceeded the energy loss rates resulting from atmosphere-structure heat<br />

transfer, with the energy release rates being calculated by the chemical kinetics code SENKIN.<br />

[Lut91] Applied to lean, steam-rich mixtures (-4% hydrogen and -50% steam), this approach<br />

predicted threshold temperatures <strong>of</strong> -800 K, however, there maybe substantial uncertainties in the<br />

kinetics data set employed by SENIUN when this model is applied to these particular conditions,<br />

implying that there may be significant uncertainty in the threshold temperatures estimated by this<br />

technique (see Appendix A <strong>of</strong> Reference Pi194b).<br />

The user must speci@ a reaction rate in order to model BSR, since the default value <strong>of</strong> zero prevents<br />

BSR. Too slow a reaction rate will permit the atmosphere-structure heat transfer to cool the<br />

containment more rapidly than the reaction heats it. A chemical kinetics calculations can provide<br />

insight as to the appropriate reaction rate <strong>for</strong> a given temperature, provided a validated set <strong>of</strong> kinetics<br />

data is available. If the heating that initiates BSR in the cell <strong>of</strong> interest is very rapid (e.g., due to a<br />

sudden influx <strong>of</strong> hot gas or a large, sudden DFB), the entire cell may not be heated all at once. In<br />

this situation, the reaction rate specified may be more meaningfully defined to simulate the rate at<br />

which the superheated zone expands through the cell volume rather than to simulate reaction rates<br />

governed by chemical kinetics. This approach was used to estimate the reaction rate specified in the<br />

standard input prescription <strong>for</strong> DCH calculations (see Section 13.3.2.2.2). Whatever approach is<br />

used, it is evident that substantial uncertainties must be allowed <strong>for</strong> in estimating the reaction rate<br />

in the BSR model.<br />

Rev O 13 12 6/30/97

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