Abstract
Modeling indoor dispersion is an important problem for risk analysis
used to justify design improvements that increase safety. Of particular
interest is a method to estimate what fraction of the volume of a
room could have flammable concentrations when the source rate is
too weak to fill the entire room. An analytic model is described
here that allows a time-varying source rate such as typically occurs
with an evaporating liquid pool. The model allows automatic increases
and decreases in the ventilation rate and/or fresh air makeup ratio
such as could be activated by a gas sensor system. This provides
a design tool for such gas sensor systems. An approximate approach
is developed to estimate the effects of imperfect mixing, such as
can occur with density stratification or dead zones. Two options
are described, a dead zone model and a 'bypass' model.
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