A theory of thermal choking
due to
nonequilibrium condensation in a nozzle is presented. An explicit
equation
for the critical quantity of heat in condensing flow has been derived.
The equation is of general validity and applies to vapour-droplet flow
with or without a carrier gas. It has been usually assumed in the
literature
that the classical gas dynamics result for the critical quantity of
heat
applies in condensing flow as well. The classical result is, however,
obtained
by considering external heat addition to an ideal gas in a constant
area
duct. In this paper it is shown that the area variation across the
condensation
zone (although small) and the depletion in the mass of vapour as a
result
of condensation have profound effects on the critical quantity of heat.
The present equation (derived from an integral, control-volume
approach)
agrees very well with results from full time-marching solution of the
nonequilibrium,
differential gas dynamic equations. The classical gas dynamics result,
on the other hand, seriously underpredicts the critical heat for
condensing
flow in nozzles (by a factor of three in the example claculation
presented).
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