A new
scaling approach for a gas–liquid distributor is proposed
and experimentally validated on a commercial bubble cap geometry.
The geometric similarity was achieved by matching distributor fractional
opening and ratios of various critical dimensions. The dynamic similarity
was attained by matching three dimensionless groups (gas–liquid
density ratio, liquid Reynolds number, and gas Froude number) and
bubble coalescence behavior. Two geometrically similar distributors
with one and three smaller bubble caps were experimentally compared
through resulting bubble size distributions to test the scaling laws.
A reasonably good agreement was found at various pressures, suggesting
that the scaling approach could also work at industrially relevant
conditions. New models for bubble size distribution and drag coefficient
were developed to explicitly account for the effect of the gas–liquid
distributor and thus improve the fluid dynamics modeling of commercial
ebullated bed hydroprocessors.
A new multiphase
fluid dynamics model
for a commercial ebullated bed hydroprocessor was developed. The impact
of the gas–liquid distribution system is now explicitly included
through new submodels for bubble size distribution and drag coefficients.
The size distribution submodel is coupled with the existing gas–liquid
separation submodel to better predict recycled gas and liquid flow
rates. Either the mass of the catalyst inventory or recycle pump curve
can be specified as inputs to converge the model; the former is not
always well known during operation in which case the latter can be
used after making a few assumptions. A sensitivity analysis was performed
to study the impact of fresh treat gas velocity, catalyst mass, phase
properties, and reactor internals on recycled gas and liquid flow
rates, bubble size distribution, and bed liquid holdup. A 0.2 mm shift
in bubble size distribution toward larger sizes was found to significantly
increase bed liquid holdup, suggesting that distributor modification/redesign
could help improve the capacity of the hydroprocessor.
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