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.