Hg. Schwartzberg, MASS-TRANSFER IN A COUNTERCURRENT, SUPERCRITICAL EXTRACTION SYSTEM FOR SOLUTES IN MOIST SOLIDS, Chemical engineering communications, 157, 1997, pp. 1-22
Solutions of partial differential equations (PDE) that describe mass t
ransfer in conventional continuous, countercurrent solid-liquid extrac
tion systems also successfully describe mass transfer in nearly contin
uous, contercurrent extraction systems where supercritical fluid (SF)
is used to extract solutes from moist solids. These solutions can also
be used to describe mass-transfer behavior in absorbers where solutes
are transferred from SF to showers of liquid drops if information abo
ut drop diameters and velocities, effects of circulation in drops and,
most important, axial dispersion is available. The variables involved
include: dimensionless concentrations, Ficks number, F = D(s)t/a(2),
the stripping factor, alpha the Peclet number, UL/D-a, and the mass-tr
ansfer Biot number, Bi. In extractors, alpha slightly greater than 1.0
are needed to provided efficient extraction without excessive circula
tion of solvent; in absorbers, ac should be < 1.0. alpha, P-e and Bi a
re used in PDE solutions to determine F and extraction or absorption t
imes needed to achieve specified extents of solute transfer. Use of th
ese solutions is illustrated by analysis of a patented, nearly continu
ous extractor in which moist, caffeine-containing, green coffee beans
move countercurrent to supercritical CO2 which extracts the caffeine.
The caffeine is recovered from the CO2 by absorption in water and the
CO2 is recycled.