r=0, centre of the gel head
r=R, edge of the gel bead
The medium phase
Substratet=0, =0, batch operation
=0, continuous operation
Productt=0, =0, batch operation and continuous operation
The organic solvent phase
Product
The different transfer fluxes are represented by:
The mass transfer coefficients kbead,s, kbead,p, and are calculated with the equation of
Ranz and Marshall (1952):
Design of liquid-liquid-solid fluidised-bed bioreactors 383