Bioprocess Engineering 2nd Edition by Fikret Kargi,Michael Shuler

Exercise 6

In a cross-flow ultrafiltration unit, a protein of MW = da is separated from the fer-
mentation broth by using a UF membrane. The flow rate of liquid through a tube of diameter
d = 2 cm and length L = 50 cm is = 2 l/min. The flow regime is turbulent, f = 0.0005, and The inlet pressure is Protein concentrations in the solution
and on gel film are = 30 mg/l and = 100 g/l, respectively.
a. Determine the exit pressure

b. Determine the transmembrane pressure drop

c. If the mass transfer coefficient (k) for protein flux is k = 5 cm/s, determine the flux of liq-
uid through the UF membrane (J).
d. If the resistance of the filter is
atm .
determine the cake resis-
tance,