Bioprocess Engineering 2nd Edition by Fikret Kargi,Michael Shuler

Exercise 11

In a cross-flow ultrafiltration system used for filtration of proteins from a fermentation broth,
gel resistance increases with protein concentration according to the following equation: Pressure at the entrance of the system is atm and at the exit is atm. The shell
side of the filter is open to the atmosphere, resulting in atm. The membrane resis-
tance is and protein concentration in the broth is C = 100 mg/l.
Determine:
a. The pressure drop across the membrane.
b. Filtration flux.
c. Rejection coefficient of the membrane for effluent protein concentration of