Multiphase Bioreactor Design

(avery) #1

Figure 4.8 Effectiveness factor ηint for


Michaelis-Menten kinetics as a


function of the Thiele modulus Φ with


the dimensionless surface


concentration βS as the parameter. The


effectiveness factor for spherical


particles and membranes is represented


by solid and broken lines respectively.


(34)


where and i is an index which varies from l to n−l. Substituting (33) and (34) in
equation (21) yields:


(35)

Noting that equation (35) gives:


(36)

This simple transformation allowed elimination of the 0/0 undetermination.
Analogously, for the case of reversible Michaelis-Menten kinetics:


Multiphase bioreactor design 108    
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