Comparison of Process Technology Data for Bioreactors

The power requirement, For Pq, can be transformed into the power number N (Zlokarnik, 1967) 

In addition to the dimensionless numbers, there are well-known others, such as the Sherwood (Sh), Reynolds (Re), Schmidt (Sc), Froude (Fr), Bodenstein (Bo), and Weber (We) numbers. On the basis of these types of dimensionless numbers, empirical correlations for a large number of bioreactors have been made (for example, Blanch, 1979 Schiigerl, 1980 Zlokarnik, 1979). The results of the experimental measurements of process engineering data are often presented in the form of a graph they have the form of the relationships given in Equs. 3.77a and 3.77b. For the volumetric mass transport coefficient (Ryu and Humphrey, 1972) (see Fig. 3.21) 

For the mixing time of various mixing systems (Zlokarnik, 1967) represented in Fig. 3.25 

For the mass transfer coefficients, as demonstrated in Fig. 3.28 according to Sano et al. (1974) 

These correlations, among others, quantify and allow comparisons to be made. They make possible a system of generalizations in which the values from many systems can be organized. The mathematical functions in Equ. 3.78 through Equ. 3.82 also represent correlations for scale-up purposes. 

---