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Table 7 Equations used for determination of the EDCF and description of terms with respective units

From: Optimization of the production process for the anticancer lead compound illudin M: process development in stirred tank bioreactors

Equation

Nomenclature

\(k=\left(\frac{\pi }{4}\right)\left(\frac{W}{D}\right)\)

k: impeller geometrical factor

W: impeller blade height (m)

D: impeller diameter (m)

P: power input (W)

P0: ungassed power number of the impeller

ρ: broth density (kg m−3)

1/tc: circulation frequency (s−1)

Fl: impeller flow number

N: stirring speed (s−1)

VL: working volume (m3)

\(P= {P}_{o }\rho {N}^{3}{D}^{5}\)

\(\frac{1}{{t}_{c}}=\frac{(FlN{D}^{3})}{{v}_{l}}\)

\(EDCF= \left(\frac{P}{k{D}_{3}}\right) \left(\frac{1}{{t}_{c}}\right)\)