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Growth simulation ofHansenula polymorpha

II. Simulation of the entire cultivation

  • Industrial Microbiology
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European journal of applied microbiology and biotechnology Aims and scope Submit manuscript

Summary

Using the model presented in part I, the measured time and spacial variations of process variables were simulated with satisfactory accuracy. Especially the experimentally found minima of the longitudinal dissolved oxygen concentration profiles in the substrate limiting growth range, which are caused by the transition from oxygen transfer limited to substrate limited growth along the tower, can be simulated with great accuracy.

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Abbreviations

L:

length

M:

mass

T:

time

K:

temperature

MM :

mole mass

a:

Specific gas/liquid interfacial area with regard to the liquid volume in the tower (L−1)

DSR :

Substrate feed rate (ML−3T−1)

KO :

Saturation constant of Monod kinetics with regard to oxygen (ML−3)

KS :

Saturation constant of Monod kinetics with regard to the substrate (ML−3)

KST :

Constant

KL :

Mass transfer coefficient (LT−1)

kLa:

Volumetric mass transfer coefficient (T−1)

kLaE :

Volumetric mass transfer coefficient at the entrance (T−1)

kLaα :

Volumetric mass transfer coefficient at large distances from the entrance (T−1)

kLa α0 :

Volumetric mass transfer coefficient in the absence of substrate (ethanol) (T−1)

LR :

Gas-liquid layer height in the tower (L)

LR :

Height of the loop (L)

\(m_L = \frac{{\overline {k_L a} ^\alpha }}{{\overline {k_L a} _0^\alpha }}\) :
OB :

Dissolved oxygen concentration in the loop liquid (ML−3)

OF :

Dissolved oxygen concentration in the tower liquid (ML−3)

O *F :

Saturation value of OF (ML−3)

OTR:

Oxygen transfer rate (ML−3T−1)

P:

Pressure

\(Q_{O_2 } \) :

Oxygen transfer rate (ML−3T)

SB :

Substrate concentration in the loop liquid (ML−3)

SD :

Substrate concentration at which kLaα=2 kLa α0 (ML−3)

SF :

Substrate concentration in the tower liquid (ML−3)

T:

Absolute temperature

t:

Time (T)

uGo :

Superficial gas velocity in the tower

VR :

Reactor volume (L3)

VG :

Volumetric gas flow rate in the tower (L3T−1)

VB :

Volumetric liquid flow rate in the loop (L3T−1)

VF :

Volumetric liquid flow rate in the tower (L3T−3)

Vu :

Liquid recycling rate (L3T−1)

XB :

Biomass concentration in the loop liquid (ML−3)

XF :

Biomass concentration in the tower liquid (ML−3)

x:

Longitudinal coordinate in the tower (L)

x* :

Longitudinal coordinate in the loop (L)

xOG :

O2 mole fraction in the gas phase

YX/O :

Yield coefficient of biomass with regard to oxygen

YX/S :

Yield coefficient of biomass with regard to substrate

z=x/LR :

Dimensionless longitudinal coordinate in the tower

z*=x*/LB :

Dimensionless longitudinal coordinate in the loop

α:

Constant (αLR is the distance from the aerator on which kL a is space dependent)

γ:

Liquid recirculation ratio

∈G :

Mean relative gas holdup in the tower

μ exp :

Experimentally determined μ (T−1)

μ max :

Maximum specific growth rate (T−1)

ρ F :

Liquid density (ML−3)

A:

At the exit

E:

At the inlet

References

  • Luttmann R, Thoma M, Buchholz H, Scheiding W, Schügerl K (1981a) Growth simulation ofHansenula polymorpha. I. Eur J Appl Microbiol Biotechnol

  • Luttmann R, Thoma M, Buchholz H, Schügerl K (1981b) Model development, parameter identification and simulation of SCP production process in air lift tower bioreactors with external loop. II. Comput Chem Engng

  • Luttmann R (1980) Modellbildung und silumation von SCP-prozessen in blasensäulenfermentern. Dissertation, University of Hannover

  • Schügerl K, Lücke J, Lehmann J, Wagner F (1978) Application of tower bioreactors in cell mass production. In: Ghose TK, Fiechter A, Blakebrough N. Advances in biochemical engineering.Vol 8. Springer, Berlin Heidelberg New York, pp 63–131

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Author notes

  1. R. Luttmann

    Present address: Gesellschaft für Biotechnologische Forschung mbH, Mascheroder Weg 1, 3300, Braunschweig-Stöckheim, Germany

Authors and Affiliations

  1. Institut für Regelungstechnik, Universität Honnover, Callinstr. 3, 3000, Hannover, Germany

    R. Luttmann, M. Thoma & W. Scheiding

  2. Institut für Technische Chemie, Universität Honnover, Callinstr. 3, 3000, Hannover, Germany

    H. Bucholz & K. Schürgerl

Authors
  1. R. Luttmann
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  2. M. Thoma
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  3. H. Bucholz
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  4. W. Scheiding
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  5. K. Schürgerl
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Luttmann, R., Thoma, M., Bucholz, H. et al. Growth simulation ofHansenula polymorpha . European J. Appl. Microbiol. Biotechnol. 13, 145–150 (1981). https://doi.org/10.1007/BF00703043

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  • DOI: https://doi.org/10.1007/BF00703043

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