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Heterogeneous modeling for the alcoholic fermentation process

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An Erratum to this article was published on 01 October 1989

Abstract

In this paper a heterogeneous model is developed for the alcoholic fermentation process. The model is expressed in terms of intracellular and extracellular concentrations of ethanol and sugar as well as biomass concentration as state variables. The model takes into consideration the floc size and the mass transfer rates of both ethanol and sugar. The intrinsic kinetics of the process used in the model was developed from published data which includes the inhibitory effects of ethanol and cells.

The model development is achieved through comparison with one set of experimental results given by Novak et al. (1). The model is then checked against two other sets of experimental results. The developed model is also used to simulate an industrial fed-batch fermentar.

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Abbreviations

Ap :

External surface area of single floc dm2

Atf :

Total surface area of flocs dm2

Dp :

floc diameter dm

Kgs :

Mass transfer coefficient for sugar dm/h

Kgp :

Mass transfer coefficient for ethanol dm/h

Ks :

Saturation constant g/L

Kp :

Inhibition constant g/L

Kp :

Rate constant g/L

n:

Toxic factor dimensionless

P:

Intracellular ethanol concentration g/L

Pb :

Extracellular ethanol concentration g/L

Rp :

Specific rate of ethanol production, g ethanol produced/g dry wt of biomass.h

Rs :

Specific rate of sugar consumption, g sugar consumed/g dry wt of biomass.h

Rx :

Specific growth rate g biomass produced/g dry wt of biomass.h

rp :

Radius of floc dm

S:

Intracellular sugar concentration g/L

Sb :

Extracellular sugar concentration g/L

So :

Sugar concentration at initial condition g/L

t:

Time h

Vb :

Liquid volume of the bulk solution L

Vt :

Total (liquid + flocs) volume L

Vtf :

Total flocs volume L

Vp :

Volume of single floc L

X:

Biomass concentration g dry wt/L

Xm :

Maximum biomass concentration g dry wt/L

Yc :

Yield factor for yeast, g yeast produced/g sugar consumed

Yp :

Yield factor for ethanol, g ethanol prod/g sugar consumed

Greek symbols :

h-1

μm :

Maximum specific growth rate

ρ:

Density of floc g dry wt/wet volume L

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Authors and Affiliations

  1. Chem. Engng. Dept., King Saud Univ., P. O. Box 800, Riyadh, Saudi Arabia

    S. S. E. H. Elnashaie

  2. Faculty of Engng., Menoufia Univ., Menoufia, Egypt

    G. Ibrahim

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  1. S. S. E. H. Elnashaie
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  2. G. Ibrahim
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Additional information

On leave from, the Chem. Engng. Dept., College of Engng., Cairo Univ., Egypt

An erratum to this article is available at http://dx.doi.org/10.1007/BF02922703.

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Elnashaie, S.S.E.H., Ibrahim, G. Heterogeneous modeling for the alcoholic fermentation process. Appl Biochem Biotechnol 19, 71–101 (1988). https://doi.org/10.1007/BF02921466

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  • DOI: https://doi.org/10.1007/BF02921466

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