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Oxygen transfer in slurry bioreactors

1991, Biotechnology and Bioengineering

Abstract

The oxygen transfer in bioreactors with slurries having a yield stress was investigated. The volumetric mass transfer coefficients in a 40-L bubble column with simulated fermentation broths, the rheological properties of which were represented by the Casson model, were measured. Experimental data were compared with a theoretical correlation developed on the basis of a combination of Higbie's penetration theory and Kolmogoroff's theory of isotropic turbulence. Comparisons between the proposed correlation and data for the simulated broths show good agreement. The mass transfer data for actual mycelial fermentation broths reported previously by the authors were reexamined. Their rheological data was correlated by the Bingham plastic model. The oxygen transfer rate data in the mycelial fermentation broths fit the predictions of the proposed theoretical correlation.

Key takeaways

  • Although the power-law model often correlates the data for mycelial broths, a more satisfactory relation between shear rate and shear stress is sometimes the Bingham plastic model or the Casson equation which incorporate a yield stress.
  • Therefore, they must be determined in the shear rate range which characterizes shear rates in the bubble column.
  • Therefore, if a fluid is well disturbed, the correlation for kLa in Newtonian fluids seems to be applicable to slurries provided the Newtonian viscosity, p , is replaced by the plastic viscosity, p g , or the Casson viscosity, p c , as well as the case of the turbulent pipe flow of viscoplastic f1~ids.l~ This problem will be discussed later using the present data.
  • Unfortunately, we have no other reliable correlation to estimate the effective shear rate in bubble columns at present.
  • It may be concluded, therefore, that the proposed theoretical correlations for kLa provide a satisfactory representation of the oxygen transfer in bubble columns with fermentation broths having a yield stress for design purposes.