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A fundamental analysis of continuous flow bioreactor and membrane reactor models with non-competitive product inhibition. III. Linear inhibition

Journal Article


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Abstract


  • The steady-state production of a product produced through the growth of microorganisms in a continuous flow bioreactor is presented. A generalised reactor model is used in which both the classic well-stirred bioreactor and the idealised membrane bioreactor are considered as special cases. The reaction is assumed to be governed by Monod growth kinetics subject to non-competitive product inhibition. Inhibition is modelled as a decreasing linear function of the product concentration with a finite cut-off. This reaction scheme is well documented in the literature, although a stability analysis of the governing equations has not previously been presented.

    The steady-state solutions for the models have been obtained, and the stability has been determined as a function of the residence time. The key dimensionless parameter (γ) that controls the degree of non-competitive product inhibition is obtained by scaling of the equations, and its effect on the reactor performance is quantified in the limit when product inhibition is ``small'' and ``large''. The parameter γ is the reciprocal of a scaled inhibition constant (Pm) that depends upon the substrate and product yield factors and the Monod constant [γ = αsKs/( αpPm) ].

Publication Date


  • 2012

Citation


  • Nelson, M. Ian. & Lim, W. Xian. (2012). A fundamental analysis of continuous flow bioreactor and membrane reactor models with non-competitive product inhibition. III. Linear inhibition. Asia-Pacific Journal of Chemical Engineering, 7 (3), 343-352.

Scopus Eid


  • 2-s2.0-84862875052

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9426&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2091

Number Of Pages


  • 9

Start Page


  • 343

End Page


  • 352

Volume


  • 7

Issue


  • 3

Abstract


  • The steady-state production of a product produced through the growth of microorganisms in a continuous flow bioreactor is presented. A generalised reactor model is used in which both the classic well-stirred bioreactor and the idealised membrane bioreactor are considered as special cases. The reaction is assumed to be governed by Monod growth kinetics subject to non-competitive product inhibition. Inhibition is modelled as a decreasing linear function of the product concentration with a finite cut-off. This reaction scheme is well documented in the literature, although a stability analysis of the governing equations has not previously been presented.

    The steady-state solutions for the models have been obtained, and the stability has been determined as a function of the residence time. The key dimensionless parameter (γ) that controls the degree of non-competitive product inhibition is obtained by scaling of the equations, and its effect on the reactor performance is quantified in the limit when product inhibition is ``small'' and ``large''. The parameter γ is the reciprocal of a scaled inhibition constant (Pm) that depends upon the substrate and product yield factors and the Monod constant [γ = αsKs/( αpPm) ].

Publication Date


  • 2012

Citation


  • Nelson, M. Ian. & Lim, W. Xian. (2012). A fundamental analysis of continuous flow bioreactor and membrane reactor models with non-competitive product inhibition. III. Linear inhibition. Asia-Pacific Journal of Chemical Engineering, 7 (3), 343-352.

Scopus Eid


  • 2-s2.0-84862875052

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9426&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2091

Number Of Pages


  • 9

Start Page


  • 343

End Page


  • 352

Volume


  • 7

Issue


  • 3