Analysis of a Chemostat Model with Variable Yield Coefficient
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Abstract
We investigate a chemostat model in which the growth rate is given by a Monod expression with a variable yield coefficient. This model has been investigated by previous researchers using numerical integration. We combine analytical results with path-following methods. The conditions for washout to occur are found. When washout does not occur we establish the conditions under which the reactor performance is maximised at either a finite or infinite residence time. We also determine the parameter region in which oscillations may be generated in the reactor, which was the primary feature of interest to earlier workers on this problem.
Keywords
bioreactors Non-linear dynamics reaction engineeringAMS Subject classification
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References
- 1.Silveston, P., Hudgins, R.R., Renken, A. 1995Catal. Today2591CrossRefGoogle Scholar
- 2.Stankiewicz, A., Kuczynski, M. 1995Chem Eng Process34367CrossRefGoogle Scholar
- 3.Balakrishnan, A., Yang, R.Y.K. 1998ACH–Models Chem.1351Google Scholar
- 4.Jianqiang, S., Ray, A.K. 2000Chem. Eng. Technol.231115CrossRefGoogle Scholar
- 5.Ray, A.J. 1995Chem. Eng. J.59169Google Scholar
- 6.Yang, R.Y.K., Su, J. 1993Bioprocess Eng.997CrossRefGoogle Scholar
- 7.Balakrishnan, A., Yang, R.Y.K. 2002Chem. Eng. Commun.1891569CrossRefGoogle Scholar
- 8.E.J. Doedel, T.F. Fairgrieve, B. Sandstede, A.R. Champneys, Y.A. Kuznetsov and X. Wang, AUTO 97: Continuation and bifurcation software for Ordinary Differential Equations (with Hom-Cont), March 1998. Available by anonymous ftp from ftp.cs.concordia.ca/pub/doedel/auto.Google Scholar
- 9.Gray, B.F., Roberts, M.J. 1988A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parametersProc. Roy. Soc. A416361Google Scholar
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