Analysis of a model for ethanol production through continuous fermentation

Simon Watt, H. S. Sidhu, M. I. Nelson, A. K. Ray

Abstract


We investigate an experimentally verified model for the production of ethanol through continuous fermentation. Previous studies investigated this model using direct integration. Such integration is time consuming as parameter regions of interest can only be determined through laborious and repetitive calculations. Using techniques from nonlinear dynamical systems theory, in particular a combination of steady state analysis and path following methods, practical insights into operating strategies are found. We use the performance of the reaction scheme in one tank as a benchmark for comparing the performances of multiple tanks.

References
  • B. F. Gray and M. J. Roberts, A method for the complete qualitative analysis of two coupled ordinary differential equations on three parameters, Proceedings of the Royal Society A 416 (1988) 361--389.
  • A. B. Jarzebski, Modelling of oscillatory behaviour in continuous ethanol fermentation, Biotechnology Letters 14 (2) (1992) 137--142. doi:10.1007/BF01026241
  • A. Lashinsky and N. D. Schwartz, How to Beat the High Cost of Gasoline. Forever!, Fortune, 153 (2) February 6 (2006) 40--47.
  • L. Perego, J. M. C. D. Dias, L. H. Koshimizu, M. R. D. Cruz, W. Borzani and M. L. R. Vairo, Influence of temperature, dilution rate and sugar concentration on the establishment of steady-state in continuous ethanol fermentation of molasses, Biomass 6 (3) (1985) 247--256.
  • C. Ghommidh, J. Vaija, S. Bolarinwa and J. M. Navarro, Oscillatory behaviour of zymomonas in continuous cultures: a simple stochastic model, Biotechnology Letters 2 (9) (1989) 659--664. doi:10.1007/BF01025278
  • G. R. Cysewski and C. R. Wilke, Utilization of cellulosic materials through enzymatic-hydrolysis: 1. Fermentation of hydrolysate to ethanol and single-cell protein, Biotechnology and Bioengineering 18 (9) (1976) 1297--1313.
  • G. R. Cysewski and C. R. Wilke, Rapid ethanol fermentations using vacuum and cell recycle, Biotechnology and Bioengineering 19 (8) (1977) 1125--1143.
  • 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) (1998) ftp://ftp.cs.concordia.ca/pub/doedel/auto .

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v49i0.322



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.