Chapter 1. Modelling Principles

  1. Dr. Irving J. Dunn1,
  2. Professor Dr. Elmar Heinzle2,
  3. Dr. John Ingham3,
  4. Dr. Jiří E. Přenosil1

Published Online: 28 JAN 2005

DOI: 10.1002/3527603050.ch1

Book Title

Biological Reaction Engineering: Dynamic Modelling Fundamentals with Simulation Examples, Second Edition

Biological Reaction Engineering: Dynamic Modelling Fundamentals with Simulation Examples, Second Edition

Additional Information

How to Cite

Dunn, I. J., Heinzle, E., Ingham, J. and Přenosil, J. E. (2005) Modelling Principles, in Biological Reaction Engineering: Dynamic Modelling Fundamentals with Simulation Examples, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603050.ch1

Author Information

  1. 1

    ETH Zürich, Department of Chemical Engineering, CH-8092 Zürich, Switzerland

  2. 2

    University of Saarland, Department of Technical Biochemistry, P.O. Box 15 11 50, D-66041 Saarbrücken, Germany

  3. 3

    University of Bradford, Department of Chemical Engeering, Bradford BD7 1DP, United Kingdom

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 25 JUN 2003

ISBN Information

Print ISBN: 9783527307593

Online ISBN: 9783527603053

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Keywords:

  • biological reaction engineering;
  • modelling principles;
  • dynamic differential balances;
  • balance equations;
  • mass balance equations;
  • balancing procedure;
  • total mass balances;
  • component balances;
  • stoichiometry;
  • elemental balancing;
  • yield coefficient concept;
  • equilibrium relationships

Summary

This chapter contains sections titled:

  • Fundamentals of Modelling

    • Use of Models for Understanding, Design and Optimization of Bioreactors

    • General Aspects of the Modelling Approach

    • General Modelling Procedure

    • Simulation Tools

    • Teaching Applications

  • Development and Meaning of Dynamic Differential Balances

  • Formulation of Balance Equations

    • Types of Mass Balance Equations

    • Balancing Procedure

      • Case A. Continuous Stirred Tank Bioreactor

      • Case B. Tubular Reactor

      • Case C. River with Eddy Current

    • Total Mass Balances

    • Component Balances for Reacting Systems

      • Case A. Constant Volume Continuous Stirred Tank Reactor

      • Case B. Semi-continuous Reactor with Volume Change

      • Case C. Steady-State Oxygen Balancing in Fermentation

      • Case D. Inert Gas Balance to Calculate Flow Rates

    • Stoichiometry, Elemental Balancing and the Yield Coefficient Concept

      • Simple Stoichiometry

      • Elemental Balancing

      • Mass Yield Coefficients

      • Energy Yield Coefficients

    • Equilibrium Relationships

      • General Considerations

      • Case A. Calculation of pH with an Ion Charge Balance

    • Energy Balancing for Bioreactors

      • Case B. Determining Heat Transfer Area or Cooling Water Temperature

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