Chapter 6. Advanced Techniques in Problem Solving
Solution of Stiff Ordinary Differential Equations
Concepts Demonstrated
Simulation of chemical or biological reactions in a batch reactor process that can lead to very high reaction rates with very low reactant concentrations.
Numerical Methods Utilized
Solution of systems of ordinary differential equations that become stiff during the course of the integration.
Problem Statement
A biological process involves the growth of biomass from substrate as studied by Garritsen.[1] The material balances on this batch process yield
Equation 6-1.
Equation 6-2.
where B and S are the respective biomass and substrate ...
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