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Problem Solving in Chemical and Biochemical Engineering with POLYMATH, by Michael B. Cutlip - University of Connecticut, Mordechai Shacham - Ben-Gurion University of the Negev

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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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