### Abstract

The problem of the optimal operation policy for chemical reactors is important when it is desired to improve the operational economics and product yield. The calculus of variations formulation is applied to the problem of determining the optimal temperature policy which will maximize the final catalyst activity that gives a fixed conversion of reactants in a specified time for a batchwise operated reactor. The technique can also be applied to the mathematically equivalent problem of maximizing conversion with a specified final catalyst activity in a given reaction time. General first-order reversible reaction with separable catalyst deactivation which is first order and concentration independent was studied. The computations were conducted by employing the rate parameters of the industrially important isomerization of D-glucose to D-fructose catalyzed by glucose isomerase in solution. Analytical solutions were obtained for the optimal temperature policy for nth order irreversible kinetics since the rate expression is factorable. The methods developed may be applied to optimize reactor operation for a wide range of catalyzed reversible reactions for which catalyst deactivation occurs.

Original language | English (US) |
---|---|

Pages (from-to) | 707-712 |

Number of pages | 6 |

Journal | AICHE Journal |

Volume | 20 |

Issue number | 4 |

State | Published - Jul 1974 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Biotechnology
- Chemical Engineering(all)
- Mechanical Engineering
- Environmental Engineering
- Polymers and Plastics

### Cite this

*AICHE Journal*,

*20*(4), 707-712.

**OPTIMAL TEMPERATURE POLICY FOR REVERSIBLE REACTIONS WITH DEACTIVATION : APPLIED TO ENZYME REACTORS.** / Haas, Willard R.; Tavlarides, Lawrence L; Wnek, Walter J.

Research output: Contribution to journal › Article

*AICHE Journal*, vol. 20, no. 4, pp. 707-712.

}

TY - JOUR

T1 - OPTIMAL TEMPERATURE POLICY FOR REVERSIBLE REACTIONS WITH DEACTIVATION

T2 - APPLIED TO ENZYME REACTORS.

AU - Haas, Willard R.

AU - Tavlarides, Lawrence L

AU - Wnek, Walter J.

PY - 1974/7

Y1 - 1974/7

N2 - The problem of the optimal operation policy for chemical reactors is important when it is desired to improve the operational economics and product yield. The calculus of variations formulation is applied to the problem of determining the optimal temperature policy which will maximize the final catalyst activity that gives a fixed conversion of reactants in a specified time for a batchwise operated reactor. The technique can also be applied to the mathematically equivalent problem of maximizing conversion with a specified final catalyst activity in a given reaction time. General first-order reversible reaction with separable catalyst deactivation which is first order and concentration independent was studied. The computations were conducted by employing the rate parameters of the industrially important isomerization of D-glucose to D-fructose catalyzed by glucose isomerase in solution. Analytical solutions were obtained for the optimal temperature policy for nth order irreversible kinetics since the rate expression is factorable. The methods developed may be applied to optimize reactor operation for a wide range of catalyzed reversible reactions for which catalyst deactivation occurs.

AB - The problem of the optimal operation policy for chemical reactors is important when it is desired to improve the operational economics and product yield. The calculus of variations formulation is applied to the problem of determining the optimal temperature policy which will maximize the final catalyst activity that gives a fixed conversion of reactants in a specified time for a batchwise operated reactor. The technique can also be applied to the mathematically equivalent problem of maximizing conversion with a specified final catalyst activity in a given reaction time. General first-order reversible reaction with separable catalyst deactivation which is first order and concentration independent was studied. The computations were conducted by employing the rate parameters of the industrially important isomerization of D-glucose to D-fructose catalyzed by glucose isomerase in solution. Analytical solutions were obtained for the optimal temperature policy for nth order irreversible kinetics since the rate expression is factorable. The methods developed may be applied to optimize reactor operation for a wide range of catalyzed reversible reactions for which catalyst deactivation occurs.

UR - http://www.scopus.com/inward/record.url?scp=0016082536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016082536&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0016082536

VL - 20

SP - 707

EP - 712

JO - AICHE Journal

JF - AICHE Journal

SN - 0001-1541

IS - 4

ER -