lec11_03142007_g - 10.37 Chemical and Biological Reaction...

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10.37 Chemical and Biological Reaction Engineering, Spring 2007 Prof. William H. Green Lecture 11: Non-isothermal Reactors, equilibrium limitations, and stability This lecture covers: Derivation of energy balances for ideal reactors; equilibrium conversion, adiabatic and non-adiabatic reactor operation. Non-isothermal Reactors dN N streams N rxns i = + F V i m , , cv υ i l r dt l m l = = 1 1 stoichiomet stoichiometric ric coefficient r - depends on concentration l - T - catalyst dU total dV N s treams cv + = P H cv conc ( ) T F total + Q ± + W ± + ( other energy terms dx dt m m m s ) m = 1 flow work extensive intensive heat do work Æ W ± shaft work s negative work expansion work If small control volume, pressure constant. In 1 cv V has a fixed P other control volumes P 2 P 1 P 1 P 2 Figure 1. Schematic of a PFR with small control volumes, each with a fixed P. PFR has many small control volumes, each with its own constant P. For isothermal – Q ± adjusted to keep T constant Practical – have big cooling bath or just operate at a particular temperature found after reactor built not a good strategy, for design we want to know ahead of time before assumed uniform T, actually have hot spots Cite as: William Green, Jr., course materials for 10.37 Chemical and Biological Reaction Engineering,
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