Physical and numerical approximations of reactive distillation dynamics Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/794082398

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  • Two approaches to reduce computational requirements for solving reactive distillation problems have been studied: simplification of the model using physical assumptions and numerical approximation using an orthogonal collocation technique. The results of a full-order model with time dependent stage molar holdups was compared to published steady-state experimental data and was found to be more accurate than previously published methods. Two example problems concerning reactive distillation columns with different number of stages were investigated in order to find limitations of the order-reduction technique. The steady-state results obtained in both cases were remarkably accurate, even though the reduced-order model contained only 40 percent of the number of equations. However, step and pulse responses indicated that very low order models did not provide good approximations in the dynamic behavior of a column which contained 29 stages. Modeling errors introduced by either physical or numerical approximations were compared for several example problems. The results showed that the reduced-order models with time-dependent holdups provided better steady-state and dynamic results than models using the physical approximation of constant molar holdups in almost every case. The only case in which the reduced-order model failed was when the 40% order-reduction model was used to approximate dynamic responses of a column with a significant pressure drop across each tray. The effects of plate and weir geometries were also studied. The results obtained indicated that the volume holdup on the plate was the dominant parameter: columns with plates of different sizes but the same steady-state holdup behaved similarly.
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  • 1996-06
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