Dynamics and Modelling of Reactive Systems. Proceedings of by W.E. Stewart, etc

By W.E. Stewart, etc

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By W.E. Stewart, etc

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Read or Download Dynamics and Modelling of Reactive Systems. Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 22–24, 1979 PDF

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Additional info for Dynamics and Modelling of Reactive Systems. Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 22–24, 1979

Example text

D. GILLES and W. RUPPEL purpose. In all attempts to overcome these difficulties, a model r e ­ duction was at first carried out with the goal of developing an appropriate control concept for the fixed-bed reactor. For this purpose, the partial differential equations of the reac­ tor were approximated by a finite set of ordinary differen­ tial equations. Today, essentially two different procedures can be dis­ tinguished, which are applied in order to achieve this model reduction. a) The formalistic method By means of the method of weighted residuals, the local temperature and concentration profiles are approximated by finite series of the form x c (t) ± •

Thus far, the moving velocity of the reaction zone was considered a quantity which, for example, was predetermined by a proceeding catalyst deactivation process. The simulation results in Fig. 8,though, show that moving zones can also ap­ pear when the boundary conditions are constant in time. This phenomenon was first measured by Padberg and Wicke [15, 1 6 ] . Now, the moving velocity w must be taken as an internal quan­ tity primarily determined by the heat conduction within the bed [17]. In order to illustrate the mechanism of propagation, us imagine the reaction zone as bounded on its left hand let side by an ignition zone, which also moves at the velocity w (Fig.

1980). , and F. Silberberger, Modeling, Simulation and Control of an Extractive Distillations Column, ACS Symposium Series, Washington 1979 (to be published). Institut fiir Systemdynamik und Regelungstechnik Universitat Stuttgart Pfaffenwaldring 9 D-7000 Stuttgart 80 Chemical Oscillations, Multiple Equilibria, and Reaction Network Structure Martin Feinberg 1. INTRODUCTION Despite remarkable progress in chemical reactor theory during the past thirty years, it must b e said that our under­ standing of reactors with complex chemistry remains rather primitive.

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