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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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Extra 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

Sample text

T) = C where C ( 1 ) Z a' " (22) , 1 is determined by the differential { (1-w) 3 - e B 1 2 1 + B} £ 1 ) z = Da r z equation: . (23) The postulation that equ. (18) remains valid with this partic­ ular choice of £ ^ leads us to the following conditional equations for the homogeneous part of : B ( - Z z ) = - e (D e cp ( 1 ) = 0 (24) 52 E. D. GILLES and W. RUPPEL I ( - (2) . z»=0 " 2z 1 z a q 3 C ' (1) It is now advisable to also break up q> into two parts, so that cp ( 1 ) (z',t) The part cpj^ = cp (z ,t) ( 1 ) cp^ (z',t) + l l " 1 ) (25) serves to satisfy the boundary condition of at the front of the reactor (z'= - z ) while Z connect the two spatial domains at z (1) manner.

10, the heat removal line is the tangent of the heat pro­ duction curve. This yields: (11) w = 3 Fig. 11 shows the block-diagram of both the reaction and the ignition zone. Within the reaction zone, the reaction proceed to a complete consumption of the reactants. Only a small frac tion of the generated heat is transported through heat conduc tion from the reaction zone to the ignition zone. Together with the input variables T_ and c_ of the ignition zone, this heat current determines the moving velocity w at which this phenomenon propagates within the reactor.

The dispersion of matter in turbulent flow through a pipe, Proc. Roy. Soc. A223, 446-465, 1954. 34. Taylor, G. , Conditions under which dispersion of a 34 R. ARIS solute in a stream can be used to measure molecular diffusion, Proc. Roy. Soc. A225, 473-477, 1954. 35. Ulrichson, D. L. and Schmitz, R. , Chemical reaction in the entrance length of a tubular reactor, IEC Fundls. 4, 2-7, 1965. 36. Yu, J. , An approximate analysis of laminar dispersion in circular tubes, J. App. Mech. 9£, 537, 1976.

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