Pattern formation in a differential–flow reactor model

作者: Razvan A Satnoianu , John H Merkin , Stephen K Scott

DOI: 10.1016/S0009-2509(99)00340-1

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摘要: Abstract A model for a differential–flow reactor is considered, based on cubic autocatalator kinetics in which the substrate immobilized and autocatalyst flows through at constant rate. Linear stability analysis shows that there critical flow rate above spatially uniform steady state becomes convectively unstable. Numerical simulations show this convective instability leads to formation of wave packet propagating reactor. The nature depends two cases are identified kinetic parameter μ , namely generic case general values when close value gives Hopf bifurcation system.

参考文章(18)
Michael Menzinger, Arkady B. Rovinsky, The Differential Flow Instabilities Springer, Dordrecht. pp. 365- 397 ,(1995) , 10.1007/978-94-011-1156-0_11
Alan Mathison Turing, The Chemical Basis of Morphogenesis Philosophical Transactions of the Royal Society B. ,vol. 237, pp. 37- 72 ,(1952) , 10.1098/RSTB.1952.0012
Arkady B. Rovinsky, Michael Menzinger, Self-organization induced by the differential flow of activator and inhibitor. Physical Review Letters. ,vol. 70, pp. 778- 781 ,(1993) , 10.1103/PHYSREVLETT.70.778
Razvan A. Satnoianu, John H. Merkin, Stephen K. Scott, Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics Physica D: Nonlinear Phenomena. ,vol. 124, pp. 345- 367 ,(1998) , 10.1016/S0167-2789(98)00206-1
Barry R. Johnson, Stephen K. Scott, New approaches to chemical patterns Chemical Society Reviews. ,vol. 25, pp. 265- 273 ,(1996) , 10.1039/CS9962500265
Robert J. Deissler, External noise and the origin and dynamics of structure in convectively unstable systems Journal of Statistical Physics. ,vol. 54, pp. 1459- 1488 ,(1989) , 10.1007/BF01044729
V.Z. Yakhnin, A.B. Rovinsky, M. Menzinger, Convective instability induced by differential transport in the tubular packed-bed reactor Chemical Engineering Science. ,vol. 50, pp. 2853- 2859 ,(1995) , 10.1016/0009-2509(95)00114-K
Arkady B. Rovinsky, Michael Menzinger, Chemical instability induced by a differential flow. Physical Review Letters. ,vol. 69, pp. 1193- 1196 ,(1992) , 10.1103/PHYSREVLETT.69.1193
Sergey P. Kuznetsov, Erik Mosekilde, Guy Dewel, Pierre Borckmans, Absolute and convective instabilities in a one-dimensional Brusselator flow model Journal of Chemical Physics. ,vol. 106, pp. 7609- 7616 ,(1997) , 10.1063/1.473763