Differential flow induced chemical instability and Turing instability for Couette flow

摘要

Conditions of differential flow induced chemical instability (DIFICI) are obtained for heterogeneous reactions in a Couette how reactor with diffusional supply of reactants. We describe a general method applicable to the analysis of a surface reaction fed by diffusion and laminar advection that reduces the original three-dimensional problem to a closed two-dimensional evolution equation containing a nonlocal Dirichlet to Neumann operator. This procedure is applied to compute conditions of DIFICI and competing symmetry-breaking instabilities for a bimolecular catalytic reaction and the Brusselator model. [S1063-651X(98)00310-9]. [References: 6]