Abstract
Streamline upwind Petrov-Galerkin finite element method (SUPG FEM) was considered to solve for the general chemically reactive flow system with convection, diffusion, and reaction. A nonlinear transient pseudo-homogeneous catalytic reactor model with Dankwert boundary conditions in two-dimensional domain was selected as an numerical example. The effect of velocity distribution on the dynamics of the system and the wrong way behavior was discussed in detail and the dependence of the steady-state solution upon a set of dimensionless parameters was investigated. In addition, for the numerical test of the discontinuity capturing scheme, the one-dimensional pseudo-homogeneous plug flow reactor model which incudes a discontinuity by a high convection and reaction rale was considered and the SUPG FEM was applied to solve for the mode) equation. The results from the SUPGFEM were then compared with the theoretical result from the method of characteristics and also with those from various formula based on the strea...
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