Resumen

OCHOA-TAPIA, J. A.  y  VALDES -PARADA, F.J.. Solution approach with green's functions for predicting the concentration of the slurry within a stirred tank reactor with nonlinear kinetics. Rev. Mex. Ing. Quím [online]. 2014, vol.13, n.3, pp.841-854. ISSN 1665-2738.

The purpose of this work is to set the basis for a numerical scheme to solve the model that describes the diffusion and reaction, with nonlinear kinetics, in the dispersed catalytic pellets part of the slurry contained in a reactor tank. The method presented is based on the use of Green's functions for the solution of the linear problem. However, different analytical solution approaches can lead to identical expressions for the solution; some of these results are compared and discussed. The numerical solution for the nonlinear case relies on the use of an iterative procedure. At this point, it is evident that the main drawback of the method proposed for the solution of the nonlinear transient problem is the infinite Fourier series that represent the Green's function. For such reason, the presented method is also used to obtain fluid and pellet concentration profiles for the quasi-steady state and steady-state cases. The resulting expressions for such two simpler cases are used to predict the concentration profiles that are also compared with those resulting from the numerical solution of the problem using finite differences. The good agreement of the predictions indicates that more compact expressions for the Green's function will improve the efficiency of the new numerical scheme.

Palabras llave : Green's function; analytical solution; iterative scheme; nonlinear kinetics; stirred tank reactor.

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