Calculation of multiplicity of steady states in a catalyst pellet by homotopic continuation method

Authors

  • Pablo Giunta,

    1. Laboratorio de Procesos Catalíticos, Dpto Ingeniería Química, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
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  • Norma Amadeo,

    1. Laboratorio de Procesos Catalíticos, Dpto Ingeniería Química, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
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  • Miguel Laborde,

    1. Laboratorio de Procesos Catalíticos, Dpto Ingeniería Química, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
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  • María Bergamini

    Corresponding author
    1. Laboratorio de Procesos Catalíticos, Dpto Ingeniería Química, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
    • Laboratorio de Procesos Catalíticos, Dpto Ingeniería Química, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
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Abstract

Many exothermic reactions, such as the oxidation of CO in a catalyst pellet may present multiplicity of steady states. Experimental results suggest this behavior in a copper ceria catalyst, and this in turn would indicate that the kinetics should be nonmonotonic with respect to reactants' compositions. The model for the reaction is described by a two-point boundary value problem that is hard to solve with direct methods, even when seeking a single solution. The aim of this work is to implement a homotopic method to find all the steady states of this kind of problems. The search for solutions is driven by a pseudo arclength continuation. Homotopic curves that passes through all possible solutions are obtained. Also, a study of the dependence of the initial point upon the curve is performed. © 2010 American Institute of Chemical Engineers AIChE J,2011

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