A modified orthogonal collocation method for reaction diffusion problems

Brazilian Journal of Chemical Engineering

M. Soliman¹  Y. Al-zeghayer¹  A. Ajbar² 

[1] ,King Saudi University College of Engineering Department of Chemical EngineeringRiyadh,Saudi Arabia

关键词: Orthogonal collocation;    Jacobi polynomials;    Interpolation;    Reaction diffusion;    Catalyst particle;   

DOI  :  10.1590/0104-6632.20140314s00002692

来源: SciELO

【 摘 要 】

A low-order collocation method is often useful in revealing the main features such as concentration and temperature profiles and the effectiveness factor for porous catalyst particles. Two modifications are introduced in this paper to make the method more efficient. The first modification is to add an extra collocation point at the center of the particle. It is shown that such extra point introduces a single variable non-linear equation to be solved after obtaining the standard collocation method solution. In the second modification, the polynomial solution obtained from the application of the orthogonal collocation method is transformed to a rational function form. These two modifications are applied to specific examples and it is shown that they can improve the performance of collocation methods in general and the one-point collocation method in particular.

【 授权许可】

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