Calculation of Effectiveness Factors of Bidisperse Catalysts by Orthogonal Collocation Method

Wang Changtai and Lin Cheng(Department of Chemical Engineering; Fuzhou University)

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Calculation of Effectiveness Factors of Bidisperse Catalysts by Orthogonal Collocation Method

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- Calculation of Effectiveness Factors of Bidisperse Catalysts by Orthogonal Collocation Method
- CIESC Journal Issue 4, (1986)
- 作者机构：
  
  福州大学化工系,福州大学化工系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 December 1986，
  
  Published：25 December 1986
- 稿件说明：
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Wang Changtai and Lin Cheng(Department of Chemical Engineering, Fuzhou University). Calculation of Effectiveness Factors of Bidisperse Catalysts by Orthogonal Collocation Method[J]. CIESC Journal, 1986, (4).
DOI：

Wang Changtai and Lin Cheng(Department of Chemical Engineering, Fuzhou University). Calculation of Effectiveness Factors of Bidisperse Catalysts by Orthogonal Collocation Method[J]. CIESC Journal, 1986, (4). DOI：

摘要

本文讨论了基于正交配置法的双重孔催化剂有效因子计算法;成功地求解了具有耦合边界条件的二阶微分方程组:考察了用Legendre多项式与Jacobi多项式作为配置法的试验函数

以及在催化剂颗粒和微粒内配置点组合格式对计算的收敛速度和精确度的影响.文中给出了不可逆反应、可逆反应条件下双重孔催化剂的有效因子值.一级不可逆反应的计算值与精确解吻合;二级不可逆反应的计算值与Jayaraman的试差解相当接近.文中还给出了Langmuir-Hinshelwood动力学模型有效因子曲线组.

Abstract

A method based on the orthogonal collocation technique was given for calculating the effectiveness factors of bidisperse catalysts. The set of coupled second-order differential equations for modeling the system was successfully solved. Legendre and Jacobi polynomials chosen as trial functions

and different combination patterns of collocation points in pellet and in particles

were tested for their influence on the rate of convergence and the final solution. Effectiveness factors were obtained for reversible and irreversible reactions. Values of the calculated effectiveness factor of first-order irreversible reactions agree very well with those of the exact solution

while those of second-order irreversible reactions are fairJy close to the trial-and-error solutions by Jayaraman. Effectiveness factors for reactions of the Langmuir-Hinshelwood kinetics were also obtained.

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