分解法多孔催化剂n级反应扩散-反应方程逼近解析

Analytic Solution of Nonlinear Model for Diffusion-reaction of Porous Catalyst by Decomposition Method

应用 G.Adomian分解法求解催化剂 n级反应扩散 -反应耦合非线性微分方程 ,通过应用边界条件初定和逼近解通式最后求取待定常数的方法 ,获得了 n级反应的逼近解析解的通式和一级反应的解析解 ,给出了有代表性的 2级及 0 .5级反应的浓度分布和效率因子数学表达式以及浓度分布和效率因子与 Thiele模数关系 ,经与数值法比较 。

The model for coupled diffusion and n th order reaction in porous catalyst pellet is considered. Adomian's decomposition method is applied to solve strong nonlinear differential equation with boundary values. For the first order reaction, the analytic solution was obtained . The Adomian polynomial series solution with 4 terms for 1 st ,0.5 th ,2 nd order reaction are comparable to the numerical procedure. The series solution has good agreement with numerical solution.