| 分解法多孔催化剂n级反应扩散-反应方程逼近解析 |
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| 引用本文： | 刘世斌,孙彦平,程明琦,武宝亭.分解法多孔催化剂n级反应扩散-反应方程逼近解析[J].太原理工大学学报,2002,33(6):583-586,604. |
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| 作者姓名： | 刘世斌 孙彦平 程明琦 武宝亭 |
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| 作者单位： | 太原理工大学化学工程与技术学院 |
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| 基金项目： | 国家自然科学基金项目 (2 99760 2 8) |
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| 摘 要： | 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，逼近解有令人满意的精度。
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| 关 键 词： | 分解法 多孔催化剂 n级反应 非线性微分方程 逼近解析解 扩散－反应方程 化学工程 |
| 文章编号： | 1007-9432(2002)06-0583-04 |
Analytic Solution of Nonlinear Model for Diffusion-reaction of Porous Catalyst by Decomposition Method |
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| Liu Shibin,Sun Yanping,Cheng Mingqi,Wu Baotin.Analytic Solution of Nonlinear Model for Diffusion-reaction of Porous Catalyst by Decomposition Method[J].Journal of Taiyuan University of Technology,2002,33(6):583-586,604. |
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| Authors: | Liu Shibin Sun Yanping Cheng Mingqi Wu Baotin |
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| Institution: | College of Chemical Engineering & Technology of TUT |
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| Abstract: | 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. |
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| Keywords: | nonlinear model decomposition method analytic solution porous catalyst |
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