| Approximate solution for nonlinear model of the second and half order reactions in porous catalyst by decomposition method |
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| 作者姓名： | SUN Yanping LIU Shibin WU Baoting CHENG Mingqi WANG Junwen Keith SCOTT |
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| 作者单位： | Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China,Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China,Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China,Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China,Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China,School of Chemical and Material Engineering, University of Newcastle Upon Tyne, NE1 7RU, UK |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 29976028) and British Royal Society |
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| 摘 要： | The problem of the process of coupled diffusion and reaction in catalyst pellets is considered for the case of second and half order reactions. The Adomian decomposition method is used to solve the non-linear model. For the second, half and first order reactions, analytical approximate solutions are obtained. The variation of reactant concentration in the catalyst pellet and the effectiveness factors at φ＜10 are determined and compared with those by the BAND's finite difference numerical method developed by Newman. At lower values of φ, the decomposition solution with 3 terms gives satisfactory agreement with the numerical solution; at higher values of φ, as the term number in the decomposition method is increased, an acceptable agreement between the two methods is achieved. In general, the solution with 6 terms gives a satisfactory agreement.
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| 关 键 词： | Adomian decomposition method nonlinear analytical approximate solution effectiveness factor |
Approximate solution for nonlinear model of the second and half order reactions in porous catalyst by decomposition method |
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| SUN Yanping,LIU Shibin,WU Baoting,CHENG Mingqi,WANG Junwen,Keith SCOTT.Approximate solution for nonlinear model of the second and half order reactions in porous catalyst by decomposition method[J].Progress in Natural Science,2003,13(7):505-510. |
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| Authors: | Sun Yanping LIU Shibin WU Baoting CHENG Mingqi Wang Junwen Keith SCOTT |
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| Institution: | 1. Chemical Engineering Department, Taiyuan University of Technology, Shanxi 030024, China
2. School of Chemical and Material Engineering, University of Newcastle Upon Tyne, NE1 7RU, UK |
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| Abstract: | The problem of the process of coupled diffusion and reaction in catalyst pellets is considered for the case of second and half order reactions. The Adomian decomposition method is used to solve the non-linear model. For the second, half and first order reactions, analytical approximate solutions are obtained. The variation of reactant concentration in the catalyst pellet and the effectiveness factors at φ＜10 are determined and compared with those by the BAND's finite difference numerical method developed by Newman. At lower values of φ, the decomposition solution with 3 terms gives satisfactory agreement with the numerical solution; at higher values of φ, as the term number in the decomposition method is increased, an acceptable agreement between the two methods is achieved. In general, the solution with 6 terms gives a satisfactory agreement. |
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| Keywords: | Adomian decomposition method nonlinear analytical approximate solution effectiveness factor |
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