用同伦摄动法解析求解氧化反应的一维拟齐次模型

A. Nuryaman
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引用次数: 3

摘要

本文给出了化学反应器中氧化反应对流扩散方程的解析解。其中,原料气浓度为因变量。本研究假设反应为一维伪均相模型,并在一定的反应速率下进行评价。通过对过程进行重新标度,将反应速率的非线性项近似为线性项,得到具有初始条件和一组边界条件的线性对流扩散方程。本文用同伦摄动方法给出了初始条件和边界条件的解析解。结果表明,在反应器末端,解与初始条件和边界条件的数值解一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Analytical Solution Of 1-D Pseudo Homoneneous Model For Oxidation Reaction Using Homotopy Perturbation Method
In this paper, we propose an analytical solution of convective-diffusion equation that derived from an oxidation reaction in a chemical reactor. Here, concentration of feed gas as dependent variable. In this study, the reaction are assumed to be a one-dimensional pseudo homogeneous model and it is evaluated at a certain reaction rate. By rescaling process, the nonlinear term of the reaction rate can be approximated by a linear term, resulting a linear convective-diffusion equation with an initial condition and a set of boundary conditions. Here, we present an analytic solution of the initial condition and the boundary conditions using the homotopy perturbation method. The results show that at the end of the reactor, the solution is in agreement with numerical solution of the initial and boundary conditions.
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