摘要
提出低温液相直接进料燃料电池的多孔阳极普遍化理论数学模型,为定量分析多孔阳极的电极极化提供理论依据。该理论效模为一非线性二阶常微分方程边值问题,用以描述多孔电极中过电位和浓度的分布。文中采用ADM机械化的方法得出逼近解析解,并与基于有限差分程序BAND(J)的数值解作了比较。计算结果显示使用前4-6项ADM逼近,解析解即可达到满意的精度。可以看出,作者提出的ADM机械化方法．避免了复杂的推导过程,是求解该类数模的一个简便、快速的有效工具。
The general theoretical model used for the porous anode of Direct Liquid-Feed Fuel Cell （DLFFC） has been deduced, which describes the distribudous of over-potential and concentration in the porous electrode, and predicts the polarization of the porous anode. The mathematical model is a sot of nonlinear ordinary differential equations with boundary value conditions. The approximate solutions were obtained by using the ADM mechanization, and were compared with the numerical solutions of BAND（j） basing on the finite difference method. From the computation results, it can be seen that a satisfying precision of approximate solutions will be reached by adopting only the front four to six terms of the Adomain polynomial. So it is concluded that the ADM mechanization developed in this paper is an efficient tool for solving this sort of mathematical models without any need for the formulas introduced by ADM.
出处
《计算机与应用化学》
CAS
CSCD
北大核心
2006年第12期1250-1254,共5页
Computers and Applied Chemistry
基金
国家自然科学基金(20476067)
