基于加权残值法的高温燃料电池温度分布特性的数值分析

加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。通过对熔融碳酸盐燃料电池(MCFC)内部传热传质过程的热力学性能分析,在质量守恒和能量守恒的基础上建立了MCFC温度动态分布的数学模型,并采用加权残值法对其进行求解分析。确定了满足模型边界条件的试函数,以三次正交多项式为基函数,利用加权残值法中的迦辽金法,结合Matlab工具得到MCFC温度的动态分布特性曲线。分析结果表明,燃料电池内部各点温度在空间分布上有很大差异;当供给燃料电池的燃料流量和氧化剂流量变化时,所引起的温度动态特性是复杂的。图3参5。

Numerical Analysis of Temperature Distribution of a High-temperature Fuel Cell in the Method of Weighted Residuals

The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations. On the basis of thermodynamic analysis of mass and heat transfer characteristics of MCFC (molten carbonate fuel cell) and laws of mass and heat conservation, a mathematical model of the dynamic temperature distribution in MCFC was formed and a solution found with the weighted residual method. For this purpose, trial functions satisfying boundary conditions of the model was were assured, for which cubic orthogonal polynomials were taken, and the temperature distribution curves obtained with the help of the Galerkin method with Matlab as a tool. Analysis results show that temperatures at various points inside MCFC may differ a lot; dynamic temperature characteristics induced by flow rate alterations of both fuel and oxidant may get quite complicated. Figs 3 and refs 5.