摘要
用正交样条配置法求解文[1]中提出的微观混和数学问题,得到了令人满意的结果,然后以正交配置解为比较基础,提出了两种更为简单的近似方法:相似解方法和平均近似解法。本文的工作较好地解决了片状结构模型的计算求解问题。
In our series paper (Ⅵ), the mathematical problem describing micromixing and competitive-consecutive reactions was greatly simplified to a weak-nonlinear partial differential equation with finite domain by means of certain transformations and by making use of the analytical solutions. This paper further deals with numerical approaches suitable to solve the equation. Firstly, the orthogonal spline collocation method (OSCM) was utilized to fit the steep concentration gradients at the moving reacting surface. Secondly, two simpler approximate methods were tested, in which the concentration profile was either approximated by a tetranomial or by a space-average value. Computational results showed that the OSCM gives fair satisfactory results, and the product distributions for competitive-consecutive reactions given by all the three methods were very close. Thus, the methods developed in this paper can effectively overcome the numerical difficulties for solution of the slice structure model.
出处
《化学反应工程与工艺》
CAS
CSCD
北大核心
1993年第1期18-25,共8页
Chemical Reaction Engineering and Technology
基金
国家自然科学基金
中国石化总公司基础研究基金
