硅酸二钙烧成过程中的数学模型研究

Study on mathematical model of dicalcium silicate sintering process

提出了一种无烧结条件下硅酸二钙烧成过程的数学模型,在给定模型初始和边界条件下运用软件MATLAB/pdetool模拟了某一粒径下颗粒的传热和传质过程。模拟发现,反应是在一个明显界面上进行,温度和钙离子浓度随着反应的进行无限趋近于设定的模型边界值,模拟结果同笔者的实验结果基本符合。同时在该模型的基础上运用煅烧动力学方程对几种不同粒径颗粒的烧成过程进行了数值计算,计算结果同样与笔者的实验结果较为符合,在误差允许的范围之内。因此可以认为该模型能用来模拟粒径在微米到毫米级范围内二氧化硅颗粒的煅烧过程。

A mathematical model of dicalcium silicate sintering process without sintering conditions was put forward.Under the given initial and limited conditions,heat and mass transfer process using MATLAB for a certain particle size were simulated.It′s discovered that the reaction took place on an obvious interface;both temperature and concentration of calcium ion approached the setting boundary values infinitely in the process of reaction,and simulation results were close to the experimental results of author himself.At the same time,based on the model,numerical calculation on sintering processes using calcination kinetics equation for several particles with different particle sizes was made.Calculation results were also close to experimental results,and error was within the range of permitted.Therefore,this model was suitable for simulating calcination process of dicalcium silicate with size range from micron to millimeter.