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一类活动边界热传导问题的解析解(英文)
Analytic Solution of a Moving Boundary of Heat Transfer Problem
【摘要】 针对熔解活动边界问题利用误差函数、级数、重积分给出了它的一类解析解 ,解决了长期以来只局限数值解的问题
【Abstract】 This paper treats a typical moving boundary of melting heat transfer problem with arbitrary boundary conditions. It is shown that the proposed error integral method leads to an exact analytical solution. The solution is expressed by an infinite series in terms of functions and polynomials of variable x/t 1/2 and time t. The main theroy of the approach is based on the error function and its repeated integrals.
【关键词】 移动边界;
误差函数;
级数;
重积分;
【Key words】 shrinking core model; moving boundary; analytical solution; error function; repeated integral; infinite series;
【Key words】 shrinking core model; moving boundary; analytical solution; error function; repeated integral; infinite series;
- 【文献出处】 兰州铁道学院学报 ,Journal of Lanzhou Railway Institute , 编辑部邮箱 ,2001年01期
- 【分类号】O175.2
- 【被引频次】1
- 【下载频次】73