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一类非线性热传导方程移动边界问题的分析近似解
Approximate Analytic Solution of a Clacc of Moving Boundary Problem for Nonlinear Heat Conduction Equation
【摘要】 本文通过Kirchhoff变换,自变量变换和构造Fourier型级数,对热物性参数K、ρ、C_p与温度T有关的一类非线性热传导方程移动边界问题求出了分析近似解。本文推广了文章[1—2]的结果。
【Abstract】 In this paper, the thermal parameters K, and, and Cp are functions of temperature, vnder certain conditions, the approximate analytic solution of a class of moving boundary problem for nonlinear heat conduction equation is obtained by using Kirchhoff transformation, and transformation of variable, and series of Fourier type.
【关键词】 非线性热传导方程;
移动边界;
Kirchhoff变换;
Fourier方法;
分析近似解;
【Key words】 Nonlinear heat conduction; Moving boundary; Kirchhoff transformation; Fourier method; Approximate analytic solution;
【Key words】 Nonlinear heat conduction; Moving boundary; Kirchhoff transformation; Fourier method; Approximate analytic solution;
- 【文献出处】 安徽师大学报(自然科学版) ,Journal of Anhui Normal University(Natural Science) , 编辑部邮箱 ,1992年03期
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