具有振荡边界热源的两类融化问题的数值研究  

Numerical Study of Two Types of Melting Problems with Oscillation Boundary Heat Sources

作　　者：曲良辉[1] 邢琳[1] 徐建国[1] 令锋[2] 

机构地区：[1]中原工学院理学院,河南郑州450007 [2]肇庆学院数学与统计学院,广东肇庆526061

出　　处：《河南科技》2015年第4期112-116,共5页Henan Science and Technology

基　　金：国家自然科学基金项目(41271076);河南省基础与前沿技术研究计划项目(142300410251和142300410355)

摘　　要：构造定时间步长的有限差分方法求解具有周期振荡热源的球型和柱型两类融化问题,对融化过程中移动界面的运动和液态介质内温度场的变化进行数值模拟,并分析Stefan数、热源周期振荡的振幅和频率对移动界面运动和温度场分布的影响。数值实验结果表明,Stefan数对于移动界面的运动和温度场的变化会产生非常大的影响,而边界热源周期性的振荡对移动界面的运动会随着相变区域的增大而不断减弱。该问题的数值模拟为工程实践中的相变传热问题提供重要的理论参考。Finite difference method with fixed time-step is established to calculate spherical and cylindrical melting problems with periodically oscillating heat sources . The evolution of the moving interface and the temperature field within the liquid media in the melting process are numerically simulated. Also the effects of the Stefan number, the amplitude and frequency of the periodically oscillating heat sources on the evolution of the moving interface and the temperature distribution are analyzed. Numerical experiment results show that the Stefan number strongly influences the temperature distribution and the evolution of the moving interface, while the effect of the periodically oscillating heat sources on the evolution of the moving interface diminishes the phase change domain grows. Numerical simulation of the problem provides an important theoretical reference for phase change heat transfer problems in engineering practice.

关 键 词：融化 振荡热源 移动界面 温度 数值模拟 

分 类 号：O241.82[理学—计算数学]