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相变平板传热问题的一种精确解法
引用本文:吴南路,王立,孔庆瑞.相变平板传热问题的一种精确解法[J].哈尔滨商业大学学报(自然科学版),2006,22(2):109-111.
作者姓名:吴南路  王立  孔庆瑞
作者单位:1. 黑龙江省西埃迪建筑设计院,黑龙江,哈尔滨,150090
2. 哈尔滨工业大学,建筑设计研究院,黑龙江,哈尔滨,150090
3. 哈浦房地产开发公司,黑龙江,哈尔滨,150090
摘    要:以一维半无限大相变传热问题的精确解为基础,给出一维有限尺寸相变传热问题带有待定系数的一般解.利用问题的定解条件得到包含待定系数的超越方程.用数值方法解超越方程,从而获得传热问题的精确解.计算结果表明,在一定参数范围内精确解与近似解符合得相当好.

关 键 词:相变平板  传热  偏微分方程  贮热相变材料  相变传热分析  用于供暖与空调的贮热
文章编号:1672-0946(2006)02-0109-03
修稿时间:2005年11月20

Study on accurate solution for thermal transfer problem of phase-change plate
WU Nan-lu,WANG Li,KONG Qing-rui.Study on accurate solution for thermal transfer problem of phase-change plate[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2006,22(2):109-111.
Authors:WU Nan-lu  WANG Li  KONG Qing-rui
Abstract:On the basis of an accurate solution for the thermal transfer problem of one dimensional semi-infinite size,a general solution with a coefficient needing to be determined is given.Using conditions to determine solution for the problem,a transcendental equation including the coefficient needing to be determined is obtained.Applying numerical method to solve the transcendental equation,thus an accurate solution for the thermal transfer problem is received.Calculation results showed that the values of the accurate solution accords well with the values of the approximate solution in a certain scope of the parameter.
Keywords:phase change plate  thermal transfer  partial differential equations  heat storage and phase change materials  thermal transfer analysis of phase change  heat storage for heating and air conditioning
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