基于差分隐格式的双层玻璃窗隔热问题分析  

Heat Insulation Problem of Double-glazed Window Basedon Differential Implicit Scheme

作　　者：范葛贤 刘伟 FAN Gexian;LIU Wei(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2023年第1期56-62,共7页Journal of Ludong University:Natural Science Edition

基　　金：山东省自然科学基金(ZR2019MA049)。

摘　　要：本文使用有限差分隐格式,对双层玻璃窗的隔热问题进行研究并数值模拟。分析双层玻璃窗结构,建立关于空间一维的热传导方程;根据热流密度相等给出内边界耦合条件、第一类左边界条件和第三类右边界条件;对模型方程离散化处理,采用有限差分隐格式进行数值模拟,并分析玻璃总厚度相同时单层玻璃窗的隔热情况。对比分析可知,在其他条件相同情况下,室外温度为24.78℃时,带有厚度为12 mm空气夹层的双层玻璃窗的室内温度比单层玻璃窗低5.41℃。In this paper,the heat insulation of double-glazed window is studied and simulated by finite difference implicit scheme.The structure of double-glazed window was analyzed and one-dimensional heat conduction equation was established.The inner boundary coupling condition,the first kind of left boundary condition and the third kind of right boundary condition were given according to heat flux equality.The finite difference implicit scheme was used to simulate the discretization of the model equations,and the thermal insulation of single-glazed window with the same total thickness was analyzed.The comparative analysis shows that under the same other conditions,when the outdoor temperature is 24.78℃,the indoor temperature of double-glazed window with 12 mm air sandwich is 5.41℃,which is lower than that of single-glazed window.

关 键 词：双层玻璃窗 热传导方程 有限差分隐格式 数值计算 

分 类 号：O241.82[理学—计算数学]