[1]张 奕,王子介,张小松,等.复合球体非稳态导热的理论解及实例分析[J].南京师范大学学报(工程技术版),2007,07(01):037-40.
　Zhang Yi,Wang Zijie,et al.Analytical Solution for the Heat Conduction Problem in a Compound Sphere and its Applications to an Incapsulated PCM[J].Journal of Nanjing Normal University(Engineering and Technology),2007,07(01):037-40.
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复合球体非稳态导热的理论解及实例分析
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
07卷
期数:
2007年01期
页码:
037-40
栏目:
出版日期:
2007-03-30

文章信息/Info

Title:
Analytical Solution for the Heat Conduction Problem in a Compound Sphere and its Applications to an Incapsulated PCM
作者:
张 奕1;  2;  王子介1;  张小松2;  王 朋1;  戴征舒1
1. 南京师范大学动力工程学院, 江苏南京210042; 2. 东南大学动力工程系, 江苏南京210096
Author(s):
Zhang Yi1; 2; Wang Zijie1; Zhang Xiaosong2; Wang Peng1; Dai Zhengshu1
1.School of Power Engineering,Nanjing Normal University,Nanjing 210042,China;2.Department of Power Engineering,Southeast University,Nanjing 210096,China
关键词:
复合球体;  储能球体;  非稳态导热;  温度函数;  温度曲线
Keywords:
com pound sphere;  therm a l storage sphere;  transient heat conduction;  temperature func tion;  tem pe ra ture curve
分类号:
TQ021.3
摘要:
针对二层复合球体在第三类边界条件下的导热微分方程进行了分析求解.以法国Cristopia公司的C.00型蓄冷冰球为例,对温度函数进行求解,分析了温度函数中特征值、指数值的变化规律.当水分别处于固态和液态时,画出了3个典型时刻冰和水的温度曲线.结果表明,在相同的表面传热条件下,冰和水的最外层几乎同时达到0℃.冰内温度变化比水内变化更剧烈,水开始结冰比冰开始融化需要更长的时间.提供的理论解可用于对相关导热问题的求解,以及为近似解或数值解的准确性提供检验标准.
Abstract:
The transient energy equation o f a ho llow sphere filled w ith phase change m ater ial ( PCM ) used to store therm al energy is ana ly tica lly reso lved under the th ird boundary cond ition, w ith no phase change tak ing place. The tem perature func tion is resolved w ith a typical ice coo l storage sphere, and som e character istics o f the e igenva lue, and the va lue o f the index function are presented, w ith the C. 00 type of stored ice ba ll of a French company o f Cr istopia as an examp le. When w ater is in so lid state and liquid state, the tem pera ture curves o fw ate r and ice a re drawn at 3 typical tem peratures. Under the sam e heat transfer cond itions, it was found that the time needed fo rwa ter to freeze is m uch longe r than the tim e needed fo r ice tom e lt, and the tim e needed for them ost outsides o fw ater and ice to reach the phase change temperature are a lm ost the sam e. The tem perature fie ld in ice show s am ore sharp change than tha t in w ate r dur ing the sam e tim e. The ana lytical so lution can be used to resolve the transient conduction problem in a ho llow sphe re, and it can prov ide a standard fo r evaluating the results of som e approx im a tem ethods, such as integ ra l m ethods and nume ricalm e thods.

参考文献/References:

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[ 2] M ichae lides E E, Feng Z G. H ea t transfer from a r ig id sphere in a nonuniform flow and tem pera ture field[ J] . Int JH eatM ass T ransfe r, 1994, 37( 11): 2 069-2 076.
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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 50376052)、江苏省高校自然科学研究基金( 06KJD480097)资助项目.
作者简介: 张 奕( 1968-) , 副教授, 博士研究生, 主要从事建筑节能与储能的教学与研究. E-m ail:zhangyi@in jnu. edu. cn
更新日期/Last Update: 2013-04-29