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Analytical Solution for the Heat Conduction Problem in a Compound Sphere and its Applications to an Incapsulated PCM(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2007年01期
Page:
37-40
Research Field:
Publishing date:

Info

Title:
Analytical Solution for the Heat Conduction Problem in a Compound Sphere and its Applications to an Incapsulated PCM
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
Keywords:
com pound sphere;  therm a l storage sphere;  transient heat conduction;  temperature func tion;  tem pe ra ture curve
PACS:
TQ021.3
DOI:
-
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.

References:

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Last Update: 2013-04-29