摘要
应用同伦分析法(HAM)求解半无限介质瞬态热传导问题,该问题在不同的热场中有着广泛的应用.将得到的分析结果与精确解和积分法结果进行比较.比较表明,和其它近似方法相比,HAM能够提供更好的近似值.得到了铜、铁和铝在不同时间热流量的变化和温度的分布.
Transient heat conduction in a semi-infinite medium was considered for its many applications in various heat fields. Here, homotopy analysis method （HAM） was applied to solve this problem and analytical results were compared with those of exact and integral methods results. The results show that HAM can give much better approximations than the other approximate methods. Change of heat fluxes and profiles of temperature are obtained in different times and positions for copper, iron and aluminum.
出处
《应用数学和力学》
CSCD
北大核心
2008年第12期1479-1485,共7页
Applied Mathematics and Mechanics
关键词
同伦分析法
半无限介质
传导
瞬态热传递
积分法
温度分布
homotopy analysis method
semi-infinite medium
conduction
transient heat transfer
integral methods
temperature profile
