摘要
基于构形理论对均匀内热源单点冷却的体点问题进行重新优化。沿用近似解法中'高导热通道上热流密度线性分布'的简化,采用常规方法而非近似解法中的等效导热系数法,对高导热通道的分布进行重新优化,得到与精确解法相一致的优化结果,从而证明了近似解法产生较大偏差的原因并不是高导热通道上热流密度线性分布的简化。按照等效前后最大温差相等的原则,对近似解法中提出的等效导热系数重新进行推导,推导出不同的等效导热系数。将该等效导热系数替代近似解法中的等效导热系数,得到与精确解法相一致的优化结果,从而证明了原等效导热系数并不等效,而这也正是近似解法产生偏差的原因。在澄清近似解法产生偏差原因的同时,找到一个既与精确解一致又相对简便的解法。
The optimization of the ＂volume-point＂ flow problem which generates heat uniformly is repeated based on constructal theory. With help of the simplification method used in the approximate solution that the heat input into the high conductivity channel is uniform, and the calculation in the routine way, a result consistent with the exact result is deduced, and the cause of the error in the approximate solution is not the reasonable simplification is proved. According to the principle that the maximum temperature after and before the equivalent transformation should be the same, the equivalent thermal conductivity put forward in the approximate solution is deduced again, and a correct equivalent thermal conductivity is obtained. Substituting the equivalent thermal conductivity with the original one, a consistent result is obtained, the original equivalent thermal conductivity is not equivalent, which is also the real cause of the error. The cause of the error is clarified, while a new solution which is relatively simple but consistent with the exact solution is obtained.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2007年第12期55-58,共4页
Journal of Mechanical Engineering
基金
全国优秀博士学位论文作者专项资金(200136)
国家重点基础研究发展计划(973计划
G2000026301)资助项目
关键词
构形理论
体点问题
等效导热系数
广义热力学优化
Constructal theory＂Volume-point＂ flow problemEquivalent thermal conductivity efficientGeneralized thermodynamic optimization
