摘要
在粘性耗散一定的条件下,以热量传递势容耗散取得极值为优化目标,利用变分方法可以导出稳态层流对流换热的场协同方程。场协同方程的意义在于能够求解一定边界条件所对应的最佳速度场,从而实现最优的传热效果。本文采用二维方腔内空气的层流对流换热模型,通过将最佳速度场与其它流场的换热结果进行比较,初步验证了场协同方程的正确性,并对场协同方程的优化过程和原理进行了深入的分析。
When viscous dissipation is constant, Field Coordination Equation of steady laminar convection heat transfer can be derived by variation method for the optimization goal of heat transport potential capacity reaching an extreme. By solving this equation the optimal velocity field has been obtained, which leads to the best heat transfer efficiency in convection. In this paper a two-dimension square model of convection heat transfer is adopted and Field Coordination Equation is verified by comparing the heat transfer efficiency of optimal velocity filed and other flow fields. Further analyses are made on the optimization process and optimization principle of Field Coordination Equation.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2005年第2期289-291,共3页
Journal of Engineering Thermophysics
基金
国家重大基础研究发展规划资助项目(No.G20000263)
关键词
对流换热
场协同方程
最佳速度场
convection heat transfer
Field Coordination Equation
optimal velocity field