含偏心热源同轴多层圆柱稳态温度场分析

Steady Heat Transfer Analysis of a Multilayered Coaxial Cylinder with an Eccentric Heat Source

针对含偏心热源同轴圆柱多层介质结构的稳态传热问题,本文根据多极理论传热模型给出多层结构中含待定系数无穷级数的温度场通式,并利用边界条件与源条件,得到层与层之间的递推关系进而求解温度场的表达式,具有形式简单可应用到任意多层介质的特点。将该方法应用于土壤源热泵系统的U型地埋管传热过程,验证了其可靠性,从而为同轴圆柱多层介质结构传热分析提供了一种新的有效工具。

A general expression of temperature field in series with unknown coefficients in multilayered structure was presented according to multipole theory heat transfer models for steady heat transfer questions in coaxial cylinder with an eccentric heat source in multilayered medium. Expressions of temperature field based on a technique by which a recurrence relation between layer and layer were developed using boundary and line heat source conditions, which was simple and applicable to arbitrary number of heat conducting media layers. The application of the method in analyzing heat transfer process of U-tube ground heat exchangers for ground source heat pump systems validates its reliability. These general analytical solutions will provide a new and efficient tool to analyze the heat transfer of a coaxial cylinder structure with multilayered medium.