等截面纵向直肋一维修正传热方程及近似解

Modified One Dimensional Heat Transfer Equation and Its Approximate Solution of Rectangular Longitudinal Fin

本文推出了等截面矩形直肋的一维修正传热方程及修正近似解。数值比较结果表明本文提出的公式不仅具有原经典公式相同的形式及简洁性，而且使得肋根部热流率及各截面平均温度的计算精度有了显著的提高，尤其适合于较大的Ｂｉ数情况。

An improved one dimensional heat transfer equation of the rectangular longitudinal fin with uniform section and its modified approximate solution are proposed.The resulting modified expression is as simple as that obtained from the classical approach,but the accuracy on heat transfer rate at the root and average temperature at each section along the fin is significantly improved.The present analysis extends the applicability range of the very simple one dimension formulation to considerably larger values of Biot number at the lateral section of rectangular longitudinal fin.