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梯形肋片端部第三类边界条件的换热研究
引用本文:何宏舟,杨翔翔.梯形肋片端部第三类边界条件的换热研究[J].华侨大学学报(自然科学版),1993,14(3):370-376.
作者姓名:何宏舟  杨翔翔
作者单位:华侨大学化工与生化工程系,华侨大学化工与生化工程系
摘    要:应用 Haper-Brown 假定,将原属于梯形肋片第三类边界条件的换热问题,转化为第二类边界条件的换热问题即绝热边界问题求解.根据 Frobenius 方法对所求得的控制微分方程式进行解析解,并用四阶 Runge-Kutta 方法结合 Newton-Raphson 方法求得问题的数值解,对上述两种求解结果进行了比较.

关 键 词:肋片  边界条件  梯形  换热  传热

A Study on the Heat Transfer at the Tip of a Trapezoidal Fin under Boundary Condition of the Third Kind
He Hongzhou Yang Xiangxiang.A Study on the Heat Transfer at the Tip of a Trapezoidal Fin under Boundary Condition of the Third Kind[J].Journal of Huaqiao University(Natural Science),1993,14(3):370-376.
Authors:He Hongzhou Yang Xiangxiang
Institution:Department of Chemical and Biochemical Engineering
Abstract:A study is made on the heat transfer at the tip of trapezoidal fin under the first kind boundary condition.For solving the heat transfer problem,the original third kind boundary condition is converted into that of the second kind condition by adopting Haper- Brown assumption,namely,adiabatic boundary condition.An analytic solution of governing differential equation is obtained by Frobenius method;while a numerical solution of the same problem is obtained by fourth order Runge-Kutta method combined with Newton-Raphson method.A comparison is made between the results derived from the two different ways.
Keywords:fin  boundary condition  analytical solution  numerical solution
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