ANALYTICAL SOLUTION TO CONVECTION-RADIATION OF A CONTINUOUSLY MOVING FIN WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

被引:5
作者
Moradi, Amir [1 ]
Rafiee, Reza [2 ]
机构
[1] Azad Univ, Young Researchers Club, Islam Arak Branch, Arak, Iran
[2] Tarbiat Modares Univ, Dept Mech Engn, Tehran, Iran
来源
THERMAL SCIENCE | 2013年 / 17卷 / 04期
关键词
differential transformation method; fin; fin tip temperature; exponential; radiation; LAMINAR BOUNDARY-LAYER; HEAT-TRANSFER; DIFFERENTIAL TRANSFORM; SHEET; FLUID; MOMENTUM; SURFACE; SUCTION; PLATE; FLOW;
D O I
10.2298/TSCI110425005M
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this article, the simultaneous convection-radiation heat transfer of a moving fin of variable thermal conductivity is studied. The differential transformation method is applied for an analytic solution for heat transfer in fin with two different profiles. Fin profiles are rectangular and exponential. The accuracy of analytic solution is validated by comparing it with the numerical solution that is obtained by fourth-order Runge-Kutta method. The analytical and numerical results are shown for different values of the embedding parameters. Differential transformation method results show that series converge rapidly with high accuracy. The results indicate that the fin tip temperature increases when ambient temperature increases. Conversely, the fin tip temperature decreases with an increase in the Peclet number, convection-conduction and radiation-conduction parameters. It is shown that the fin tip temperature of the exponential profile is higher than the rectangular one. The results indicate that the numerical data and analytical method are in a good agreement with each other.
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页码:1049 / 1060
页数:12
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