Analytical and numerical investigation of combined convection-radiation heat transfer from conical spine extended surface

被引：0
作者：
Abdulkareem M.A. [1 ]
Al-Tabbakh A.A. [1 ]
机构：
[1] Mechanical Engineering Department, College of Engineering, Al-Mustansiriyah University, Baghdad
来源：
International Journal of Thermal Sciences | 2020年 / 152卷
关键词：
Conical spine extended surface; Finite volume method; Kirchhoff's transformation; Radiation heat transfer coefficient; Thermal conductivity;
D O I：
10.1016/j.ijthermalsci.2020.106292
中图分类号：
学科分类号：
摘要：
The steady-state, one-dimensional, Cartesian coordinate, non-linear ordinary differential energy equation of heat conduction through a conical spine extended surface of a thermal conductivity temperature dependent property that is proposed by an available quadratic function of a computer fitted model of a published experimental data is solved analytically using Kirchhoff's transformation and numerically using the finite volume method. It is assumed that this extended surface is subjected with a Dirichlet and Neumann's boundary conditions of temperature at its base and tip respectively. The combined convection-radiation mode of heat transfer is imposed along the surface of the conical spine. Three case studies are investigated. The thermal conductivity is assumed constant in the first case and it is variable with temperature in the second and third cases, while the radiation heat transfer is neglected in the first and second cases and it is taken into account in the third case. In addition, the effect of the conical spine aspect ratio on its performance is investigated. Aluminum Alloy (A319) material of extended surface is selected. Excellent agreement between the predicted results of the numerical and analytical solution of the present work (case study 1) when compared with the experimental measurement of previously published paper. In addition, excellent agreement between the analytical and numerical results of the present work for all case studies. It shows a maximum error of temperature difference of less than (0.022%). It is found that the dissipated heat due to combined convection-radiation mode from the surface of the conical spine extended surface to the environment is greater than that due to convection mode only. In addition, increasing the value of aspect ratio of the conical spine extended surface will decrease its efficiency. © 2020 Elsevier Masson SAS
引用
收藏
相关论文
共 33 条
  • [1] Myers G.E., Analytical Methods in Conduction Heat Transfer, (1998)
  • [2] Kraus J., Allan D., Aziz A., Welty, Extended Surface Heat Transfer, (2002)
  • [3] Incropera F.P., Lavine A.S., Bergman T.L., DeWitt D.P., Principles of Heat and Mass Transfer, (2013)
  • [4] Azrz A., Periodic heat transfer in fins with variable thermal parameters, Int. J. Heat Mass Tran., 24, 8, pp. 1397-1404, (1981)
  • [5] KAA, Mujahid A.A.M., Heat transfer in straight fins of arbitrary profile subjected to periodic base and environment temperatures, Warme- und Stoffiibertragungrme, 24, pp. 353-361, (1989)
  • [6] Assis E., Kalman H., Transient temperature response of different fins to step initial conditions, Int. J. Heat Mass Tran., 36, 17, pp. 4107-4114, (1993)
  • [7] Assis E., Laor K., Kalman H., Experimental and theoretical investigation of the transient temperature response of spines in free convection, Exp. Therm. Fluid Sci., 9, 3, pp. 289-298, (1994)
  • [8] Mao J., Rooke S., Transient analysis of extended surfaces with convective tip, Int. Commun. Heat Mass Tran., 21, pp. 85-94, (1994)
  • [9] Onur N., A simpilfied aproach to the transient conduction in a two-dimensional fin, Int. Commun. Heat Mass Tran., 23, 2, pp. 225-238, (1996)
  • [10] Razelos P., Kakatsios X., Optimum dimensions of convecting - radiating fins: Part I - longitudinal fins, Appl. Therm. Eng., 20, pp. 1161-1192, (2000)
1234