Analyzing of Temperature-Dependent Thermal Conductivity Effect in the Numerical Modeling of Fin-Tube Radiators: Introduction of a New Method

Authors: Farzad Bazdidi-Tehrani, Mohammad Hadi Kamrava

Abstract:

In all industries which are related to heat, suitable thermal ranges are defined for each device to operate well. Consideration of these limits requires a thermal control unit beside the main system. The Satellite Thermal Control Unit exploits from different methods and facilities individually or mixed. For enhancing heat transfer between primary surface and the environment, utilization of radiating extended surfaces are common. Especially for large temperature differences; variable thermal conductivity has a strong effect on performance of such a surface .In most literatures, thermo-physical properties, such as thermal conductivity, are assumed as constant. However, in some recent researches the variation of these parameters is considered. This may be helpful for the evaluation of fin-s temperature distribution in relatively large temperature differences. A new method is introduced to evaluate temperature-dependent thermal conductivity values. The finite volume method is employed to simulate numerically the temperature distribution in a space radiating fin. The present modeling is carried out for Aluminum as fin material and compared with previous method. The present results are also compared with those of two other analytical methods and good agreement is shown.

Keywords: Variable thermal conductivity, New method, Finitevolume method, Combined heat transfer, Extended Surface

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085595

References:

[1] Callinan, J. P, Berggren, W. P, 1959, Some Radiator Design Criteria for Space Vehicles, J. Heat Transfer, 81, p. 237.
[2] J.E. Wilkins Jr., Minimizing the mass of thin radiating fins, J. Aerospace Sci. 27 (1960)
[3] J.G. Bartas, W.H. Sellers, Radiation fin effectiveness, J. Heat Transf. 82C (1960) 73-75.
[4] Norbert O. Stockman, Edward C. Bittner, und Earl L. Sprague, Comparison of One-And Two-Dimensional Heat-Transfer Calculations in Central Fin-Tube Radiators, NASA TN D-3645, 1966.
[5] R.D. Cockfield, Structural optimization of a space radiator, J. Spacecraft Rockets 5 (10) (1968) 1240-1241.
[6] R.J. Naumann, Optimizing the design of space radiators, Int. J. Thermophys. 25 (2004) 1929-1941.
[7] Cihat Arslanturk, Optimum design of space radiators with temperaturedependent thermal conductivity, Applied Thermal Engineering 26 (2006) 1149-1157.
[8] M. J. Hosseini, M. Gorji, and M. Ghanbarpour, Solution of Temperature Distribution in a Radiating Fin Using Homotopy Perturbation Method, Mathematical Problems in Engineering Volume 2009, Article ID 831362.
[9] F. Bazdidi-Tehrani, M.H. Kamrava, Combined Heat Transfer Calculations in a Fin-Tube Radiators with Temperature-dependent Thermal Conductivity, International Conference on Mechanical and Industrial Engineering, WASET, (2010), Singapore, pp176-184.
[10] S.V.Patankar, Numerical Heat transfer and fluid flow, Taylor and Francis, first edition, 1980.
[11] John E., Hatch, Aluminum: properties and physical metallurgy, Volume 1, Aluminum Association, American Society for Metals, 10th edition, April 2005.
[12] Y.S., Toloukian, C.Y., Ho, Properties of Aluminum and Aluminum alloys, Thermophysical Properties Research Center, Purdue University, Lafayettee, IN, Report 21, 1973, p.43.
[13] Frank P., Incropera, David P., Dewitt, Introduction to heat transfer, John Wiley and sons, 4th edition, 2002.