International Journal of Energy and Power Engineering

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Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin

Received: 07 May 2014    Accepted: 15 May 2014    Published: 20 June 2014
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Abstract

In this work, analytical models are developed for determining temperature distribution, heat transfer and the efficiency of radiating fin. The developed models are used to investigate the effects of various thermo-geometric properties on the temperature distribution and consequently on the performance of the radiating fin. The effects of fin tip conditions on the thermal performance of the fin are also examined. From the results, it is shown that the variation in the thermo-geometric parameters (fin tip Biot number, modified Biot number and efficiency) of the fin has pronounced effects on the temperature distribution and consequently on the performance of the fin especially when a large temperature difference exists between the prime surface and the environment. The results obtained in this study serve as basis for determining the level of accuracy of any other approximation method use in the analysis of the problem and also, it could be used to improve the design of radiating fin in heat transfer equipment.

DOI 10.11648/j.ijepe.20140303.15
Published in International Journal of Energy and Power Engineering (Volume 3, Issue 3, June 2014)
Page(s) 139-146
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Analytical Solution, Temperature Distribution, Heat Transfer, Thermo-geometric Parameters, Radiating Fin

References
[1] R.D. Cockfield, Structural optimization of a space radiator, J. Spacecraft Rockets 5 (10) (1968) 1240–1241.
[2] J.E. Jr Wilkins Minimizing the Mass of Thin Radiating Fins, J. Aerospace Science, Vol. 27, 1960, 145-146.
[3] N. M. Schnurr, “Radiation from an array of longitudinal fins of triangular profile”, AIAA Journal, Vol. 13, 1975, 691-693.
[4] S. P. Venkateshan; Go-pinath, Ashok, “Asymptotic analysis of a uniform area radiating fin” , Canadian Society for Me-chanical Engineering, Transactions, Vol. 11, No. 2, 1978,103-108.
[5] T. J. Love and J. E. Fran-cis, A linearized analysis for longitudinal fins with radioactive and convective exchange Thermo physics and Heat Transfer Conference, Palo Alto, Calif., AIAA, 1978.
[6] R. D. Karam and R. J. Eby, “Linearized solution of conducting radiating fins,” AIAA Journal (Fluid Mechanics and Heat Transfer), Vol. 16, 1978, 536-538.
[7] N. M. Schnurr.; M. A. Townsend.; A. B. Shapiro, "Opti-mization of radiating fin arrays with respect to weight", ASME, Transactions, Series C - Journal of Heat Transfer, Vol. 98, 1976, 643-648.
[8] R. G. Eslinger and B. T. F. Chung. Periodic heat transfer in radiating and convecting fins or fin arrays, American Institute of Aeronautics and As-tronautics and American Society of Mechanical Engineers, Thermo physics and Heat Transfer Conference, Palo Alto, Calif., AIAA ,1978.
[9] H. V. Truong and R. J. Mancuso, Performance predictions of radiating annular fins of various profile shapes, American Society of Mechanical Engineers and American Institute of Chemical Engineers, Joint National Heat Transfer Conference, Orlando, Fla., ASME 5, 1980.
[10] H. V. Chang, Optimization of a heat pipe radiator design, Thermo physics Conference, Snowmass, CO, 1984.
[11] F. G. Zaulichnyi, Possibilities for im-proving the characteristics of a radiator cooler through the use of finned heat pipes as radiating elements, Sibirskii Fiziko- Tekhnicheskii Zhurnal (ISSN 0869-1339) , Category: Fluid Mechanics and heat transfer, 1991,20-26.
[12] S. Sunil Kumar and Venkateshan S. P. "Optimized Tubular Ra-diator with Annular Fins on a Non-Isothermal Base, Int. J. Heat and Fluid Flow", Vol.15, 399-409, 1994.
[13] R. N. Krikkis and R. Panagiotis Optimum Design of Spacecraft Radiators with Lon-gitudinal Rectangular and Triangular Fins, J. Heat Transfer, Vol.124, 805-811, 2002.
[14] R. J. Naumann, Optimizing the design of space radiators, Int. J. Thermophys. 25 (2004)1929–1941
[15] A. Cihat, Optimum design of space radiators with tempera-ture-dependent thermal conductivity, Applied Thermal Engineering 26 (2006) 1149–1157.
[16] M. J. Hosseini, M. Gorji and M. Ghanbarpour, Solution of Temperature Dis-tribution in a Radiating Fin Using Homotopy Perturbation Method, Mathematical Problems in Engineering Volume 2009, Article ID 831362.
[17] F. Bazdidi-Tehrani, and 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.
Author Information
  • Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

  • Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

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  • APA Style

    Bayo Yemisi Ogunmola, Gbeminiyi Sobamowo. (2014). Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin. International Journal of Energy and Power Engineering, 3(3), 139-146. https://doi.org/10.11648/j.ijepe.20140303.15

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    ACS Style

    Bayo Yemisi Ogunmola; Gbeminiyi Sobamowo. Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin. Int. J. Energy Power Eng. 2014, 3(3), 139-146. doi: 10.11648/j.ijepe.20140303.15

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    AMA Style

    Bayo Yemisi Ogunmola, Gbeminiyi Sobamowo. Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin. Int J Energy Power Eng. 2014;3(3):139-146. doi: 10.11648/j.ijepe.20140303.15

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  • @article{10.11648/j.ijepe.20140303.15,
      author = {Bayo Yemisi Ogunmola and Gbeminiyi Sobamowo},
      title = {Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin},
      journal = {International Journal of Energy and Power Engineering},
      volume = {3},
      number = {3},
      pages = {139-146},
      doi = {10.11648/j.ijepe.20140303.15},
      url = {https://doi.org/10.11648/j.ijepe.20140303.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijepe.20140303.15},
      abstract = {In this work, analytical models are developed for determining temperature distribution, heat transfer and the efficiency of radiating fin. The developed models are used to investigate the effects of various thermo-geometric properties on the temperature distribution and consequently on the performance of the radiating fin. The effects of fin tip conditions on the thermal performance of the fin are also examined. From the results, it is shown that the variation in the thermo-geometric parameters (fin tip Biot number, modified Biot number and efficiency) of the fin has pronounced effects on the temperature distribution and consequently on the performance of the fin especially when a large temperature difference exists between the prime surface and the environment. The results obtained in this study serve as basis for determining the level of accuracy of any other approximation method use in the analysis of the problem and also, it could be used to improve the design of radiating fin in heat transfer equipment.},
     year = {2014}
    }
    

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  • TY  - JOUR
    T1  - Analytical Investigations of Thermo-Geometrical Parameters Effects on Heat Transfer and Performance of Longitudinal Radiating Fin
    AU  - Bayo Yemisi Ogunmola
    AU  - Gbeminiyi Sobamowo
    Y1  - 2014/06/20
    PY  - 2014
    N1  - https://doi.org/10.11648/j.ijepe.20140303.15
    DO  - 10.11648/j.ijepe.20140303.15
    T2  - International Journal of Energy and Power Engineering
    JF  - International Journal of Energy and Power Engineering
    JO  - International Journal of Energy and Power Engineering
    SP  - 139
    EP  - 146
    PB  - Science Publishing Group
    SN  - 2326-960X
    UR  - https://doi.org/10.11648/j.ijepe.20140303.15
    AB  - In this work, analytical models are developed for determining temperature distribution, heat transfer and the efficiency of radiating fin. The developed models are used to investigate the effects of various thermo-geometric properties on the temperature distribution and consequently on the performance of the radiating fin. The effects of fin tip conditions on the thermal performance of the fin are also examined. From the results, it is shown that the variation in the thermo-geometric parameters (fin tip Biot number, modified Biot number and efficiency) of the fin has pronounced effects on the temperature distribution and consequently on the performance of the fin especially when a large temperature difference exists between the prime surface and the environment. The results obtained in this study serve as basis for determining the level of accuracy of any other approximation method use in the analysis of the problem and also, it could be used to improve the design of radiating fin in heat transfer equipment.
    VL  - 3
    IS  - 3
    ER  - 

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