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A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities

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  • Torabi, Mohsen
  • Aziz, Abdul
  • Zhang, Kaili

Abstract

This paper establishes the performance characteristics of convective–radiative longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with simultaneous variation of thermal conductivity, heat transfer coefficient and surface emissivity with temperature. The convection and radiation sink temperatures were assumed to be non-zero. The calculations are carried out using the differential transformation method (DTM). The accuracy of the DTM is confirmed by comparing its predictions with the results from an analytical solution and a well-tested numerical procedure. A new idea of volume adjusted fin heat transfer rate, fin effectiveness, and fin efficiency is introduced to compare the performances of trapezoidal and concave parabolic fins with the rectangular fin. Results presented illustrate the effects of thermal conductivity parameter, emissivity parameter, convection–conduction parameter, radiation–conduction parameter, and dimensionless convection and radiation sink temperatures on the performance of fins.

Suggested Citation

  • Torabi, Mohsen & Aziz, Abdul & Zhang, Kaili, 2013. "A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities," Energy, Elsevier, vol. 51(C), pages 243-256.
    • Handle: RePEc:eee:energy:v:51:y:2013:i:c:p:243-256
    DOI: 10.1016/j.energy.2012.11.052
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    References listed on IDEAS

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    1. Sertkaya, Ahmet Ali & Bilir, Şefik & Kargıcı, Suna, 2011. "Experimental investigation of the effects of orientation angle on heat transfer performance of pin-finned surfaces in natural convection," Energy, Elsevier, vol. 36(3), pages 1513-1517.
    2. Elshafei, E.A.M., 2010. "Natural convection heat transfer from a heat sink with hollow/perforated circular pin fins," Energy, Elsevier, vol. 35(7), pages 2870-2877.
    3. Kundu, Balaram & Barman, Debasis, 2011. "An analytical prediction for performance and optimization of an annular fin assembly of trapezoidal profile under dehumidifying conditions," Energy, Elsevier, vol. 36(5), pages 2572-2588.
    Full references (including those not matched with items on IDEAS)

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    2. Uddin, Md. Jashim & Bég, O. Anwar & Uddin, Md. Nazir, 2016. "Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions," Energy, Elsevier, vol. 115(P1), pages 1119-1129.
    3. Torabi, Mohsen & Zhang, Kaili, 2014. "Temperature distribution and classical entropy generation analyses in an asymmetric cooling composite hollow cylinder with temperature-dependent thermal conductivity and internal heat generation," Energy, Elsevier, vol. 73(C), pages 484-496.
    4. P. V. Ananth Subray & B. N. Hanumagowda & S. V. K. Varma & A. M. Zidan & Mohammed Kbiri Alaoui & C. S. K. Raju & Nehad Ali Shah & Prem Junsawang, 2022. "Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method," Mathematics, MDPI, vol. 10(20), pages 1-15, October.
    5. Torabi, Mohsen & Zhang, Kaili & Yang, Guangcheng & Wang, Jun & Wu, Peng, 2014. "Temperature distribution, local and total entropy generation analyses in asymmetric cooling composite geometries with multiple nonlinearities: Effect of imperfect thermal contact," Energy, Elsevier, vol. 78(C), pages 218-234.
    6. Torabi, Mohsen & Zhang, Kaili, 2014. "Classical entropy generation analysis in cooled homogenous and functionally graded material slabs with variation of internal heat generation with temperature, and convective–radiative boundary conditi," Energy, Elsevier, vol. 65(C), pages 387-397.
    7. Kundu, Balaram & Lee, Kwan-Soo, 2014. "Analytical tools for calculating the maximum heat transfer of annular stepped fins with internal heat generation and radiation effects," Energy, Elsevier, vol. 76(C), pages 733-748.
    8. Hazarika, Saheera Azmi & Bhanja, Dipankar & Nath, Sujit & Kundu, Balaram, 2015. "Analytical solution to predict performance and optimum design parameters of a constructal T-shaped fin with simultaneous heat and mass transfer," Energy, Elsevier, vol. 84(C), pages 303-316.
    9. Sousa, J. & Villafañe, L. & Paniagua, G., 2014. "Thermal analysis and modeling of surface heat exchangers operating in the transonic regime," Energy, Elsevier, vol. 64(C), pages 961-969.
    10. Hsiao, Kai-Long, 2013. "Energy conversion conjugate conduction–convection and radiation over non-linearly extrusion stretching sheet with physical multimedia effects," Energy, Elsevier, vol. 59(C), pages 494-502.
    11. Xia, H.H. & Tang, G.H. & Shi, Y. & Tao, W.Q., 2014. "Simulation of heat transfer enhancement by longitudinal vortex generators in dimple heat exchangers," Energy, Elsevier, vol. 74(C), pages 27-36.

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