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Analytical solution to predict performance and optimum design parameters of a constructal T-shaped fin with simultaneous heat and mass transfer

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  • Hazarika, Saheera Azmi
  • Bhanja, Dipankar
  • Nath, Sujit
  • Kundu, Balaram

Abstract

The present article establishes an analytical method for predicting the performance of a fully wet constructal T-shaped fin assembly under dehumidifying conditions. The temperature and humidity ratio differences are the driving forces for heat and mass transfer, respectively. The mass transfer process is calculated by adopting the humidity ratio as a polynomial function with fin surface temperature, which is determined from the psychrometric correlation using regression analysis. Considering this, the governing equation of the fin assembly becomes nonlinear. A solution methodology, namely Adomian decomposition method is adopted to determine the temperature field in both the stem and flange part of the T-shaped fin. The thermal performance and optimization analysis of the fin has been carried out for a wide range of thermo-psychometric and geometric parameters. For validation of the present analysis, a numerical scheme called finite difference method has been employed on the same problem. Further a comparative study has also been presented between the present work and published work to show the variation in fin performances due to mass transfer and a reasonable difference in results has been noticed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:84:y:2015:i:c:p:303-316
    DOI: 10.1016/j.energy.2015.02.102
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    References listed on IDEAS

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    1. Yuan, Fang & Chen, Qun, 2011. "Two energy conservation principles in convective heat transfer optimization," Energy, Elsevier, vol. 36(9), pages 5476-5485.
    2. 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.
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    4. 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.
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    11. 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.
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    1. Feng, Huijun & Xie, Zhuojun & Chen, Lingen & Wu, Zhixiang & Xia, Shaojun, 2020. "Constructal design for supercharged boiler superheater," Energy, Elsevier, vol. 191(C).

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