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Thermal design parameters of a wet T-shaped fin for linear variation of humidity ratio with saturation temperature

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Abstract

An analytical model based on homotopy perturbation method is developed to analyze the thermal performance and optimum geometric dimensions of a T-shaped fin under fully wet condition by adopting a linear model between the humidity ratio of saturated air adjacent to the fin surface and the corresponding fin surface temperature. The optimization analysis is done by using the Lagrange multiplier technique and by maximizing the heat transfer rate for a constraint fin volume. The analysis is done in a comparative way between linear variation and cubic variation of the humidity ratio with the corresponding saturation temperature. Finally, it can be concluded that the consideration of the linear model for analysis of wet T-shaped fin does not introduce any significant deviation in results.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, 788010, India

    Saheera Azmi Hazarika, Dipankar Bhanja & Sujit Nath

  2. Department of Mechanical Engineering, Jadavpur University, Kolkata, 700 032, India

    Balaram Kundu

Authors
  1. Saheera Azmi Hazarika
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  2. Dipankar Bhanja
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  3. Sujit Nath
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  4. Balaram Kundu
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Corresponding author

Correspondence to Balaram Kundu.

Additional information

Recommended by Associate Editor Jae Dong Chung

Saheera Azmi Hazarika graduated in Mechanical Engineering from Assam Engineering College, Assam, India. She obtained her M.Tech. in Thermal Engineering from National Institute of Technology Silchar, India. Presently she is a research scholar in the Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India. Her research areas are simultaneous heat and mass transfer, Constructal theory and optimization.

Dipankar Bhanja is an Assistant Professor in the Department of Mechanical Engineering in National Institute of Technology Silchar, Assam, India. He received his Ph.D. degree from Jadavpur University, Kolkata, India. His area of expertise includes Analytical heat transfer, Solar energy, Extended surface heat transfer, Heat transfer through porous fin surface, Constructal theory etc. He is the author of many technical papers published in referred International journals. He is a reviewer of many international journals of repute.

Sujit Nath received his Ph.D. degree from Jadavpur University, Kolkata, India. Presently he is an Assistant Professor in the Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India. His research areas are CFD, Heat Transfer, Atomization and Solar energy. He is a reviewer in many international journals of repute and also published many technical papers in referred International journals.

Balaram Kundu is a Professor in the Department of Mechanical Engineering at Jadavpur University since January 2014. He received his Ph.D. degree in Mechanical Engineering from IIT Kharagpur in 2000. He worked as a Research Professor in the School of Mechanical Engineering at Hanyang University, Seoul, South Korea for two years and nine months. He published more than ninety research papers in referred international journals. He is recipient of Institutional Medal for the best paper published in the Journal of the Institution of Engineers (India), Outstanding Faculty Award - the VIFFA 2015, CEE Teacher’s Excellence Award 2015, Distinguished Scientist - VIRA 2017, etc. He is an Editor/Editorial Board Member of more than seventeen international journals.

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Hazarika, S.A., Bhanja, D., Nath, S. et al. Thermal design parameters of a wet T-shaped fin for linear variation of humidity ratio with saturation temperature. J Mech Sci Technol 32, 2391–2397 (2018). https://doi.org/10.1007/s12206-018-0451-y

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  • DOI: https://doi.org/10.1007/s12206-018-0451-y

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