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Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method

Author

Listed:
  • P. V. Ananth Subray

    (School of Applied Sciences, REVA University, Bengaluru 560064, India
    These authors contributed equally to this work and are co-first authors.)

  • B. N. Hanumagowda

    (School of Applied Sciences, REVA University, Bengaluru 560064, India)

  • S. V. K. Varma

    (School of Applied Sciences, REVA University, Bengaluru 560064, India)

  • A. M. Zidan

    (Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia)

  • Mohammed Kbiri Alaoui

    (Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia)

  • C. S. K. Raju

    (Department of Mathematics, GITAM School of Science, Bangalore 562163, India)

  • Nehad Ali Shah

    (Department of Mathematics, Sejong University, Seoul 05006, Korea
    These authors contributed equally to this work and are co-first authors.)

  • Prem Junsawang

    (Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

Abstract

The study of convective heat transfer in differently shaped fins with radiation, internal heat generation and variable thermal conductivity was considered. The energy equation of the model was converted into the dimensionless form by adopting the proper variables, which was later solved using the differential transformation method. The impact of the parameters on the thermal performance, efficiency and heat transfer of the fins was analyzed graphically and also by performing thermal analysis on the fins. It was noticed that there was a significant effect on the thermal performance of the fins with different shapes, and also the heat transfer rate of the fin increased for improved values of the internal heat generation and radiation parameters. The exponential profile showed better results than other profiles, and the results obtained were supported by thermal analysis using ANSYS software.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3814-:d:943588
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    References listed on IDEAS

    as
    1. 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.
    2. Ryoichi Chiba, 2014. "A Series Solution for Heat Conduction Problem with Phase Change in a Finite Slab," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, November.
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    Cited by:

    1. Arushi Sharma & B. N. Hanumagowda & Pudhari Srilatha & P. V. Ananth Subray & S. V. K. Varma & Jasgurpreet Singh Chohan & Shalan Alkarni & Nehad Ali Shah, 2023. "A Thermal Analysis of a Convective–Radiative Porous Annular Fin Wetted in a Ternary Nanofluid Exposed to Heat Generation under the Influence of a Magnetic Field," Energies, MDPI, vol. 16(17), pages 1-15, August.

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