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Article

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

by
P. V. Ananth Subray
1,†,
B. N. Hanumagowda
1,
S. V. K. Varma
1,
A. M. Zidan
2,
Mohammed Kbiri Alaoui
2,
C. S. K. Raju
3,
Nehad Ali Shah
4,† and
Prem Junsawang
5,*
1
School of Applied Sciences, REVA University, Bengaluru 560064, India
2
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
3
Department of Mathematics, GITAM School of Science, Bangalore 562163, India
4
Department of Mathematics, Sejong University, Seoul 05006, Korea
5
Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work and are co-first authors.
Mathematics 2022, 10(20), 3814; https://doi.org/10.3390/math10203814
Submission received: 2 August 2022 / Revised: 21 September 2022 / Accepted: 11 October 2022 / Published: 15 October 2022
(This article belongs to the Special Issue Analysis and Applications of Mathematical Fluid Dynamics)
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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.
Keywords: convection-radiation heat transfer; thermal analysis; differential transformation method; internal heat generation and variable heat conductivity convection-radiation heat transfer; thermal analysis; differential transformation method; internal heat generation and variable heat conductivity

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MDPI and ACS Style

Ananth Subray, P.V.; Hanumagowda, B.N.; Varma, S.V.K.; Zidan, A.M.; Kbiri Alaoui, M.; Raju, C.S.K.; Shah, N.A.; Junsawang, P. Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method. Mathematics 2022, 10, 3814. https://doi.org/10.3390/math10203814

AMA Style

Ananth Subray PV, Hanumagowda BN, Varma SVK, Zidan AM, Kbiri Alaoui M, Raju CSK, Shah NA, Junsawang P. Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method. Mathematics. 2022; 10(20):3814. https://doi.org/10.3390/math10203814

Chicago/Turabian Style

Ananth Subray, P. V., B. N. Hanumagowda, S. V. K. Varma, A. M. Zidan, Mohammed Kbiri Alaoui, C. S. K. Raju, Nehad Ali Shah, and Prem Junsawang. 2022. "Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method" Mathematics 10, no. 20: 3814. https://doi.org/10.3390/math10203814

APA Style

Ananth Subray, P. V., Hanumagowda, B. N., Varma, S. V. K., Zidan, A. M., Kbiri Alaoui, M., Raju, C. S. K., Shah, N. A., & Junsawang, P. (2022). Dynamics of Heat Transfer Analysis of Convective-Radiative Fins with Variable Thermal Conductivity and Heat Generation: Differential Transformation Method. Mathematics, 10(20), 3814. https://doi.org/10.3390/math10203814

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