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

P. V. Ananth Subray, B. N. Hanumagowda, S. V. K. Varma, A. M. Zidan, Mohammed Kbiri Alaoui, C. S. K. Raju, Nehad Ali Shah and Prem Junsawang ()
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P. V. Ananth Subray: School of Applied Sciences, REVA University, Bengaluru 560064, India
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
Prem Junsawang: Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2022, vol. 10, issue 20, 1-15

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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