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Discontinuity, Nonlinearity, and Complexity 15(4) (2026) 553--565 | DOI:10.5890/DNC.2026.12.006

G. Petchiammal$^{1}$, S. Sivasankari$^{2}$, V. Ananthaswamy$^{2}$, V. K. Santhi$^{3}$

$^{1}$ Department of Mathematics, V. H. N. Senthikumara Nadar College, (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

$^{2}$ Research Centre and PG Department of Mathematics, The Madura College, (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

$^{3}$ PG Department of Mathematics (Retd.), Sri Meenakshi Government Arts College for Women, (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

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Abstract

The mathematical modeling and analysis of radial annular fins exposed to heat radiation in a porous medium is the main focus of this work. The transformed, non-dimensional temperature equation is resolved utilizing a recently developed approximate analytical method, yielding a semi-analytical solution. An understandable format is used to display the temperature profile expression that is produced. By contrasting the outcomes with both numerical solution and current semi-analytical technique, the accuracy of the suggested method is assessed. The consistency and dependability of this comparison are very high. Graphical representations are provided to further highlight the importance of several physical parameters, including thermal conductivity, radiation effects, and heat transmission coefficients. Radiation and convection factors elevate the temperature while the internal heat generation factor elevates the fin efficiency. These visuals help people understand how the system works in different situations. Also, the fins' thermal performance is measured by calculating the fin efficiency, which is also shown in a graph to support up the study's semi-analytical results.

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