Annular fin is a particular mechanical setup for heat transfer that varies radially and frequently utilize in applied thermal engineering. Addition of annular fin to working apparatus enhance the surface area in contact with surrounding fluid. Other potential areas of fin installation are radiators, power plant heat exchangers and also it plays significant role in sustainable energy technologies. The major objective of this research is to introduce an efficient annular fin energy model influenced by thermal radiation, magnetic forces, coefficient of thermal conductivity, heating source with addition of modified Tiwari–Das model. Then, numerical treatment performed to acquire the desired efficiency. From the results, it is scrutinized that the fin efficiency significantly improved by strengthening the physical strength of\documentclass[12pt]{minimal}
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				\begin{document}$${\alpha }_{1}, {\alpha }_{2}$$\end{document}α1,α2and\documentclass[12pt]{minimal}
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				\begin{document}$${\gamma }_{1}$$\end{document}γ1and the use of ternary nanofluid make it more efficient. Addition of heating source\documentclass[12pt]{minimal}
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				\begin{document}$${Q}_{1}$$\end{document}Q1make the fin more efficient and radiative number is better to cool it. The role of ternary nanofluid observed dominant throughout the analysis and the results validated with existing data.