Generalized Solution of One-Dimensional Radial Fin by Frobenius Method with Application on Finned Electric Motor

Abstract

An industrial application of extended surfaces occurs in electric motors, which are critical in the industry because they are used in machines of all types. To specify physical and thermal characteristics applied to extended surfaces, generalized one-dimensional models are used in this study. To compare the one-dimensional radial fin model, "Frobenius Method," with the mathematical model already created and validated, named "Improved One-dimensional Classic Radial Fin" in the literature, results for temperature, heat transfer rate, efficacy, and efficiency are produced. The findings of the two-dimensional model for the radial fin were numerically compared to the results of the generalized one-dimensional models for effectiveness and efficiency. The finned electric motor provides numerical and graphical effects with a 5.82 aspect ratio. When the Reynolds number range and aspect ratio value are considered, the equivalence of one-dimensional models is obvious.