ABSTRACT Numerous applications, such as heat sinks, gas turbine blades, and various electronic components, use spine fins for heat transmission, as they transfer substantially more energy than straight fins for the same surface area. This study looks at the thermal properties of porous spine fins in totally wet condition, with an emphasis on the repercussion of temperature‐sensitive thermal conductivity and a nonlinear internal heat source. A correlative analysis of cylindrical, conical, and convex parabolic spines is initiated by altering the radius along the length of the fin. Also, several conventional methods often face difficulties in providing precise solutions when addressing highly nonlinear problems. The study tackles this issue by leveraging the Hermite wavelet collocation technique. The primary factors affecting the energy field and efficiency of the fin are visually examined and physically interpreted. The findings highlight that an increase in generation number, thermal conductivity parameter, and Peclet number enhances the thermal dispersion of the fin. Conversely, an increase in the wet porous parameter, convection, and radiation parameter reduces the thermal efficiency of the fin. Among the fin structures considered, the conical fin achieves the highest efficiency. This study is particularly beneficial in the field of microelectronics, especially in the development of various micro‐pin‐fin designs.
Manvitha et al. (Wed,) studied this question.