ABSTRACT We consider heat transfer with convection and radiation effects on continuously moving fully wet spines of different profiles, namely cylindrical, convex parabolic, conical, and concave parabolic spines with varying degrees of curvature (). The Keller‐box method efficiently solves the highly nonlinear equation imposed with the adiabatic tip condition, and further validation of the result obtained is carried out with the help of the spectral quasilinearization method. The thermal profile is enhanced with the increase in the curvature parameter until a threshold value is reached (at = 0.66127), beyond which it starts decreasing. The volume‐adjusted base heat transfer rate drop with an increase in the Peclet number () is more significant in convex profiled fins than in concave profiled fins. We have identified the critical values of the curvature parameter () where maximum efficiency is attained, and its dependence on the relative velocity of the ambient fluid with the fin is reported ( = 2.15 at = 0, = 0.9216 at = 3, = 0.2598 at = 5). Against the established notions, we've shown that a convex parabolic profiled fin () can be more efficient than the conical () and concave parabolic () profiled ones with the onset of forced convection (). This paves the way for us to arrive at optimal efficiency for a fixed structure by controlling the forced convection, or equivalently, design the structure with a specific curvature for optimal efficiency at a fixed relative velocity. The exponential index, the convection, radiation, and wet parameters all negatively influence the fin efficiency.
Kumar et al. (Sun,) studied this question.