Transient natural convective conjugate cooling mechanism in vertical fins

An analysis is presented of the time-periodic conjugate free convective heat transfer from a long vertical, thermally thin fin heated from above to the surrounding fluid. The temperature at the top of the fin oscillates with a given frequency about a mean value that, is higher than the temperature of the ambient fluid. The solution for very long fins depends on four nondimensional parameters: the Prandtl number of the flui