Unsteady heat transfer from a circular fin with nonlinear dissipation

Abstract

Abstract. Time-dependent heat flow in a longitudinal or circular fin with coupled convection and radiation transfer at its surface is presented.The problem is solved for two cases. First, the fin at ambient temperature throughout is exposed to a harmonic oscillation at its base for zero time. Second, the fin having a nonuniform temperature profile initially, receives a periodic temperature variation at the base. The appropiate sink temperatures are maintained constant. The solution is obtained by the application of the straight line method that reduces the descriptive partial differential equation to a system of first order ordinary differential equations. This system is then solved numerically and the results utilized for the calculation of the temperature field and subsequently the heat flux from the fin.

Analysis of periodic heat transfer through extended surfaces

“…Further he also studied the effect of various environmental parameters on the temperature variation. Campo [33] considered the longitudinal fin of rectangular profile in Fig. 2 and studied the unsteady state response of rectangular fin with simultaneous convection and radiation.…”