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In this article, the differential transform method (DTM) is used to solve the nonlinear boundary value problems describing heat transfer in continuously moving fins undergoing convective-radiative heat dissipation. The thermal conductivity is variable and temperature dependent. The surface of the moving fin is assumed to be gray with a constant emissivity  ɛ . The flow in the surrounding medium provides a constant heat transfer coefficient  h  over the entire surface of the moving fins. The effects of some physical parameters such as the Peclet number,  Pe , thermal conductivity parameter,  β , convection-conduction parameter,  N   c  , radiation-conduction parameter,  N   r  , and dimensionless convection-radiation sink temperature,  θ   a  , on the temperature distribution are illustrated and explained.

Analysis of a Convective-Radiative Continuously Moving Fin with Temperature-Dependent Thermal Conductivity