Exact and approximate analytic solutions of the nonlinear convective fin problem with temperature-dependent thermal conductivity

Abstract

ABSTRACTThis article shows that the well-known nonlinear boundary value problem of the differential equation for temperature distribution of convective straight fins with temperature-dependent thermal conductivity is exactly solvable in an implicit form. Furthermore, an exact solution in an explicit form is derived. Also, an accurate analytic solution (series solution) is obtained by a new variation of the Adomian decomposition method.