Numerical study on rectangular-convex-triangular profiles with all variable thermal properties

Abstract

We present solutions of the nonlinear mathematical models for rectangular, convex and triangular fins with variable thermal conductivity, heat transfer coefficient, surface emissivity and heat generation. The model for rectangular fins is a nonlinear and non-singular value energy equation. The convex and triangular fins are described by a nonlinear and singular value energy equation. The boiling regimes, such as film boiling, nucleate boiling and laminar natural convection are governed by the value of the heat transfer coefficient power index. The non-singular and singular energy balance equation corresponding to rectangular and non-rectangular profiles are solved separately using the classical Adomian decomposition method and the modified Adomian decomposition method respectively. The results are validated by solving the equations independently using the spectral quasi-linearization method. The effects of various thermo physical parameters such as the thermal conductivity parameter, environmental temperature and heat generation parameter on the temperature distribution is analyzed.