A decomposition solution for fins with temperature dependent surface heat flux

Multiple Solutions of Nonlinear Boundary Value Problems of Fractional Order: A New Analytic Iterative Technique

“…Finned surfaces are widely used, for instance, for cooling electric transformers, the cylinders of aircraft engines, and other heat transfer equipment. The temperature distribution of a straight rectangular fin with a power-law temperature dependent surface heat flux can be determined by the solutions of a one-dimensional steady state heat conduction equation which, in dimensionless form, is given as follows [47,48]:…”

Variation of parameters method for optimizing annular fins with variable thermal properties

“…The thermal analysis of the annular rectangular profile fins with variable thermal properties is investigated by using the homotopy analysis method [3]. The Adomian decomposition method is used to analyze the thermal characteristics of a straight rectangular fin for all possible types of heat transfer [4]. In this study, the local heat transfer coefficient is assumed to vary with a power-law function of temperature.…”

Homotopy Perturbation Method to Solve Heat Conduction Equation

“…Most of them are immersed in the investigation of single boiling mode on an extended surface. Under these circumstances very recently, [Chang (2005)] applied standard Adomian decomposition method for all possible types of heat transfer modes to investigate a straight fin governed by a power-law-type temperature dependent heat transfer coefficient using 13 terms. [Liu (1995)] found that Adomian method could not always satisfy all its boundaries conditions leading to boundaries errors.…”