Approximate Solution for Convective Fins With Variable Thermal Conductivity

Thermal Analysis of Conductive-Convective-Radiative Heat Exchangers With Temperature Dependent Thermal Conductivity

“…The behavior of approximate solutions is discussed with trained neurons from [-1,1]. Results obtained by the proposed method are compared with exact solutions, and approximate solution by integration method [71], decomposition method [11], Galerkin method [70] and simplex search method [76].…”

“…During the process, the fin is at rest while heat flows in a steady state. Over the entire surface of the fin, convection heat transfer coefficient N c is considered to be uniform while thermal conductivity k(T ) depends on temperature, which is defined as [70]…”

Parametric analysis and optimization of convective fin with variable thermal conductivity using semi-analytical solution

“…Unal [8] announced a solution based on series of studies on an extended surface of non-uniform heat transfer coefficient with limited number of cases.Later, Meyers [9] analyzed on the steady periodic heat conduction in a semi-infinite medium and extended it by the method of complex combination. Muzzio [10] explored approximate solutions for the temperature dependent thermal conductivity fin problem based on the Galerkin method, which involves selection of suitable basis function. The parametric performance analysis and optimization of the fin design parameter are being major voids in the past research progress.…”

Variable Thermal Conductivity and Perforation Effects on a Heat-Conducting Plate

“…Representative works are those of Hung and Appl [10], Aziz and Hug [11], Krane [12], Muzzio [13], Aziz and Benzies [14], and Aziz and Na [15], who have extensively applied regular perturbation techniques to clarify the role of variable thermal conductivity on the performance of longitudinal fins. Chiu and Chen [16] used a decomposition method to evaluate the efficiency and the optimal length of a convective fin with variable thermal conductivity.…”