Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation
MetadataShow full item record
Two new analytical methods to solve nonlinear heat transfer equations are homotopy perturbation method and homotopy analysis method. Here, homotopy analysis method, which gives us a vast freedom to choose the answer type, is applied to solve nonlinear heat transfer differential equations and analytical results are compared with those of HPM and the numerical results. In this study, the procedure of HAM is applied to two cases in different ways according to the physics of the target problem. Comparing the two methods, our attention is focused on the results accuracy; and applicability of different methods in many cases with different limitation is studied. In the two examples of this paper, the effect of small parameter increaser on the accuracy of the analytical results of two methods also has been studied. The first differential equation is the modeling equation of a cooling lumped system with combined convection and radiation. The second one is the modeling equation of heat transfer with conduction in a slab of thermal dependent conductivity. © 2007 Elsevier B.V. All rights reserved.
Showing items related by title, author, creator and subject.
King, Andrew; Jagannatha, Deepak (2009)Effective techniques for cooling electronic devices are essential for dealing with increasing heat loads associated with higher density manufacturing processes. Many conventional cooling techniques are reaching the limits ...
Chemical reaction and Newtonian heating effects on steady convection flow of a micropolar fluid with second order slip at the boundaryKamran, M.; Wiwatanapataphee, Benchawan (2018)© 2018 Elsevier Masson SAS In this paper, asymptotic analysis of the chemical reaction and the Newtonian heating parameters is carried out. A mathematical model of a convective micropolar fluid flow over a permeable ...
Wangdhamkoom, Panitan (2007)This study presents the numerical analysis of steady laminar flow heat transfer in a horizontal rectangular duct with differential heating on the vertical walls. Three heating configurations: one uniform wall temperature ...