Accuracy of VIM, HPM and ADM in Solving Nonlinear Equations for the Steady Three-Dimensional Flow of a Walter’s B Fluid in Vertical Channel
作者： Mehdi Fakour , Davood Domiri Ganji , Azadeh Vahabzadeh , Sayyid Habibollah Hashemi Kachapi
关键词: Inertia 、 Heat transfer 、 Adomian decomposition method 、 Mathematical analysis 、 Nonlinear system 、 Mathematics 、 Boundary value problem 、 Flow (mathematics) 、 Ordinary differential equation 、 Viscoelasticity
摘要: In this paper, the steady three-dimensional flow of a Walter's B fluid in vertical channel is investigated. It assumed that injected into passage through one side channel. The combined effects viscoelasticity and inertia are considered. By using appropriate similarity transformations for velocity components temperature, basic equations governing heat transfer reduced to set ordinary differential equations. These solved approximately, subject relevant boundary conditions, with numerical technique. present study, three powerful analytical methods Variational iteration method (VIM), Homotopy perturbation (HPM) Adomian decomposition (ADM) introduced overcome shortcoming. Then, VIM, HPM ADM used solve nonlinear fluids. useful practical solving equation Comparison results obtained by all exact solutions reveals tremendously effective. doi: 10.14456/WJST.2014.12
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