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On series solution for generalized Falkner–Skan flow of a FENE‐P model
Authors:S. Abbasbandy  T. Hayat  K. Maqbool
Affiliation:1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran;2. Department of Mathematics, Quaid‐i‐Azam University, Islamabad 44000, Pakistan;3. Permanent address: Department of Mathematics, Imam Khomeini International University, Ghazvin 34149‐16818, Iran.
Abstract:This paper deals with the viscoelastic boundary layer flow past a plate. Constitutive assumptions of the FENE‐P model are taken into account. The pressure gradient is taken as non‐zero. The series solution of the non‐linear problem modelled in (Appl. Math. Lett. 2007; 20 :1211–1215) is developed by a homotopy analysis method (HAM). Numerical solution of the skin friction coefficient is also computed. Further a comparison between the numerical and HAM solutions is provided. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:Falkner–  Skan equation  boundary layer  FENE‐P fluid  homotopy analysis method (HAM)  Crocco's transformation  Adomian's method
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