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Homotopy Solution for Stagnation-Point Flow
Authors:THayat  Ansa Rafique  MYMalik  SAShehzad  SObaidat
Institution:1.Department of Mathematics, Quaid-i-Azam University 45320, Islamabad  44000, Pakistan;2.Department of Mathematics, College of Sciences, King Saud University , P.O. Box 2455, Riyadh 1145, Saudi Arabia
Abstract:This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid.An incompressible second grade fluid impinges on the wall either orthogonally or obliquely.The resulting nonlinear problems have been solved by a homotopy analysis method(HAM).Convergence of the series solutions is checked.Such solutions are compared with the numerical solutions presented in a study Int.J.Non-Linear Mech.43(2008) 941].Excellent agreement is noted between the numerical and series solutions.
Keywords:Homotopy solution  second-grade fluid  nonlinear analysis
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