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The three-dimensional flow past a stretching sheet and the homotopy perturbation method. (English) Zbl 1138.76029
Summary: We obtain an approximate analytical solution for steady laminar three-dimensional flow of an incompressible viscous fluid past a stretching sheet using the homotopy perturbation method proposed by J.-H. He [Comput. Methods Appl. Mech. Eng. 178, No. 3–4, 257–262 (1999; Zbl 0956.70017)]. The flow is governed by a boundary value problem (BVP) consisting of a pair of nonlinear differential equations. The solution is simple yet highly accurate and compares favorably with exact solutions obtained early in the literature. The methodology presented in the paper is useful for solving BVPs consisting of more than one differential equation.

76D05Navier-Stokes equations (fluid dynamics)
76M45Asymptotic methods, singular perturbations (fluid mechanics)
76M55Dimensional analysis and similarity (fluid mechanics)