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HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet. (English) Zbl 1221.65282
Summary: We describe the stagnation point flow of a viscous fluid towards a stretching sheet. The complete analytical solution of the boundary layer equation has been obtained by homotopy analysis method (HAM). The solutions are compared with the available numerical results obtained by R. Nazar et al. [Int. J. Eng. Sci. 42, No. 11–12, 1241–1253 (2004; Zbl 1211.76042)] and a good agreement is found. The convergence region is also computed which shows the validity of the HAM solution.

MSC:
65M99Numerical methods for IVP of PDE
76D10Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids)
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