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Series solutions of unsteady boundary-layer flow of a micropolar fluid near the forward stagnation point of a plane surface. (English) Zbl 1096.76004
Summary: The unsteady boundary-layer flow of a micropolar fluid started impulsively from rest near the forward stagnation point of a two-dimensional plane surface is studied by means of an analytic approach, namely homotopy analysis method. This approach gives accurate approximations uniformly valid for all dimensionless time. Besides, analytic results are given for the reduced velocity and microrotation profiles, as well as for the skin friction coefficient when the material parameter $$K$$ takes the values $$K=0$$ (Newtonian fluid), 1, 3, 5 and 10. To the best of our knowledge, such a kind of series solutions has been never reported.

##### MSC:
 76A05 Non-Newtonian fluids 76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
##### Keywords:
homotopy analysis method; microrotation; skin friction
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