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An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate. (English) Zbl 0922.34012

Summary: A new kind of analytic technique for nonlinear problems, namely the homotopy analysis method, is applied to give an explicit, totally analytic solution of the Blasius’ flow, i.e. the two-dimensional laminar viscous flow over a semi-infinite flat plate. This analytic solution is valid in the whole region having physical meaning.

MSC:

34B05 Linear boundary value problems for ordinary differential equations
76M35 Stochastic analysis applied to problems in fluid mechanics
76D33 Waves for incompressible viscous fluids
35Q35 PDEs in connection with fluid mechanics
34A05 Explicit solutions, first integrals of ordinary differential equations
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References:

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[5] Blasius, H., Z. math. phys., 56, 1-37, (1908)
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