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

Liao, Shi-Jun

Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 53-57 (1998).

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

Keywords:

Blasius’ viscous flow; explicit analytic solution; homotopy analysis method

References:

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[4]	Liao, S.J., On the general boundary element method, Engineering analysis with boundary elements, 21, 1, 39-51, (1998) · Zbl 0940.65141
[5]	Blasius, H., Z. math. phys., 56, 1-37, (1908)