Abstract

In this paper, 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 (2D) laminar viscous flow over a semi-infinite flat plate. This analytic solution is valid in the whole region having physical meanings. To our knowledge, it is the first time in history that such a kind of explicit, totally analytic solution is given. This fact well verifies the great potential and validity of the Homotopy Analysis Method as a kind of powerful analytic tool for nonlinear problems in science and engineering.

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