A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate

@inproceedings{LiaoAUV,
  title={A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate},
  author={S.-J. Liao}
}
We apply a new kind of analytic technique, namely the homotopy analysis method (HAM), to give an explicit, totally analytic, uniformly valid solution of the twodimensional laminar viscous flow over a semi-infinite flat plate governed by f′′′(η) + αf(η)f′′(η) + β[1 − f′2(η)] = 0 under the boundary conditions f(0) = f′(0) = 0, f′(+∞) = 1. This analytic solution is uniformly valid in the whole region 0 6 η < +∞. For Blasius’ (1908) flow (α = 1/2, β = 0), this solution converges to Howarth’s (1938… CONTINUE READING
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