A new approximate iteration solution of Blasius equation. (English) Zbl 0928.34012

Summary: An approximate analytic solution to the Blasius equation is obtained by a parameter iteration method. The comparison with Howarth’s numerical solution shows that the accuracy of the proposed method is higher than other approximate methods. Further, the author provides a numerical iteration scheme which is simple, efficient and practical.


34A45 Theoretical approximation of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
Full Text: DOI


[1] Blasius, H., Grenzschichten in flussigkeiten mit kleiner reibung, Z. Math. u. Phys., 56, 1 (1908) · JFM 39.0803.02
[2] Liao, S. J., A kind of approximate solution technique which does not depend upon small parameters: (II) an application in fluid mechanics, Int. J. Non-Linear Mechanics, 32, 5, 815-822 (1997) · Zbl 1031.76542
[3] Liao, S. J., An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate, Communications in Nonlinear Science & Numerical Simulation, 3, 2, 53-57 (1998) · Zbl 0922.34012
[4] He, J. H., Approximate analytical solution of Blasius equation, Communications in Nonlinear Science & Numerical Simulation, 3, 4, 260-263 (1998) · Zbl 0918.34016
[5] Howarth, L., On the solution of the laminar boundary layer equations, (Proc. Roy. Soc. London (1938)), A164 · JFM 64.1452.01
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