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An analytic solution of the stagnation point flow problem

language: **English **

received 15.10.2007, published 23.11.2007

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**ABSTRACT**

The Falkner-Skan equation models the laminar flow of an incompressible fluid for several physical situations. A specially interesting case is that of a flow with a stagnation point. This problem is solved analytically in the form of a power series with a finite radius of convergence. By modifying a Pade approximant corresponding to the power series a simple expression is obtained which describes the solution uniformly over the whole domain [0,inf).

**Keywords:** Falkner-Skan equation, stagnation point flow, Pade approximation, Wang transformation

8 pages

**Сitation:** W. A. Albarakati. An analytic solution of the stagnation point flow problem. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2007, 21.

**REFERENCES**

[1] I. G. Currie. Fundamental Mechanics of Fluids. McGrow-Hill, New York, 1974.

[2] L. Howarth. On the solution of the laminar boundary layer equations. Proc. Roy. Soc. London A 164 (1938) 547-579.

[3] D. R. Hartree. On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer, Proc. Camb. Philo. Soc. 33 (1937) 223-239.

[4] A. Asaithambi. A finite difference method for the Falkner-Skan equation. Appl. Math. Comput. 92 (1998) 135-141.

[5] Asai Asaithambi. Solution of the Falkner-Skan equation by recursive evaluation of Taylor coefficients. J. Comput. Appl. Math. 176 (2005) 203-214.

[6] H. Blasius. Grenzschichten in Flussigkeiten mit kleiner Reibung. Z. Math. u. Phys. 56 (1908) 1-37.

[7] S. J. Liao. An explicit, totally analytic approximate solution for Blasius' viscous flow problems. Int. J. Non-Linear Mech. 34 (1999) 759-778.

[8] S. Asghar. Private communication.

[9] L. Wang. A new algorithm for solving classical Blasius equation. Appl. Math. Comput. 157 (2004) 1-9.

[10] F. Ahmad and W. A. Albarakati. A uniformly valid analytic solution of the Blasius problem. Submitted for publication to Communications in Nonlinear Science and Numerical Simulation.

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