Application of the differential transformation method to the solutions of Falkner-Skan wedge flow. (English) Zbl 1064.76034

Kuo, B.-L.

Acta Mech. 164, No. 3-4, 161-174 (2003).

Summary: This paper adopts the differential transformation method to investigate the velocity and shear stress fields associated with the Falkner-Skan boundary-layer problem. A group of transformations is used to reduce the boundary value problem to a pair of initial value problems, which are then solved by means of the differential transformation method. The proposed method yields closed series solutions of the boundary layer equations, which can then be calculated numerically. Numerical results for the dimensionless velocity and the shear stress profiles of the wedge flow are presented graphically for different values of Falkner-Skan parameter \(\beta\). It is found that the current results are in good agreement with those provided by other numerical methods. Therefore, the proposed method is proven to be an effective scheme for the solution of nonlinear boundary-layer problems.

MSC:

76D10	Boundary-layer theory, separation and reattachment, higher-order effects
76M60	Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics

Keywords:

boundary value problem; series solutions; boundary layer equations