Differential Transformation Method for solving Falkner-Skan equation to Boundary Layer Flow

Al-Rafidain university college 01/2012; 30.


n this paper we apply the differential transformation method to solve the third –order boundary value problems characterized by the Falkner-Skan equation over a semi-infinite domain.
The Falkner-Skan equation has two coefficients. Four types of flow in the boundary layer along a surface of revolution near the stagnation point are studied by giving different specific values for coefficients of Falkner-Skan equation. These types of flow are called Blasius flow, Homann axisymmetric stagnation flow, Hiemenz flow, and Homann steady flow.
The effectiveness of the method is illustrated by applying it successfully to various instances of the Falkner-Skan. The differential transformation method show good agreements of results for solving nonlinear BVPs.

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