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Numerical solution of the Falkner-Skan equation for various wedge angles

Housam Binous
Organization: National Institute of Applied Sciences and Technology
Department: Chemical Engineering Department
URL: http://pageperso.aol.fr/binoushousam/index.html
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Flow past a wedge is governed by the Falkner-Skan equation. This equation admits only numerical solution, which requires the application of the shooting technique. The notebook plots the velocity for various wedge angles. The result obtained is in agreement with figure 8-10 in page 352 of Deen's book (Analysis of Transport Phenomena, William M. Deen, OUP, 1998). The well-known Blasius equation appears as a particular case in this study. It represents the flow past a flat plate (parameter beta=0, or a wedge angle equal to zero). Planar stagnation flow is also treated by the notebook (parameter beta=1 or a wedge angle equal to Pi).

*Engineering > Chemical Engineering
*Engineering > Mechanical and Structural Engineering
*Science > Physics > Fluid Mechanics

flow past a wedge, Blasius equation, Falkner-Skan equation, shooting method, nonlinear ODE, velocity distribution, planar stagnation flow, flow past a flat plate

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Falkner_Skan.nb (162.7 KB) - Mathematica Notebook [for Mathematica 5.2]

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