Numerical Solution of the Falkner-Skan Equation for Various Wedge Angles
Numerical Solution of the Falkner-Skan Equation for Various Wedge Angles
The flow past a wedge is governed by the Falkner-Skan equation:
(3)
f
(2)
f
2
(f')
f(0)=f'(0)=0
f'(∞)=1
This equation admits only a numerical solution, which requires the application of the shooting technique.
This Demonstration plots the velocity for various wedge angles. The well-known Blasius equation appears as a particular case in this study; it represents the flow past a flat plate (when the wedge angle is zero). Planar stagnation flow is also treated by setting the wedge angle to .
β
β
π