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Flow Past a Wedge (Falkner/Skan)
The inviscid solution is of the form U (x) = Cxm. The governing equation for the self-similar solution for the stream function reads
F"’ + FF” + в(1 – F’2) = 0 (8.85)
where в = mm is the wedge angle, and with boundary conditions
• at n = 0: F = F’ = 0,
• as n F’ ^ 1.
For more on this, we refer to Hartee numerical analysis and Stewartson analysis.
Special cases:
• Flat plate: m = 0, в = 0.
• Stagnation point: m = 1, в = 1.
When в < 0 (m < 0), separation occurs.
