Falkner-Skan Verification
Analytic-limit tests that confirm the Falkner-Skan solver is solving the governing equations correctly.
| Case | Description |
|---|---|
| Blasius limit | \(M_e \to 0\), adiabatic, \(\beta=0\) — recovers classical Blasius \(f''(0)\) |
| Crocco relation | \(\Pr=1\), adiabatic — pointwise \(\tau(\eta)\) matches Crocco's theorem |
| Hiemenz stagnation point | \(\beta=1\), \(M_e \to 0\) — recovers stagnation-point wall shear |
| Hartree table | \(\beta = 0, 0.2, 0.5, 1.0\), \(M_e \to 0\) — matches Hartree (1937) tabulated \(f''(0)\) |
| Separation point | \(\beta \approx -0.1988\) — \(f''(0) \to 0\) at Hartree separation parameter |