Boundary Layer Thickness Calculator

Calculates the displacement, momentum, energy and 99% boundary layer thicknesses for compressible and incompressible flow.

THICKNESS(Y,U,R): Calculates the different boundary layer thicknessesfor a rake of coordiantes Y, velocities U, and densities R (optional)in COLUMN form. The integral thicknesses from Schlichting are derivedfrom trapezoidal integrations. The 99% thicknesses are robust metricsfor the standard 'delta99'. Three BL profiles are provided as sample.

INTEGRAL, INCOMPRESSIBLE:

(1) Displacement (incompressible)

(2) Momentum (incompressible)

(3) Energy (incompressible)

INTEGRAL, COMPRESSIBLE

(4) Displacement (compressible: ONLY when R is passed)

(5) Momentum (compressible: ONLY when R is passed)

(6) Energy (compressible: ONLY when R is passed)

GEOMETRIC, ROBUST DELTA 99

(7) 99% variance thickness (4 for incompressible)

(8) 99% asymptotic thickness (5 for incompressible)

If zero outputs are passed, a plot is generated with all thicknesses.If one output is passed, all thicknesses are returned in vector form. If multiple outputs are passed, the indexed thicknesses are returned.

thickness;
t = thickness(Y,U);
t = thickness(Y,U,R);
t = thickness([Y,U,R]);
[t1,...,tn] = thickness(...);

Miguel Moreno, August 2024