flow_profile.f90 File Reference

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Data Types
interface	flow_profile::blasius_profile
	Abstract interface for computing a Blasius flow profile. More...

Modules
module	flow_profile
	Defines a flow profile.

Functions/Subroutines
real(kind=rp) function, public	flow_profile::blasius_linear (y, delta, u)
	Linear approximate Blasius profile \( \frac{u}{U} = \frac{y}{\delta} \).
real(kind=rp) function, public	flow_profile::blasius_quadratic (y, delta, u)
	Quadratic approximate Blasius Profile \( \frac{u}{U} = 2 \frac{y}{\delta} - (\frac{y}{\delta})^2 \).
real(kind=rp) function, public	flow_profile::blasius_cubic (y, delta, u)
	Cubic approximate Blasius Profile \( \frac{u}{U} = 3/2 \frac{y}{\delta} - 1/2(\frac{y}{\delta})^3 \).
real(kind=rp) function, public	flow_profile::blasius_quartic (y, delta, u)
	Quartic approximate Blasius Profile \( \frac{u}{U} = 2 \frac{y}{\delta} - 2(\frac{y}{\delta})^3 + (\frac{y}{\delta})^4 \).
real(kind=rp) function, public	flow_profile::blasius_sin (y, delta, u)
	Sinusoidal approximate Blasius Profile \( \frac{u}{U} = \sin(\frac{\pi}{2}\frac{y}{\delta}) \).
real(kind=rp) function, public	flow_profile::blasius_tanh (y, delta, u)
	Hyperbolic tangent approximate Blasius Profile from O. Savas (2012) \( \frac{u}{U} = (\tanh((5.075 a \frac{y}{\delta})^n))^{1/n} \) where \( \delta \) is the 99 percent thickness and the coefficients are \( a = 0.33245 \) and \( n = 5/3 \) Reference: https://doi.org/10.1016/j.cnsns.2012.02.002.