pydune.physics.turbulent_flow.andreotti2009.mu_prime#

mu_prime(eta, eta_0, Kappa=0.4)[source]#

derivative of the ratio \(U(z)/u_{*}\) following the law of the wall:

..:math:

\frac{1}{u_{*}}\frac{\textup{d}U(z)}{\textup{d}z} = \frac{1}{\kappa}\frac{1}{(z + z_{0}}.
Parameters:

  • eta (scalar, np.array) – height

  • eta_0 (scalar, np.array) – hydrodyamic roughness

  • Kappa (float, optional) – Von Karmàn constant (the default is 0.4).

Returns:

Array of the ratio defined above.

Return type:

scalar, np.array