pydune.physics.mu_prime

mu_prime(eta, eta_0, Kappa=0.4)

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

Examples using pydune.physics.mu_prime

Properties of a turbulent flow on a sinusoidal bottom

Properties of a turbulent flow on a sinusoidal bottom