Source code for appliedchemlabwork_tayra.A3._calc_viscosity
"""Calculates the viscosities."""
import numpy as np
import numpy.typing as npt
from typing import Any
__all__ = [
"calc_relative_viscosity",
"calc_specific_viscosity",
"calc_inherent_viscosity",
"calc_reduced_viscosity",
]
[docs]
def calc_relative_viscosity(
t: npt.NDArray[np.floating[Any]],
t_0: float | np.floating[Any]
) -> npt.NDArray[np.floating[Any]]:
"""Calculates the relative viscosities.
Parameters
----------
t : NDArray[floating[Any]]
The time of the flows.
t_0 : Any floating number
The time of the flows.
Returns
-------
viscosity : NDArray[floating[Any]]
The viscpsities.
"""
return t / t_0
[docs]
def calc_specific_viscosity(
t: npt.NDArray[np.floating[Any]],
t_0: float | np.floating[Any]
) -> npt.NDArray[np.floating[Any]]:
"""Calculates the specific viscosity.
Parameters
----------
t : NDArray[floating[Any]]
The times elapsed while the solution flew down.
t_0 : floating[Any] | float
The time of the flow of the solvent.
Returns
-------
specific : NDArray[Floating[Any]]
The specific viscosities.
"""
return (t - t_0) / t_0
[docs]
def calc_inherent_viscosity(
t: npt.NDArray[np.floating[Any]],
c: npt.NDArray[np.floating[Any]],
t_0: float | np.floating[Any]
) -> npt.NDArray[np.floating[Any]]:
"""Returns the inherent viscosity.
Parameters
----------
t : NDArray[floating[Any]]
t_0 : floating[Any]
Please see :func:`calc_relative_viscosity`.
c : NDArray[floating[Any]]
The concentrations of the solution.
Returns
-------
viscosity : NDArray[floating[Any]]
The viscosity.
See Also
--------
calc_relative_viscosity : Detailed descriptions.
Notes
-----
This function returns the values of inherent viscosities.
.. math:: \\ln \\frac{\\eta_{\\mathrm{sp}}}{c}
"""
return np.log(calc_relative_viscosity(t, t_0)) / c
[docs]
def calc_reduced_viscosity(
t: npt.NDArray[np.floating[Any]],
c: npt.NDArray[np.floating[Any]],
t_0: np.floating[Any] | float
) -> npt.NDArray[np.floating[Any]]:
"""Calculates the reduced viscosity.
Parameters
----------
t : NDArray[floating[Any]]
t_0 : floating[Any]
Please see ``calc_specific_viscosity``.
c : NDArray[floating[Any]]
The concentrations.
Returns
-------
viscosity : NDArray[floating[Any]]
The viscosities.
See Also
--------
calc_specific_viscosity : Detailed descriptions.
"""
return calc_specific_viscosity(t, t_0) / c