Coagulation Rate¶

Particula Index / Particula / Dynamics / Coagulation / Coagulation Rate

Auto-generated documentation for particula.dynamics.coagulation.coagulation_rate module.

get_coagulation_gain_rate_continuous¶

Show source in coagulation_rate.py:120

Calculate the coagulation gain rate, via the integration method.

Arguments¶

radius : The radius of the particles. concentration : The distribution of particles. kernel : The coagulation kernel.

Returns¶

The coagulation gain rate.

References¶

This equation necessitates the use of a for-loop due to the convoluted use of different radii at different stages. This is the most expensive step of all coagulation calculations. Using RectBivariateSpline accelerates this significantly.
Note, to estimate the kernel and distribution at (other_radius**3 - some_radius**3)*(⅓) we use interporlation techniques.
Seinfeld, J. H., & Pandis, S. (2016). Atmospheric chemistry and physics, Chapter 13 Equations 13.61

Signature¶

def get_coagulation_gain_rate_continuous(
    radius: Union[float, NDArray[np.float64]],
    concentration: Union[float, NDArray[np.float64]],
    kernel: NDArray[np.float64],
) -> Union[float, NDArray[np.float64]]: ...

get_coagulation_gain_rate_discrete¶

Show source in coagulation_rate.py:40

Calculate the coagulation gain rate, via the integration method, by converting to a continuous distribution.

Arguments¶

radius : The radius of the particles. concentration : The distribution of particles. kernel : The coagulation kernel.

Returns¶

The coagulation gain rate.

References¶

This equation necessitates the use of a for-loop due to the convoluted use of different radii at different stages. This is the most expensive step of all coagulation calculations. Using RectBivariateSpline accelerates this significantly.
Note, to estimate the kernel and distribution at (other_radius**3 - some_radius**3)*(⅓) we use interporlation techniques.
Seinfeld, J. H., & Pandis, S. (2016). Atmospheric chemistry and physics, Chapter 13 Equations 13.61

Signature¶

def get_coagulation_gain_rate_discrete(
    radius: Union[float, NDArray[np.float64]],
    concentration: Union[float, NDArray[np.float64]],
    kernel: NDArray[np.float64],
) -> Union[float, NDArray[np.float64]]: ...

get_coagulation_loss_rate_continuous¶

Show source in coagulation_rate.py:96

Calculate the coagulation loss rate, via the integration method.

Arguments¶

radius : The radius of the particles. concentration : The distribution of particles. kernel : The coagulation kernel.

Returns¶

The coagulation loss rate.

References¶

Seinfeld, J. H., & Pandis, S. N. (2016). Atmospheric chemistry and physics, Chapter 13 Equations 13.61

Signature¶

def get_coagulation_loss_rate_continuous(
    radius: Union[float, NDArray[np.float64]],
    concentration: Union[float, NDArray[np.float64]],
    kernel: NDArray[np.float64],
) -> Union[float, NDArray[np.float64]]: ...

get_coagulation_loss_rate_discrete¶

Show source in coagulation_rate.py:19

Calculate the coagulation loss rate, via the summation method.

Arguments¶

concentraiton : The distribution of particles. kernel : The coagulation kernel.

Returns¶

The coagulation loss rate.

References¶

Seinfeld, J. H., & Pandis, S. N. (2016). Atmospheric chemistry and physics, Chapter 13 Equations 13.61

Signature¶

def get_coagulation_loss_rate_discrete(
    concentration: Union[float, NDArray[np.float64]], kernel: NDArray[np.float64]
) -> Union[float, NDArray[np.float64]]: ...