Mass Transfer¶

Particula Index / Particula / Dynamics / Condensation / Mass Transfer

Auto-generated documentation for particula.dynamics.condensation.mass_transfer module.

calculate_mass_transfer¶

Helper function that routes the mass transfer calculation to either the single-species or multi-species calculation functions based on the input dimensions of gas_mass.

Arguments¶

mass_rate - The rate of mass transfer per particle (kg/s).
time_step - The time step for the mass transfer calculation (seconds).
gas_mass - The available mass of gas species (kg).
particle_mass - The mass of each particle (kg).
particle_concentration - The concentration of particles (number/m^3).

Returns¶

The amount of mass transferred, accounting for gas and particle limitations.

Signature¶

def calculate_mass_transfer(
    mass_rate: NDArray[np.float64],
    time_step: float,
    gas_mass: NDArray[np.float64],
    particle_mass: NDArray[np.float64],
    particle_concentration: NDArray[np.float64],
) -> NDArray[np.float64]: ...

calculate_mass_transfer_multiple_species¶

Show source in mass_transfer.py:225

Calculate mass transfer for multiple gas species.

Arguments¶

mass_rate - The rate of mass transfer per particle for each gas species (kg/s).
time_step - The time step for the mass transfer calculation (seconds).
gas_mass - The available mass of each gas species (kg).
particle_mass - The mass of each particle for each gas species (kg).
particle_concentration - The concentration of particles for each gas species (number/m^3).

Returns¶

The amount of mass transferred for multiple gas species.

Signature¶

def calculate_mass_transfer_multiple_species(
    mass_rate: NDArray[np.float64],
    time_step: float,
    gas_mass: NDArray[np.float64],
    particle_mass: NDArray[np.float64],
    particle_concentration: NDArray[np.float64],
) -> NDArray[np.float64]: ...

calculate_mass_transfer_single_species¶

Show source in mass_transfer.py:181

Calculate mass transfer for a single gas species (m=1).

Arguments¶

mass_rate - The rate of mass transfer per particle (number*kg/s).
time_step - The time step for the mass transfer calculation (seconds).
gas_mass - The available mass of gas species (kg).
particle_mass - The mass of each particle (kg).
particle_concentration - The concentration of particles (number/m^3).

Returns¶

The amount of mass transferred for a single gas species.

Signature¶

def calculate_mass_transfer_single_species(
    mass_rate: NDArray[np.float64],
    time_step: float,
    gas_mass: NDArray[np.float64],
    particle_mass: NDArray[np.float64],
    particle_concentration: NDArray[np.float64],
) -> NDArray[np.float64]: ...

first_order_mass_transport_k¶

Show source in mass_transfer.py:46

First-order mass transport coefficient per particle.

Calculate the first-order mass transport coefficient, K, for a given radius diffusion coefficient, and vapor transition correction factor. For a single particle.

Arguments¶

radius - The radius of the particle [m].
diffusion_coefficient - The diffusion coefficient of the vapor [m^2/s], default to air.
vapor_transition - The vapor transition correction factor. [unitless]

Returns¶

Union[float, NDArray[np.float64]] - The first-order mass transport coefficient per particle (m^3/s).

References¶

Aerosol Modeling: Chapter 2, Equation 2.49 (excluding number)
Mass Diffusivity: Wikipedia

Signature¶

def first_order_mass_transport_k(
    radius: Union[float, NDArray[np.float64]],
    vapor_transition: Union[float, NDArray[np.float64]],
    diffusion_coefficient: Union[float, NDArray[np.float64]] = 2e-05,
) -> Union[float, NDArray[np.float64]]: ...

mass_transfer_rate¶

Show source in mass_transfer.py:83

Calculate the mass transfer rate for a particle.

Calculate the mass transfer rate based on the difference in partial pressure and the first-order mass transport coefficient.

Arguments¶

pressure_delta - The difference in partial pressure between the gas phase and the particle phase.
first_order_mass_transport - The first-order mass transport coefficient per particle.
temperature - The temperature at which the mass transfer rate is to be calculated.

Returns¶

The mass transfer rate for the particle [kg/s].

References¶

Aerosol Modeling Chapter 2, Equation 2.41 (excluding particle number)
Seinfeld and Pandis: "Atmospheric Chemistry and Physics", Equation 13.3

Signature¶

def mass_transfer_rate(
    pressure_delta: Union[float, NDArray[np.float64]],
    first_order_mass_transport: Union[float, NDArray[np.float64]],
    temperature: Union[float, NDArray[np.float64]],
    molar_mass: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]: ...

radius_transfer_rate¶

Show source in mass_transfer.py:117

Convert mass rate to radius transfer rate.

Convert the mass rate to a radius transfer rate based on the volume of the particle.

Arguments¶

mass_rate - The mass transfer rate for the particle [kg/s].
radius - The radius of the particle [m].
density - The density of the particle [kg/m^3].

Returns¶

The radius growth rate for the particle [m/s].

Signature¶

def radius_transfer_rate(
    mass_rate: Union[float, NDArray[np.float64]],
    radius: Union[float, NDArray[np.float64]],
    density: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]: ...