Wall Loss Coefficient¶

Particula Index / Particula / Dynamics / Properties / Wall Loss Coefficient

Auto-generated documentation for particula.dynamics.properties.wall_loss_coefficient module.

rectangle_wall_loss_coefficient¶

Show source in wall_loss_coefficient.py:65

Calculate the wall loss coefficient, β₀, for a rectangular chamber.

This function computes the wall loss coefficient for a rectangular-prism chamber, considering the wall eddy diffusivity, particle diffusion coefficient, and terminal settling velocity. The chamber dimensions (length, width, and height) are used to account for the geometry's impact on particle loss.

Arguments¶

wall_eddy_diffusivity - Rate of wall diffusivity parameter in units of inverse seconds (s^-1).
diffusion_coefficient - The particle diffusion coefficient in units of square meters per second (m²/s).
settling_velocity - The terminal settling velocity of the particles, in units of meters per second (m/s).
chamber_dimensions - A tuple of three floats representing the length (L), width (W), and height (H) of the rectangular chamber, in units of meters (m).

Returns¶

The calculated wall loss rate (β₀) for the rectangular chamber.

References¶

Crump, J. G., & Seinfeld, J. H. (1981). TURBULENT DEPOSITION AND GRAVITATIONAL SEDIMENTATION OF AN AEROSOL IN A VESSEL OF ARBITRARY SHAPE. In J Aerosol Sct (Vol. 12, Issue 5). https://doi.org/10.1016/0021-8502(81)90036-7

Signature¶

def rectangle_wall_loss_coefficient(
    wall_eddy_diffusivity: Union[float, NDArray[np.float64]],
    diffusion_coefficient: Union[float, NDArray[np.float64]],
    settling_velocity: Union[float, NDArray[np.float64]],
    chamber_dimensions: Tuple[float, float, float],
) -> Union[float, NDArray[np.float64]]: ...

rectangle_wall_loss_coefficient_via_system_state¶

Show source in wall_loss_coefficient.py:177

Calculate the wall loss coefficient for a rectangular chamber based on the system state.

This function computes the wall loss coefficient for a rectangular chamber using the system's physical state, including the wall eddy diffusivity, particle properties (radius, density), and environmental conditions (temperature, pressure). The chamber dimensions (length, width, height) are also considered.

Arguments¶

wall_eddy_diffusivity - The rate of wall eddy diffusivity in inverse seconds (s⁻¹).
particle_radius - The radius of the particle in meters (m).
particle_density - The density of the particle in kilograms per cubic meter (kg/m³).
temperature - The temperature of the system in Kelvin (K).
pressure - The pressure of the system in Pascals (Pa).
chamber_dimensions - A tuple containing the length, width, and height of the rectangular chamber in meters (m).

Returns¶

The calculated wall loss coefficient for the rectangular chamber.

References¶

Crump, J. G., & Seinfeld, J. H. (1981). TURBULENT DEPOSITION AND GRAVITATIONAL SEDIMENTATION OF AN AEROSOL IN A VESSEL OF ARBITRARY SHAPE. In J Aerosol Sct (Vol. 12, Issue 5). https://doi.org/10.1016/0021-8502(81)90036-7

Signature¶

def rectangle_wall_loss_coefficient_via_system_state(
    wall_eddy_diffusivity: float,
    particle_radius: Union[float, NDArray[np.float64]],
    particle_density: Union[float, NDArray[np.float64]],
    temperature: float,
    pressure: float,
    chamber_dimensions: Tuple[float, float, float],
) -> Union[float, NDArray[np.float64]]: ...

spherical_wall_loss_coefficient¶

Show source in wall_loss_coefficient.py:28

Calculate the wall loss coefficient for a spherical chamber approximation.

Arguments¶

wall_eddy_diffusivity - Rate of the wall eddy diffusivity.
diffusion_coefficient - Diffusion coefficient of the particle.
settling_velocity - Settling velocity of the particle.
chamber_radius - Radius of the chamber.

Returns¶

The calculated wall loss rate for a spherical chamber.

References¶

Crump, J. G., Flagan, R. C., & Seinfeld, J. H. (1982). Particle wall loss rates in vessels. Aerosol Science and Technology, 2(3), 303-309. https://doi.org/10.1080/02786828308958636

Signature¶

def spherical_wall_loss_coefficient(
    wall_eddy_diffusivity: Union[float, NDArray[np.float64]],
    diffusion_coefficient: Union[float, NDArray[np.float64]],
    settling_velocity: Union[float, NDArray[np.float64]],
    chamber_radius: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]: ...

spherical_wall_loss_coefficient_via_system_state¶

Show source in wall_loss_coefficient.py:120

Calculate the wall loss coefficient for a spherical chamber based on the system state.

This function computes the wall loss coefficient for a spherical chamber using the system's physical state, including the wall eddy diffusivity, particle properties (radius, density), and environmental conditions (temperature, pressure). The chamber radius is also taken into account.

Arguments¶

wall_eddy_diffusivity - The rate of wall eddy diffusivity in inverse seconds (s⁻¹).
particle_radius - The radius of the particle in meters (m).
particle_density - The density of the particle in kilograms per cubic meter (kg/m³).
temperature - The temperature of the system in Kelvin (K).
pressure - The pressure of the system in Pascals (Pa).
chamber_radius - The radius of the spherical chamber in meters (m).

Returns¶

The calculated wall loss coefficient for the spherical chamber.

Signature¶

def spherical_wall_loss_coefficient_via_system_state(
    wall_eddy_diffusivity: float,
    particle_radius: Union[float, NDArray[np.float64]],
    particle_density: Union[float, NDArray[np.float64]],
    temperature: float,
    pressure: float,
    chamber_radius: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]: ...