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Settling Velocity

Particula Index / Particula / Particles / Properties / Settling Velocity

Auto-generated documentation for particula.particles.properties.settling_velocity module.

get_particle_settling_velocity_via_inertia

Show source in settling_velocity.py:59

Calculate the gravitational settling velocity from the particle inertia time.

The settling velocity (v_s) is given by:

v_s = g * τ_p * C_c

  • v_s : Settling velocity [m/s]
  • g (gravitational_acceleration) : Gravitational acceleration [m/s²]
  • τ_p (particle_inertia_time) : Particle inertia time [s]
  • C_c (slip_correction_factor) : Cunningham slip correction factor [-]

Arguments

- particle_inertia_time : Particle inertia time [s]
- gravitational_acceleration : Gravitational acceleration [m/s²]
- slip_correction_factor : Cunningham slip correction factor [-]

Returns

- Particle settling velocity [m/s]

Signature

@validate_inputs(
    {
        "particle_inertia_time": "positive",
        "gravitational_acceleration": "positive",
        "slip_correction_factor": "positive",
    }
)
def get_particle_settling_velocity_via_inertia(
    particle_inertia_time: Union[float, NDArray[np.float64]],
    gravitational_acceleration: float,
    slip_correction_factor: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]: ...

particle_settling_velocity

Show source in settling_velocity.py:23

Calculate the settling velocity of a particle in a fluid.

Arguments

  • particle_radius - The radius of the particle [m].
  • particle_density - The density of the particle [kg/m³].
  • slip_correction_factor - The slip correction factor to account for non-continuum effects [dimensionless].
  • gravitational_acceleration - The gravitational acceleration. Defaults to standard gravity [9.80665 m/s²].
  • dynamic_viscosity - The dynamic viscosity of the fluid [Pa*s].

Returns

The settling velocity of the particle in the fluid [m/s].

Signature

def particle_settling_velocity(
    particle_radius: Union[float, NDArray[np.float64]],
    particle_density: Union[float, NDArray[np.float64]],
    slip_correction_factor: Union[float, NDArray[np.float64]],
    dynamic_viscosity: float,
    gravitational_acceleration: float = STANDARD_GRAVITY,
) -> Union[float, NDArray[np.float64]]: ...

See also

particle_settling_velocity_via_system_state

Show source in settling_velocity.py:101

Calculate the settling velocity of a particle.

Arguments

  • particle_radius - The radius of the particle in meters (m).
  • particle_density - The density of the particle (kg/m³).
  • temperature - The temperature of the system in Kelvin (K).
  • pressure - The pressure of the system in Pascals (Pa).

Returns

The settling velocity of the particle in meters per second (m/s).

Signature

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