Source code for linerate.equations.convective_cooling
import numpy as np
from linerate.units import Celsius, Unitless, WattPerMeter, WattPerMeterPerKelvin
[docs]
def compute_convective_cooling(
surface_temperature: Celsius,
air_temperature: Celsius,
nusselt_number: Unitless,
thermal_conductivity_of_air: WattPerMeterPerKelvin,
) -> WattPerMeter:
r"""Compute the convective cooling of the conductor.
Equation (17) on page 24 of :cite:p:`cigre601`
and Equation (12) on page 6 of :cite:p:`cigre207`.
Parameters
----------
surface_temperature:
:math:`T_s~\left[^\circ\text{C}\right]`. The conductor surface temperature.
air_temperature:
:math:`T_a~\left[^\circ\text{C}\right]`. The ambient air temperature.
nusselt_number:
:math:`Nu`. The nusselt number.
thermal_conductivity_of_air:
:math:`\lambda_f~\left[\text{W}~\text{m}^{-1}~\text{K}^{-1}\right]`. The thermal
conductivity of air at the given temperature.
Returns
-------
Union[float, float64, ndarray[Any, dtype[float64]]]
:math:`P_c~\left[\text{W}~\text{m}^{-1}\right]`. The convective cooling of the conductor.
Either due to wind, or passive convection, whichever is largest.
"""
pi = np.pi
lambda_f = thermal_conductivity_of_air
T_s = surface_temperature
T_a = air_temperature
Nu = nusselt_number
return pi * lambda_f * (T_s - T_a) * Nu