Calculation of long wavelength radiation exchanges with the sky and the environment
Hypothesis and equations
The solar flux with long wavelength radiation has two sources : the environment and the sky. Different hypothesis have been made :
The radiative net fux exchanged between a wall and the outside is calculated with the function below :
Where is the Stefan-Boltzmann constant.
Bibliography
TF1 CLIM2000
Instructions for use
Typical values for epsilon (from BodyRadiation model) :
aluminium, polished 0.04 copper, polished 0.04 gold, polished 0.02 paper 0.09 rubber 0.95 silver, polished 0.02 wood 0.85..0.9
It is possible to calculate the long wavelength exchanges with the soil using the boolean backLWR = true
.
Known limits / Use precautions
As this model is used in a wall model with convective and radiatives exchanges on its surface, care must be taken to ensure that the outside superficial heat exchange coefficient is a real convective heat exchange coefficient instead of integrating the long wavelength radiation.
Validations
Validated model (analytical verification + verification of the coherence of the exchanged fluxes profile) - Aurélie Kaemmerlen 09/2011
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Licensed by EDF under a 3-clause BSD-license
Copyright © EDF 2009 - 2023
BuildSysPro version 3.6.0
Author : Aurélie KAEMMERLEN, EDF (2011)
Initial model : BodyRadiation, Anton Haumer, Copyright © Modelica Association, Michael Tiller and DLR.
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Stéphanie Froidurot 07/2019 : Adding the possibility to use fixed (parameter) or prescribed (input) tilt, controlled by a boolean (use_incl_in). Adding the possibility to calculate radiative exchanges with the soil (tilt = 180 - incl), controlled by a boolean (backLWR).