Abstract

Theoretical calculations of the cooling potential of radiative cooling materials are crucial for determining their cooling capability under different meteorological conditions and evaluating their performance. To facilitate these calculations, accurate models of long-wave infrared downwelling atmospheric irradiance are needed. However, the transmittance-based cosine approximation, which is widely used to determine radiative cooling potentials under clear sky conditions, does not account for the cooling potential arising from heat loss to the colder reaches of the atmosphere itself. Here, we show that use of the approximation can lead to >10% underestimation of the cooling potential relative to MODTRAN 6 outputs. We propose a temperature correction to the transmittance-based approximation, which accounts for heat loss to the cold upper atmosphere, and significantly reduces this underestimation, while retaining the advantages of the original model. In light of the widespread and continued use of the transmittance-based model, our results highlight an important source of potential errors in the calculation of clear sky radiative cooling potentials and a means to correct for them.

Highlights

  • In recent years, radiative cooling has seen growing scientific and commercial interest for applications ranging from the passive cooling of buildings to geoengineering

  • The cooling potential, which is defined as the difference between the radiance from a sky-facing radiative cooler and the downwelling atmospheric irradiance under clear skies, can vary between ~0 and 150 Wm−2 depending on the ambient temperature and total precipitable water (TPW) content [2]

  • Comparative analysis against the MODTRAN atmospheric hemispherical irradiance model shows that the transmittancebased cosine approximation yields a significantly higher downwelling atmospheric irradiance, and cooling potentials that are lower by 6–24 Wm−2, under typical operating conditions, which is 10–23% more than the approximation itself

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Summary

A Temperature Correction to the Transmittance-Based

Clear-Sky Radiative Cooling Potentials: Abstract: Theoretical calculations of the cooling potential of radiative cooling materials are crucial for determining their cooling capability under different meteorological conditions and evaluating their performance. To facilitate these calculations, accurate models of long-wave infrared downwelling atmospheric irradiance are needed. We propose a temperature correction to the transmittance-based approximation, which accounts for heat loss to the cold upper atmosphere, and significantly reduces this underestimation, while retaining the advantages of the original model. In light of the widespread and continued use of the transmittance-based model, our results highlight an important source of potential errors in the calculation of clear sky radiative cooling potentials and a means to correct for them.

Introduction
Atmospheric Irradiance and the Transmittance-Based Cosine Approximation
Issues with the Transmittance-Based Cosine Approximation
Temperature-Corrections of theleading
Findings
Conclusions
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