Formulas to calculate the solar-adjusted MRT

Hello
I hope you are fine
I am writing an article about the UTCI indexE
based on the component in the Ladybug the UTCI is calculated by the formula in this research paper, but there are around 9 formulas,

which formula is related to my work about the outdoor thermal comfort by UTCI index.
?
if is it possible. please highlight them in the paper and then return it to me, Or even name which number from 1-9 is the most related to this component, I asked this since in this component it is named that all formulas are extracted from this research paper.

Thank you

Arens et al. - 2015 - Modeling the comfort effects of short-wave solar radiation indoors-annotated.pdf (731.4 KB)

Are you only asking about the UTCI model? All of the documentation on the UTCI model in Ladybug Tools is here:

https://www.ladybug.tools/ladybug-comfort/docs/ladybug_comfort.utci.html

If, instead, you’re asking about the inputs to the UTCI model for a particular workflow, please be more specific.

Dear chris

I am asking about the formulas for long wave or short wave radiation calculation .
as you know in the paper I should prove that this component how calculate the solar ADJUSTOR , and in the component in the Ladybug it is written that the formulas to calculate the MRT is extracted from attached paper ,

but in this paper there are 9 formulas , which one one of were used for this component ( FOR CALCULATION THE SOLAR ADJUSTOR


2
3
8
9

Thanks

HI @hoorieh ,

All of those formulas reference each other so practically all of them are being used together in Ladybug Tools. The documentation on the implementation of the SolarCal model in Ladybug Tools can be found here:

https://www.ladybug.tools/ladybug-comfort/docs/ladybug_comfort.solarcal.html

… and this is the specific function that’s being called under the hood of the Outdoor Solar Adjustor component:

https://www.ladybug.tools/ladybug-comfort/docs/ladybug_comfort.solarcal.html#ladybug_comfort.solarcal.outdoor_sky_heat_exch