Temperature formulas (Heat Stress Overlay): Difference between revisions

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==Wet-bulb Temperature formula==
==Wet-bulb Temperature formula==
<math>T_{w,t} = T_{a,t} \cdot \arctan( 0.151977 \cdot \sqrt{\phi + 8.313659})+ \arctan (T_{a} + \phi) - \arctan(\phi - 1.676331) + 0.00391838 \cdot \phi^{\frac{3}{2}}  \arctan(0.023101 \cdot \phi) - 4.686935</math>
<math>T_{w,t} = T_{a,t} \cdot \arctan( 0.151977 \cdot \sqrt{\phi + 8.313659})+ \arctan (T_{a} + \phi) - \arctan(\phi - 1.676331) + 0.00391838 \cdot \phi_t^{\frac{3}{2}}  \arctan(0.023101 \cdot \phi_t) - 4.686935</math>


where:
where:
* <math>T_{w,t}</math> is the calculated wet-bulb temperature;
* <math>T_{w,t}</math> is the calculated wet-bulb temperature;
* <math>T_{a,t}</math> is the calculated atmospheric temperature;
* <math>T_{a,t}</math> is the calculated atmospheric temperature;
* <math>\phi</math> is the [[Sun_altitude_(Heat Stress Overlay)|sun altitude angle]];
* <math>\phi_t</math> is the [[Hourly_humidity_(Heat Stress Overlay)|relative humidity]]
* Constant values are sourced from the {{Heat DPRA Report}};
* Constant values are sourced from the {{Heat DPRA Report}};



Revision as of 06:50, 13 October 2026

Two temperature formulas are used in the calculation of the PET value:

  • The atmospheric temperature Ta
  • The wet-bulb temperature[1] Tw

Atmospheric Temperature formula

Ta,t=Tstation,t+UHImax,t⋅fsun,t

where

Wet-bulb Temperature formula

Tw,t=Ta,t⋅arctan⁡(0.151977⋅ϕ+8.313659)+arctan⁡(Ta+ϕ)−arctan⁡(ϕ−1.676331)+0.00391838⋅ϕt32arctan⁡(0.023101⋅ϕt)−4.686935

where:

See also

  1. ↑ Wikipedia • Wet-bulb temperature • https://en.wikipedia.org/wiki/Wet-bulb_temperature • Last visited: 20-12-2019