Temperature formulas (Heat Overlay)

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

  • The atmospheric temperature Ta
  • The wet-bulb temperatur Tw

Atmospheric Temperature formula

where

  • is the calculated atmospheric temperature at time t;
  • is the temperature measured at a weather station at time t;
  • is the calculated Urban Heat Island effect at time t;
  • is the sun daily motion factor at time t;

Wet-bulb Temperature formula

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 · \phi^{\frac{3}{2}} \arctan{0.023101 \cdot \phi} - 4.686935} where:

  • Tw,t is the calculated wet-bulb temperature;
  • Ta,t is the calculated atmospheric temperature;
  • ϕ is the sun altitude angle;

See also