Temperature formulas (Heat Stress Overlay)

Two temperature formulas are used in the calculation of the PET value and both are calculated per timeframe:

• The atmospheric temperature $T_{a,t}$
• The wet-bulb temperature $T_{w,t}$

Atmospheric Temperature formula

$T_{a,t}=T_{station,t}+UH{I}_{max,t}\cdot f_{sun,t}$

where

• $T_{a,t}$ is the calculated atmospheric temperature at time t;
• $T_{station,t}$ is the temperature measured at a weather station at time t;
• $UH{I}_{max,t}$ is the calculated Urban Heat Island effect at time t;
• $f_{sun,t}$ is the sun daily motion factor at time t;

Wet-bulb Temperature formula

$T_{w,t}=T_{a,t}\cdot \arctan (0.151977\cdot \sqrt{{\varphi }_t+8.313659})+\arctan (T_{a,t}+{\varphi }_t)-\arctan ({\varphi }_t-1.676331)+(0.00391838\cdot {\varphi }_t{)}^{\frac{3}{2}}\cdot \arctan (0.023101\cdot {\varphi }_t)-4.686935$

where:

• $T_{w,t}$ is the calculated wet-bulb temperature;
• $T_{a,t}$ is the calculated atmospheric temperature;
• ${\varphi }_t$ is the relative humidity
• Constant values are sourced from the DPRA Heat stress report;

See also

---

Heat Stress Module

Heat Stress Module

Tutorials

Overview

Theory

Benchmarks

Group

Calculation models and formulas

Formulas

UHI • Temperatures • Diffuse radiation • PET

Calculation models

Foliage height • Sky view factor • Shade • Average vegetation and sky view factor

Related

Calculation models and formulas • Feature attributes • Model attributes • Result types