PET formulas (Heat Overlay): Difference between revisions
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The PET sun formula is as followed:<br> | The PET sun formula is as followed:<br> | ||
<math>PET_{sun} = -13.26 + 1.25 \cdot T_{a,t}+ 0.011 \cdot Q_{gl,t} - 3.37 \cdot ln(u_t) + 0.078 \cdot T_{w,t} + 0.0055 \cdot Q_{gl,t} \cdot ln(u) + 5.56 · sin(\phi_{t}) - 0.0103 \cdot Q_{gl,t} \cdot ln(u_t) \cdot sin(\phi_{t}) + 0.546 \cdot B_{b,t} + 1.94 \cdot S_{vf}</math> | <math>PET_{sun} = -13.26 + 1.25 \cdot T_{a,t}+ 0.011 \cdot Q_{gl,t} - 3.37 \cdot ln(u_t) + 0.078 \cdot T_{w,t} + 0.0055 \cdot Q_{gl,t} \cdot ln(u) + 5.56 · sin(\phi_{t}) - 0.0103 \cdot Q_{gl,t} \cdot ln(u_t) \cdot sin(\phi_{t}) + 0.546 \cdot B_{b,t} + 1.94 \cdot S_{vf}</math> | ||
<math>PET_{sun} = -13.26 + 1.25 \cdot T_{a,t}+ 0.011 \cdot Q_{gl,t} - 3.37 \cdot ln(u_t) + 0.078 \cdot T_{w,t} + 0.0055 \cdot Q_{gl,t} \cdot ln(u) + 5.56 | <math>PET_{sun} = -13.26 + 1.25 \cdot T_{a,t}+ 0.011 \cdot Q_{gl,t} - 3.37 \cdot ln(u_t) + 0.078 \cdot T_{w,t} + 0.0055 \cdot Q_{gl,t} \cdot ln(u)+ 5.56 \cdot sin(\phi_{t}) </math> | ||
where, | where, | ||
Revision as of 11:39, 20 September 2019
The physiological equivalent temperature PET is calculated for two possible options based on the situation:
- A cell is in the shade or it is night at time t: PETshade, night;
- A cell is in the sun during the day: PETsun;
PET Sun formula
The PET sun formula is as followed:
Failed to parse (syntax error): {\displaystyle PET_{sun} = -13.26 + 1.25 \cdot T_{a,t}+ 0.011 \cdot Q_{gl,t} - 3.37 \cdot ln(u_t) + 0.078 \cdot T_{w,t} + 0.0055 \cdot Q_{gl,t} \cdot ln(u) + 5.56 · sin(\phi_{t}) - 0.0103 \cdot Q_{gl,t} \cdot ln(u_t) \cdot sin(\phi_{t}) + 0.546 \cdot B_{b,t} + 1.94 \cdot S_{vf}}
where,
- Ta,t is the calculated atmospheric temperature at time t;
- Qgl,t is the hourly radiation at time t;
- ut is the calculated wind speed at 1.2m above ground time t;
- Tw,t is the calculated wet-bulb temperature at time t;
- ϕt is the sun altitude at time t;
- Bb,t is the bowen ratio at time t;
- Svf is the calculated sky view factor.
PET Shade and Night formula
The PET shade and night formula is as followed:
PETshade,night,t = -12.14 + 1.25 · Ta,t - 1.47 · ln(ut) + 0.060 · Tw,t + 0.015 · SvfQd,t + 0.0060 · (1-Svf) · σ · (Ta,t+273.15)4
where,
- Ta,t is the calculated atmospheric temperature at time t;
- ut is the calculated wind speed at 1.2m above ground time t;
- Tw,t is the calculated wet-bulb temperature at time t;
- Svf is the calculated sky view factor;
- Qd,t is the calculated diffusive radiation at time t;
- σ is the Stefan Boltzmann constant, which is 5.670374419...×10-8 W⋅m-2⋅K-4.
