AuraPulse AI — Urban Thermal Canyon & Liljegren WBGT Heat Stress Engine

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CANYON & CLIMATE CONTROLS

URBAN GEOMETRY PRESETS

ATMOSPHERIC TELEMETRY

Ambient Dry Bulb ($T_a$) 35.0 °C

Relative Humidity ($RH$) 60 %

Direct Solar Irradiance ($K_{\downarrow}$) 850 W/m²

Street Wind Velocity ($v$) 1.8 m/s

Pavement Albedo ($\alpha$) 0.18

URBAN MITIGATION DEPLOYMENTS

High-Albedo Cool Coating ($\alpha = 0.48$)

Green Bioshade Canopy (-40% Direct Solar)

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STEFAN-BOLTZMANN URBAN THERMAL CANYON RAYTRACER

SVF: 0.24 • H/W: 2.00

SOLAR INPUT 850 W/m²

SKY LW INCOMING 102 W/m²

PAVEMENT EMISSION ($\varepsilon \sigma T^4$) 662 W/m²

ABSORBED SOLAR: 697 W/m²

NET RADIATION ($R_{\text{net}}$): 137 W/m²

SURFACE TEMP ($T_{\text{surf}}$): 62.5 °C

CONVECTIVE COEFF ($h_c$): 12.5 W/m²K

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ISO 7243 OCCUPATIONAL HEAT STRAIN & WORK-REST LIMITS

WORK-REST CYCLE

15 min work / 45 min rest

Strict OSHA / ISO 7243 heavy metabolic labor threshold

HYDRATION REPLENISHMENT

1.25 L / hour

Electrolyte balance required to prevent heat exhaustion

BLACK GLOBE TEMP ($T_g$)

47.5 °C

Equilibrium 150mm radiative black sphere telemetry

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WBGT RADAR & FORMAL PROOFS

MATHEMATICAL MICROCLIMATE LAWS

1. Stefan-Boltzmann Radiative Balance

$$R_{\text{net}} = (1-\alpha) K_{\downarrow} + \varepsilon \sigma (T_{\text{sky}}^4 - T_{\text{surf}}^4) \cdot \text{SVF}$$

Narrow urban street canyons reduce Sky View Factor ($\text{SVF} \to 0.15$), trapping infrared emission and amplifying daytime heat storage.

2. Liljegren Outdoor WBGT Model

$$\text{WBGT} = 0.7 T_{\text{nwb}} + 0.2 T_g + 0.1 T_a$$

Evaluates cumulative thermal stress factoring evaporative sweat potential ($T_{\text{nwb}}$), solar radiative load ($T_g$), and convective air temp ($T_a$).

TACTICAL CLI COMMAND

python3 aurapulse/cli/main.py canyon --height 30 --width 15 --temp 35.0 --solar 850