fehim yamak calgav..Here is the comprehensive technical summary and final note translated into English, formatted specifically for a System Requirements Document (SRD) or technical specification.
Technical Definition: Dynamic Aerosol Loading Model
1. Definitions and Parameters
- n_d: Droplet density per unit volume (\text{droplets} / m^3)
- L_{\text{virus}}: Average viral load per droplet (\text{virus} / \text{droplet}) – Assumed constant in short-term scales.
- L_{\text{odor}}(t): Average odor (VOC) load per droplet (\text{molecules} / \text{droplet}) – Time-dependent variable.
- C_{\text{VOC,ambient}}: Concentration of Volatile Organic Compounds (VOCs) in the ambient air.
2. Volumetric Loading Formulas
- Volumetric Viral Load (C_{\text{virus}}):
- Volumetric Odor Load (C_{\text{odor}}(t)):
The accumulation of the odor load follows an adsorption-desorption kinetic:
(Where k_{\text{ads}} is the adsorption coefficient and k_{\text{des}} is the desorption coefficient.)
3. Integrated Risk Score (R)
To evaluate the total environmental impact over time, the Risk Score is defined as:
- \alpha, \beta: Weighting coefficients for biological and chemical loads.
- \Phi(\text{humidity}, \text{wind}): Dispersion function. High humidity decreases the evaporation rate (stabilizing n_d), while high wind increases spatial dilution (decreasing n_d).
Final SRD Note (Technical Summary)
“The model defines the system risk (R) as a linear combination of the suspended viral concentration and the cumulative odor load. While the volumetric virus concentration (C_{\text{virus}}) remains approximately constant over time, the odor load (C_{\text{odor}}(t)) functions as an increasing enrichment variable based on ambient VOC concentration and adsorption/desorption kinetics. Environmental factors act as modulators: humidity extends the droplet lifespan, thereby preserving the viral integrity, whereas wind velocity serves as a dilution factor that reduces the total load per unit volume.”
