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SYMBOLS

Symbol

Definition

		A	Linear decay term for vertical dispersion in Schulman‑Scire downwash (dimensionless)
		A_e	Effective area for open pit emissions (dimensionless)
		D	Exponential decay term for Gaussian plume equation (dimensionless)
		D_B	Brownian diffusivity (cm/s)
		D_r	Relative pit depth (dimensionless)
		d_e	Effective pit depth (m)
		d_p	Particle diameter for particulate emissions (μm)
		d_s	Stack inside diameter (m)
		F_b	Buoyancy flux parameter (m⁴/s³)
		F_d	Dry deposition flux (g/m²)
		F_m	Momentum flux parameter (m⁴/s²)
		F_Q	Plume depletion factor for dry deposition (dimensionless)
		F_T	Terrain adjustment factor (dimensionless)
		F_w	Wet deposition flux (g/m²)
		f	Frequency of occurrence of a wind speed and stability category combination (dimensionless)
		g	Acceleration due to gravity (9.80616 m/s²)
		h_b	Building height (m)
		h_e	Plume (or effective stack) height (m)
		h_s	Physical stack height (m)
		h_ter	Height of terrain above stack base (m)
		h_s´	Release height modified for stack‑tip downwash (m)
		h_w	Crosswind projected width of building adjacent to a stack (m)
		k	von Karman constant (= 0.4)
		L	Monin-Obukhov length (m)
		L_y	Initial plume length for Schulman‑Scire downwash sources with enhanced lateral plume spread (m)
		L_b	Lesser of the building height and crosswind projected building width (m)
		l	Alongwind length of open pit source (m)
	P(x,y)		Profile adjustment factor (dimensionless)
		p	Wind speed power law profile exponent (dimensionless)
		Q_A	Area Source pollutant emission rate (g/s)
		Q_e	Effective emission rate for effective area source for an open pit source (g/s)
		Q_i	Adjusted emission rate for particle size category for open pit emissions (g/s)
		Q_s	Pollutant emission rate (g/s)
		Q_τ	Total amount of pollutant emitted during time period τ (g)
		R	Precipitation rate (mm/hr)
		R_o	Initial plume radius for Schulman‑Scire downwash sources (m)
R(z,z_d)			Atmospheric resistance to vertical transport (s/cm)
		r	Radial distance range in a polar receptor network (m)
		r_a	Atmospheric resistance (s/cm)
		r_d	Deposition layer resistance (s/cm)
		s	Stability parameter =
		S	Smoothing term for smoothing across adjacent sectors in the Long Term model (dimensionless)
		S_CF	Splip correction factor (dimensionless)
		Sc	Schmidt number = (dimensionless)
		St	Stokes number = (dimensionless)
		T_a	Ambient temperature (K)
		T_s	Stack gas exit temperature (K)
		u_ref	Wind speed measured at reference anemometer height (m/s)
		u_s	Wind speed adjusted to release height (m/s)
		u_*	Surface friction velocity (m/s)
		V	Vertical term of the Gaussian plume equation (dimensionless)
		V_d	Vertical term with dry deposition of the Gaussian plume equation (dimensionless)
		v_d	Particle deposition velocity (cm/s)
		v_g	Gravitational settling velocity for particles (cm/s)
		v_s	Stack gas exit velocity (m/s)
		X	X‑coordinate in a Cartesian grid receptor network (m)
		x_o	Length of side of square area source (m)
		Y	Y‑coordinate in a Cartesian grid receptor network (m)
		θ	Direction in a polar receptor network (degrees)
		x	Downwind distance from source to receptor (m)
		x_y	Lateral virtual point source distance (m)
		x_z	Vertical virtual point source distance (m)
		x_f	Downwind distance to final plume rise (m)
		x^*	Downwind distance at which turbulence dominates entrainment (m)
		y	Crosswind distance from source to receptor (m)
		z	Receptor/terrain height above mean sea level (m)
		z_d	Dry deposition reference height (m)
		z_r	Receptor height above ground level (i.e. flagpole) (m)
		z_ref	Reference height for wind speed power law (m)
		z_s	Stack base elevation above mean sea level (m)
		z_i	Mixing height (m)
		z₀	Surface roughness height (m)
		β	Entrainment coefficient used in buoyant rise for Schulman‑Scire downwash sources = 0.6
		β_j	Jet entrainment coefficient used in gradual momentum plume rise calculations
		Δh	Plume rise (m)
		¶θ/¶z	Potential temperature gradient with height (K/m)
		ε_i	Escape fraction of particle size category for open pit emissions (dimensionless)
		Λ	Precipitation scavenging ratio (s^-1)
		λ	Precipitation rate coefficient (s-mm/hr)^-1
		π	pi = 3.14159
		ψ	Decay coefficient = 0.693/T_1/2 (s^‑1)
		ψ_H	Stability adjustment factor (dimensionless)
		φ	Fraction of mass in a particular settling velocity category for particulates (dimensionless)
		ρ	Particle density (g/cm³)
		ρ_AIR	Density of air (g/cm³)
		σ_y	Horizontal (lateral) dispersion parameter (m)
		σ_yo	Initial horizontal dispersion parameter for virtual point source (m)
		σ_ye	Effective lateral dispersion parameter including effects of buoyancy‑induced dispersion (m)
		σ_z	Vertical dispersion parameter (m)
		σ_zo	Initial vertical dispersion parameter for virtual point source (m)
		σ_ze	Effective vertical dispersion parameter including effects of buoyancy‑induced dispersion (m)
		υ	Viscosity of air _ 0.15 cm²/s
		μ	Absolute viscosity of air _ 1.81 x 10^-4 g/cm/s
		χ	Concentration (μg/m³)
		χ_d	Concentration with dry deposition effects (μg/m³)