For a Gaussian, sector-averaged plume, the hourly concentration at downwind distance x (meters) and crosswind distance y (meters) is given by:

 

where:

 

=  pollutant emission rate (mass per unit time),


 

    K

 

=  units scaling coefficient (see Equation (1‑1))

  Δθ´

 

=  the sector width in radians (=0.3927)

 

    R

 

 

=  radial distance from the point source to the receptor = [(x+xy)2 + y2]1/2 (m)

 

    x

 

 

=  downwind distance from source center to receptor, measured along the plume axis (m)

 

    y

 

 

=  lateral distance from the plume axis to the receptor (m)

 

   xy

 

=  lateral virtual distance for volume sources (see Equation (1‑35)), equals zero for point sources (m)

 

   us

 

=  mean wind speed (m/sec) at stack height

   σz

 

 

=  standard deviation of the vertical concentration distribution (m)

 

    V

 

=  the Vertical Term (see Section 1.1.6)

 

    D

 

=  the Decay Term (see Section 1.1.7)

 

CORR

 

=  the attenuation correction factor for receptors above the plume centerline height (see Section 1.5.8)

 

     Equation (1‑93) includes a Vertical Term, a Decay Term, and a vertical dispersion term (σz).  The Vertical Term includes the effects of source elevation, receptor elevation, plume rise, limited vertical mixing, gravitational settling and dry deposition.

 

 

 

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