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The Vertical Term
The Vertical Term (V) accounts for the vertical distribution of the Gaussian plume. It includes the effects of source elevation, receptor elevation and plume rise. In addition to the plume height, receptor height and mixing height, the computation of the Vertical Term requires the vertical dispersion parameter (sigz). The Vertical Term without deposition effects is then given by:
V= exp{-0.5 [(zr-he)/ sigz]2}+exp{-0.5 [(zr+he)/ sigz]2}+
+{exp[-0.5 (H1/sigz)2]+exp[-0.5 (H2/sigz)2]}i=1,2,...+
+{exp[-0.5 (H3/sigz)2]+exp[-0.5 (H4/sigz)2]}i=1,2,...(34)
where:
he = hs + Dh
H1 = zr - (2izi - he)
H2 = zr + (2izi - he)
H3 = zr - (2izi + he)
H4 = zr + (2izi + he)
zr = receptor height above ground (flagpole) (m)
zi = mixing height (m)
The infinite series term in Equation {} accounts for the effects of the restriction on vertical plume growth at the top of the mixing layer. This equation assumes that the mixing height in rural and urban areas is known for all stability categories.
The model make the following assumption about plume behavior in elevated simple terrain (terrain that exceeds the stack base elevation but is below the release height):
• The plume axis remains at the plume stabilization height as it passes over elevated or depressed terrain.
• The mixing height is terrain following.
• The wind speed is a function of height above sea level.
Thus, a modified plume stabilization height he_ is substituted for the effective stack height he in the Vertical Term given by Equation (1-50). For example, the effective plume stabilization height at the point x, y is given by:
h’e=he+zs-z(x,y) (35)
where:
zs= height above mean sea level of the base of the stack (m)
z(x,y)= height above mean sea level of terrain at the receptor location (x,y) (m)
It should also be noted that, the ISC models truncate terrain at stack height as follows: if the terrain height z - zs exceeds the source release height, the elevation of the receptor is automatically chopped off at the physical release height. The user is cautioned that concentrations at these complex terrain receptors are subject to considerable uncertainty.
Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI - Algorithms VII - Algorithms VIII - Algorithms IX - Algorithms X
Air pollution map (XY-Plane) produced by continuous discharge in time (three stacks). The red colour represents high pollutant concentrations. Wind: SW (225 degrees).
Pollution map (XY-Plane) produced by continuous discharge in a road region. The fucshia squares represent the road line (position of the different point sources) in a XY-Plane. The red colour represents high pollutant concentrations.
Canarina Algoritmos Numéricos, S.L.
Environmental software solutions
Canary Islands, Spain
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DISPER: Air pollution dispersion · DISPER - Solutions - Data - Algorithms - Emissions - Graphs - ISC3 (VOL. 2)
SOLUTIONS: Air pollution dispersion · DISPER - Software solutions - Software advantages - Price - DEMO download
COMMANDS: Input data I - Input data II - Input data III - Input data IV - Temporal average - Import and export data - Software commands
ALGORITHMS: Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI - Algorithms VII - Algorithms VIII - Algorithms IX - Algorithms X
EMISSIONS: Emissions I - Emissions II - Emissions III - Pollutants I - Pollutants II
GRAPHS: Graphs I - Graphs II - Graphs III - Graphs IV
