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METI-LIS Technical Manual

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forecasting suspended particulate pollutants. This model introduces a correction coefficient<br />

α and expresses the deposition effect through an additional term in the dispersion equation.<br />

C(x, y, z)<br />

( He − V x / u − z)<br />

( He − V x / u z)<br />

2 ⎡<br />

2<br />

2<br />

Q y<br />

⎤<br />

s<br />

s +<br />

= exp( − ) ⎢exp(<br />

−<br />

) + α( x)<br />

exp( −<br />

) ⎥<br />

2πσ<br />

u<br />

2<br />

2<br />

2<br />

yσ<br />

z 2σ<br />

y ⎢⎣<br />

2σ<br />

z<br />

2σ<br />

z ⎥⎦<br />

(3.4)<br />

α<br />

( x)<br />

2V<br />

d<br />

= 1−<br />

(3.5)<br />

V + V +<br />

s<br />

d<br />

( uHe −V<br />

x) / σ × ( dσ<br />

/ dx)<br />

s<br />

z<br />

z<br />

Vd = Vs<br />

+ 0. 006u<br />

(3.6)<br />

FLUX = V C x,<br />

y,<br />

z )<br />

(3.7)<br />

d<br />

(<br />

ref<br />

Table 3.5: Particulate deposition equation symbols<br />

Symbol<br />

Definition<br />

Q<br />

Volume of emitted particulate<br />

C<br />

Concentration<br />

x, y Coordinates (x represents the downwind axis)<br />

z<br />

ref Reference height<br />

FLUX<br />

u<br />

V<br />

d<br />

Deposition volume of the pollutant<br />

Mean wind speed<br />

Dry deposition velocity<br />

3.2 Line Source Model<br />

3.2.1 Dispersion Equation<br />

Sources with line-shaped characteristics are found by numerically integrating the<br />

point-source plume equation, Equation 3.8.<br />

C(x, y, z)<br />

2<br />

( z − He) ( z He)<br />

2 ⎡<br />

2<br />

Q y<br />

+ ⎤<br />

= exp( − ) ⎢exp(<br />

− ) + exp( − ) ⎥<br />

2πσ<br />

u<br />

2<br />

2<br />

2<br />

yσ<br />

z 2σ<br />

y ⎢⎣<br />

2σ<br />

z<br />

2σ<br />

z ⎥⎦<br />

(3.8)<br />

-32-

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