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All Conditions - Distance Less Than Distance to Final Rise

Where gradual rise is to be estimated for unstable, neutral, or stable conditions, if the distance downwind from source to receptor, x, is less than the distance to final rise:

h_e=h_s+1.60 [(F_b x²)^1/3/u_s]      (21)

This height will be used only for buoyancy dominated conditions; should it exceed the final rise for the appropriate condition. For momentum dominated conditions, the following equations are used to calculate a distance dependent momentum plume rise:

a) unstable conditions:

h_e=h_s+[3F_mx/(bet_j²u_s²)]^1/3      (22)

where x is the downwind distance, with a maximum value x_max:

x_max=4d_s(v_s+3u_s)/(v_su_s)   for F_b=0                 (23)

x_max=49 F_b^5/8             for 0 < F_b < 55 m²s³      (24)

x_max=119 F_b^2/5            for F_b > 55 m²s³         (25)

b) stable conditions:

h_e=h_s+(3F_m)^1/3{sin[x s^1/2/u_s]}^1/3[bet_j²u_ss^1/2]^-1/3   (26)

where x is the downwind distance, with a maximum value x_max:

x_max=0.5 pi u_s/s^1/2            (27)

The jet entrainment coefficient, bet_j, is given by,

bet_j=(1/3)+(u_s/v_s)       (28)

If the distance-dependent momentum rise exceeds the final rise for the appropriate condition, then the final rise is substituted instead.

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.