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2.3 Near mixing zone and distant mixing zone
We need to know the place where the plume centerline crosses the water surface or picnocline layer. To calculate this point we will use Ua and the vertical velocity Multiport diffuser.- W=1,66(g’q)1/3 being W the vertical velocity of the effluent (m/s).
Separated ports.- W=6,3(g’Qb/H)1/3 .
Single port.- W=6,3(g’Q/H)1/3.
In the last two cases, H will be replaced by ymax when the water is stratified. The point localization with regard to the place where the plume centerline crosses the surface, gives us the near and distant mixing zone definitions.
2.4 Concentration calculation
The concentration value in a plume point is determined by the X,Y,Z coordinates and is given by the equation:
C(X,Y,Z)=(C0/S) F0(t)F1(t)F2(Y,t)F3(Z,t)
being t=X/Ua. F0(t) takes into account non-conservative pollutants and is equal to:
F0(t)=10-t/T90
The F0, F1, F2 and F3 functions depend on being in near or distant mixing zone.
(a) Near mixing zone: In such a case, the equations are
F1(t)=1 F2(Y,t)=(1/2)[erf[(B/2+Y)/(σy21/2)]+ erf[(B/2-Y)/(σy21/2)]] F3(Z,t)=(1/2)[erf[(e+Z)/(σz21/2)]+ erf[(e-Z)/(σz21/2)]]
being σy=(2Kyt)1/2 and σz=(2Kzt)1/2. The program calculats erf function by numerical integration. The the precision of integration method depends on the parameter N_int. Increasing N_int value, we increase the numeric convergence but we will need more time of calculation. We should look for an optimized value of N_int.
ALGORITHMS: Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI
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