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2.1 Water is stratified
2.1.1 Multiport diffuser.- We have three different cases:
Case I:
θ >=65º F<=0.1 ó
θ <65º F<=0.36
θ=angle between Ua vector and diffuser.
F=Fraude number F=Ua3 (g’q)-1
q=Unitary flor rate in the diffuser q=QLt-1 (m2/s)
Q=Discharge flow rate (m3/s)
Lt=Diffuser length (m)
S=initial dilution
In such a case, we have the next relationships
S=0.27 Ua H q-1 F-1/3
e=0.29H
B=SQ/eUa
Case II:
25o=<θ <65º F>0,36 (*)
In such a case, we have the next relationships
S=0.38 Ua H q-1
B=max[Ltsin θ; 0.93Lt F-1/3]
e=SQ/BUa
Case III:
θ <25º 0,36<F=<20
In such a case, we have the next relationships
S=0.294 Ua H q-1 F-1/4
B=max[Ltsin θ; 0.93Lt F-1/3]
e=SQ/BUa
Case IV:
θ <25º F>20
In such a case, we have the next relationships
S=0.139 Ua H q-1
B=max[Ltsin θ; 0.93Lt F-1/3]
e=SQ/BUa
Case V:
θ >65º F>0,1
In such a case, we have the next relationships
S=0.58 Ua H q-1
B=max[Ltsin θ; 0,93Lt F-1/3]
e=SQ/BUa
From Case II to Case V, and if e>H, we take e=H and S= UaBH/Q.
2.1.2 Separated ports.- We will solve this case by means of a iterative mathematical method
B=max[Ltsin θ; 0,93Lt F-1/3]
S=0.089 g’1/3 (H-e)5/3 Qb-2/3
e=SQ/BUa
Qb= flow rate at each single port(m3/s).
The number of iterations can modify by means of the parameter N_it of the function Calculation parameters of the program.
Increasing N_it value, we increase the numeric convergence but we will need more time of calculation. We should look for an optimized value of N_it.
Single port.- In such a case, we have the next relationships
e=0.15H
S=0.089 g’1/3 (H-e)5/3 Q-2/3
B=SQ/eUa (*)
However, at high velocity values and if B<=0.3H, the approximation is not correct .
Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI - Algorithms VII
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