DESCAR software: environmental consulting

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Algorithms IV · software · environmental consulting

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 U_a vector and diffuser.

F=Fraude number F=Ua³ (g’q)^-1

q=Unitary flor rate in the diffuser q=QL_t^-1 (m²/s)

Q=Discharge flow rate (m³/s)

L_t=Diffuser length (m)

S=initial dilution

In such a case, we have the next relationships

S=0.27 U_a H q^-1 F^-1/3

e=0.29H

B=SQ/eU_a

Case II:

25^o=<θ <65º F>0,36 (*)

In such a case, we have the next relationships

S=0.38 U_a H q^-1

B=max[L_tsin θ; 0.93L_t F^-1/3]

e=SQ/BU_a

Case III:

θ <25º 0,36<F=<20

In such a case, we have the next relationships

S=0.294 U_a H q^-1 F^-1/4

B=max[L_tsin θ; 0.93L_t F^-1/3]

e=SQ/BU_a

Case IV:

θ <25º F>20

In such a case, we have the next relationships

S=0.139 U_a H q^-1

B=max[L_tsin θ; 0.93L_t F^-1/3]

e=SQ/BU_a

Case V:

θ >65º F>0,1

In such a case, we have the next relationships

S=0.58 U_a H q^-1

B=max[L_tsin θ; 0,93L_t F^-1/3]

e=SQ/BU_a

From Case II to Case V, and if e>H, we take e=H and S= U_aBH/Q.

2.1.2 Separated ports.- We will solve this case by means of a iterative mathematical method

B=max[L_tsin θ; 0,93L_t F^-1/3]

S=0.089 g’^1/3 (H-e)^5/3 Q_b^-2/3^(***)

e=SQ/BU_a

Q_b= 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/eU_a (*)

However, at high velocity values and if B<=0.3H, the approximation is not correct .

environmental consulting

DESCAR software solutions: This application has been used in great number of environmental reports, courses and water pollution studies in the last years. We currently have users in more than 10 countries. Water pollution reports: environmental consulting

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