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HYDRAULIC MODEL OF TRICKLE-IRRIGATION LATERALS - IWRA

HYDRAULIC MODEL OF TRICKLE-IRRIGATION LATERALS - IWRA

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5<br />

-2 5<br />

7<br />

for 2000 < Re ≤ 10 , K<br />

0<br />

= 9,2794x10<br />

for 10 < Re ≤ 10 . The coefficient of Boussinesq<br />

for laminar flow is α = 1,33 and for turbulent flow is α = 1, 10 . The coefficient of<br />

proportionality between the longitudinal projection of discharged velocity and the<br />

averaged flow velocity throughout the cross-section is δ = 0, 1.<br />

The first boundary condition of the model for the given example is:<br />

x = 0 Q = Q0<br />

= Nq = 407,75l/h h = h0<br />

= 1bar<br />

The second boundary condition is calculated by the program.<br />

The results calculated are drawn in diagrams: pressure head h = f (x) along the<br />

lateral length is shown in Fig. 5; dripline flow rate Q = f ( x)<br />

in Fig. 6; emitter<br />

discharge q in Fig.7 ; Re = f ( x)<br />

in Fig. 8; n = f (Re, x)<br />

in Fig. 9; m = f (Re, x) in<br />

Fig. 10; K = (Re, x) in Fig. 11; coefficient of Boussinesq α in Fig. 12, respectively.<br />

0<br />

f<br />

8. Results from the program<br />

Dripline Flow Rate Q(l/h)<br />

400<br />

350<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

0 10 20 30 40 50 60 70<br />

Lateral Length l(m)<br />

Fig.6. Distribution of pressure head<br />

h along the lateral length l<br />

Pressure Head h(m)<br />

10<br />

9.9<br />

9.8<br />

9.7<br />

9.6<br />

9.5<br />

9.4<br />

9.3<br />

9.2<br />

9.1<br />

9<br />

0 10 20 30 40 50 60 70<br />

Lateral Length l(m)<br />

Fig.7. Distribution of drip line flow rate<br />

along the lateral length l<br />

1.76<br />

14000<br />

Emitter Discharge q(l/h)<br />

1.74<br />

1.72<br />

1.7<br />

1.68<br />

Reynolds Number Re<br />

12000<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

1.66<br />

0 10 20 30 40 50 60 70<br />

Lateral Length l(m)<br />

0<br />

0 10 20 30 40 50 60 70<br />

Lateral Length l(m)<br />

Fig.8. Distribution of emitter discharge<br />

along the lateral length l<br />

Fig.9. Distribution of Reynolds<br />

number along the lateral length<br />

8

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