Local authorities of Ankara built a basin as cylindrical tank with an upper diameter D1 = 1500m, lower diameter D2 = 750m and height H = 25m, in Ankara as shown in the figure. Nowadays we face out drought periods, the water height in the basin is at the level of 9 m. This value should not fall below 5 m (critical point). Regional officials estimate that the consumption rate in the city is 71620 m / day from the pipe with 2 m in diameter, and the water inlet flow rate from various source (rainfall, current) to the basin will be 150000 m3 / day. The independent variable shows the time in t days, and how long does the water level in the tank (basin) reach the critical value? (ρ = 1000kg / m3)

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Local authorities of Ankara built a basin as cylindrical tank with an upper diameter D1 = 1500m, lower
diameter D2 = 750m and height H = 25m, in Ankara as shown in the figure. Nowadays we face out drought periods,
the water height in the basin is at the level of 9 m. This value should not fall below 5 m (critical point). Regional
officials estimate that the consumption rate in the city is 71620 m / day from the pipe with 2 m in diameter, and the
water inlet flow rate from various source (rainfall, current) to the basin will be 150000 m3
/ day. The independent
variable shows the time in t days, and how long does the water level in the tank (basin) reach the critical value?
(ρ = 1000kg / m3)

 

D'dh
expression
For the calculation of initial volume and the critical volume (at the critical point), use V =
The diameter of water, D depends on the height of water level in basin. Thus, its cross section area, A also
depends on the height of water level. Use below expressions in your calculations
D – D,
1500 – 750
D(h) = D, +
-h =750+
Н
h=750+30h
25
A(h) =
(750 + 30h)?
4
DI
inlet
H
h
outlet
D2
Transcribed Image Text:D'dh expression For the calculation of initial volume and the critical volume (at the critical point), use V = The diameter of water, D depends on the height of water level in basin. Thus, its cross section area, A also depends on the height of water level. Use below expressions in your calculations D – D, 1500 – 750 D(h) = D, + -h =750+ Н h=750+30h 25 A(h) = (750 + 30h)? 4 DI inlet H h outlet D2
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