A circular sedimentation tank fitted with standard mechanical sludge removal equipment is to handle 3 MLD of raw water. If the detention period of the tank is 4 hours and the depth of the tank is 3 m. What should be the diameter of the tank?
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Answer:
16.03 Meters
Explanation:
Given
Quantity of the raw water to be treated per day = 3 * (10^6) Litres
Quantity of the raw water to be treated per day during detention period =
[3*(10^6)*4] / 24
= 625000 Litres
=625 cu.meters
The capacity of the circular tank of depth D and height H is given by
Volume = d^2[0.011d + 0.785H]
625= d^2[0.011d+0.785*3]
625=d^2[0.011d+2.255]
625=0.011*d^3+2.255*d^2
0.011*d^3+2.255*d^2-625=0
On Solving the equation we get d=16.03 m
Hence diameter of the tank = 16.03m
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