GATE CE 2023 Set 1 — Question 63
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Environmental Engineering → Drinking Water Treatment → Coagulation & Flocculation
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Question
A flocculator tank has a volume of m. The temperature of water in the tank is C, and the average velocity gradient maintained in the tank is /s. The temperature of water is reduced to C, but all other operating conditions including the power input are maintained as the same. The decrease in the average velocity gradient (in %) due to the reduction in water temperature is ________ (round off to nearest integer).[Consider dynamic viscosity of water at C and C as N-s/m and N-s/m, respectively]
Correct answer
12 to 15
Solution
The power input () in a flocculator is given by the formula:where:
= average velocity gradient
= dynamic viscosity of water
= volume of the tankGiven that the power input () and volume () are maintained as the same at both temperatures:Substituting the given values:
(at C)
(at C)The percentage decrease in the average velocity gradient is:Rounding off to the nearest integer, we get .
= average velocity gradient
= dynamic viscosity of water
= volume of the tankGiven that the power input () and volume () are maintained as the same at both temperatures:Substituting the given values:
(at C)
(at C)The percentage decrease in the average velocity gradient is:Rounding off to the nearest integer, we get .
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