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Question

Three reservoirs A, B and C are interconnected by pipes as shown in the given figure. Water surface elevations in the reservoirs and the piezometric level at the junction D are also indicated in the figure.

Flow Q1,Q2 and Q3 are related as

A
Q1+Q2=Q3
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B
Q1+Q2=Q3
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C
Q2Q1=Q3
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D
Q1+Q2+Q3=0
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Solution

The correct option is A Q1+Q2=Q3
The direction of flow can be determined from head difference as the flow occurs from high head to low head.

Piezometric head at A> Piezometric level at D so flow Q1 is from A toward D.

Piezometric head at B> Piezometric level at D so flow Q2 is from B towards D.

Piezometric head at C< Piezometric level at D so flow Q3 is from D towards C.

Q1+Q2=Q3

:: Q₁ + Q₂ = Q3

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