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GATE Exam Questions - Engineering

Q1:

Three reservoirs A, B and C are interconnected by pipes as shown in the below figure Water surface elevations in the reservoirs and the Piezometric Head at the junction J are indicated in the below figure.

Discharges Q1, Q2 and Q3 are related as

A Q1 + Q2 = Q3

B Q1 = Q2 + Q3

C Q2 = Q1 + Q3

D Q1 + Q2 + Q3 = 0

ANS:B - Q1 = Q2 + Q3

Ans is option A.

Flow takes place from higher energy level to lower energy level.
Head for A, 200m > head at jn, 160m
So flow from A to jn.

Head for B, 180m > head at jn, 160m
So flow from B to jn.

Head for C, 140m < head at jn, 160m
So flow from jn to C.

Hence, Q1 + Q2 = Q3.