GATE ME 2020 Set 1 — Question 60
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Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure.
The inlet and outlet areas of the nozzle are and , respectively. Take air density as constant and equal to . If the inlet gauge pressure of air is , the gauge pressure at point O on the plate is ______ kPa (round off to two decimal places).

Correct answer
0.37 to 0.45
Solution
1.Apply Bernoulli's equation between inlet (1) and outlet (2) of the nozzle:
Given (gauge) and (gauge, atmospheric discharge).
From continuity: .
and .
2.Point O is a stagnation point on the plate. Apply Bernoulli's between nozzle outlet (2) and point O:
Since (stagnation) and :
.
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