GATE ME 2020 Set 2 — Question 58
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Fluid Mechanics → Fluid Kinematics & Dynamics → Continuity & Momentum Equations
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Question
Consider a flow through a nozzle, as shown in the figure below.
The air flow is steady, incompressible and inviscid. The density of air is . The pressure difference, is ________ kPa (round off to 2 decimal places).

Correct answer
1.5 to 1.55
Solution
Given:
1.Using the continuity equation to find :
2.Applying Bernoulli's equation between sections 1 and 2:
3.Convert to kPa:
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