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Problem 4.79

Problem 4.79 - Problem 4.79 Given Water flow through nozzle...

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Problem 4.79 [Difficulty: 2] Given: Water flow through nozzle Find: Force to hold nozzle Solution: Basic equation: Momentum flux in x direction for the elbow Assumptions: 1) Steady flow 2) Incompressible flow 3) Uniform flow Hence R x p 1g A 1 + p 2g A 2 + V 1 ρ V 1 A 1 ( ) V 2 cos θ ( ) ρ V 2 A 2 ( ) + = R x p 1g A 1 ρ V 2 2 A 2 cos θ ( ) V 1 2 A 1 + = From continuity V 2 A 2 V 1 A 1 = s o V 2 V 1 A 1 A 2 = V 1 D 1 D 2 2 = V 2 1.5 m s 30 15 2 = V 2 6 m s = Hence R x 15 10 3 × N m 2 π 0.3 m ( ) 2 4 × 1000 kg m 3 6 m s
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