Problem 4.65

# Problem 4.65 - Problem 4.65 Given Data on flow and system...

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Problem 4.65 [Difficulty: 2] Given: Data on flow and system geometry Find: Force required to hold plug Solution: Basic equation: The given data is D 1 0.25 m = D 2 0.2 m = Q 1.5 m 3 s = p 1 3500 kPa = ρ 999 kg m 3 = Then A 1 π D 1 2 4 = A 1 0.0491 m 2 = V 1 Q A 1 = V 1 30.6 m s = A 2 π 4 D 1 2 D 2 2 = A 2 0.0177 m 2 = V 2 Q A 2 = V 2 84.9 m s = Applying the basic equation F p 1 A 2 + p 2 A 2 0 V 1 ρ V 1 A 1 ( ) + V 2 ρ V 2 A 2 ( ) + = and p 2 0 = (gage) Hence F p 1 A 1 ρ V 1 2
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