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AnnyKZ [126]
4 years ago
9

Air flows steadily through a horizontal 4-in.-diameter pipe and exits into the atmosphere through a 3-in.-diameter nozzle. The v

elocity at the nozzle exit is 150 ft/s. Determine the pressure in the pipe if viscous effects are negligible.
Engineering
1 answer:
Gnom [1K]4 years ago
7 0

Answer:

P=18.28\ lb/ft^2

Explanation:

Given that

d₁ = 4 in

d₂ = 3 in

v₂ = 150 ft/s

We know that ,from continuity equation

A₁v₁= A₂v₂

d₁²v₁ = d₂²v₂

v_1=\dfrac{3^2}{4^2}\times 150\ ft/s

v_1=84.37\ ft/s

Now by using energy equation ,The pressure P is given as

P=\dfrac{1}{2}(v_2^2-v_1^2)\times \rho\ lb/ft^2

P=\dfrac{1}{2}(150^2-84.37^2)\times 0.002377\ lb/ft^2

P=18.28\ lb/ft^2

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