A horizontal pipe has an abrupt expansion from D1 = 8 cm to D2 = 16 cm. The water velocity in the smaller section is 10 m/s and the flow is turbulent. The pressure in the smaller section is P1 = 410 kPa. Taking the kinetic energy correction factor to be 1.06 at both the inlet and the outlet, determine the downstream pressure P2, and estimate the error that would have occurred if Bernoulli’s equation had been used.

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8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.14P
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A horizontal pipe has an abrupt expansion from
D1 = 8 cm to D2 = 16 cm. The water velocity in the smaller
section is 10 m/s and the flow is turbulent. The pressure
in the smaller section is P1 = 410 kPa. Taking the kinetic
energy correction factor to be 1.06 at both the inlet and the
outlet, determine the downstream pressure P2, and estimate
the error that would have occurred if Bernoulli’s equation had
been used.

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