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Mechanical EngineeringQ&A LibraryProblem 3: Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. Determine the following for the following wall surface condition i.e. the wall is smooth plastic; a) The Reynolds number. State whether a laminar or turbulent flow is expected.b) The Darcy friction factor, ?, and then find the pressure drop over the length of the pipe.c) Find the corresponding head loss, and calculate the pressure drop over the length of pipe if the velocity is halved, to 3.0 m/sec for the smooth wall case.Question

Asked Nov 23, 2019

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Problem 3: Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. Determine the following for the following wall surface condition i.e. the wall is smooth plastic;

a) The Reynolds number. State whether a laminar or turbulent flow is expected.

b) The Darcy friction factor, ?, and then find the pressure drop over the length of the pipe.

c) Find the corresponding head loss, and calculate the pressure drop over the length of pipe if the velocity is halved, to 3.0 m/sec for the smooth wall case.

Step 1

Given:

The temperature of water T = 15^{o}C

The diameter of pipe d = 6 cm = 0.06 m

The length of the pipe L = 25 meter

The wall is smooth plastic. The flow is fully developed. The cross-section of the pipe is circular.

Step 2

The Reynold’s number can be calculated as

Step 3

For the turbulent flow, the Darcy’s friction fact...

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