Shown here is a narrow pipe open to the atmosphere at the top. Initially, there is steady-state flow in the pipe, until the pipe breaks on the right side of the horizontal portion, and the fluid starts to flow out. Assume that only the horizontal portion of the pipe has high resistance. Explain what happens once the fluid starts to flow out into the atmosphere by answering the questions h below: 1) Explain why this is no longer a steady-state flow system. 2) Obtain an expression for current by applying Bernoulli's equation from the top of the pipe to the location of the leak on the bottom right. Assume there is always liquid in the horizontal portion of the pipe. R 3) Bernoulli's equation assumes that the current / is always positive. Recall that current is the rate of change of volume with time. In this case, does the volume decrease or increase with time? Based on your answer adjust the sign in front of I. Then, express I in terms of the rate of change of volume. 4) Express volume in the equation from 3) in terms of height and area. 5) The equation you found in 4) should relate the rate of change of height to the height itself. Can you think of a function that satisfies this relation?

Shown here is a narrow pipe open to the atmosphere at the top. Initially, there is steady-state flow in the pipe, until the pipe breaks on the right side of the horizontal portion, and the fluid starts to flow out. Assume that only the horizontal portion of the pipe has high resistance. Explain what happens once the fluid starts to flow out into the atmosphere by answering the questions h below: 1) Explain why this is no longer a steady-state flow system. 2) Obtain an expression for current by applying Bernoulli's equation from the top of the pipe to the location of the leak on the bottom right. Assume there is always liquid in the horizontal portion of the pipe. R 3) Bernoulli's equation assumes that the current / is always positive. Recall that current is the rate of change of volume with time. In this case, does the volume decrease or increase with time? Based on your answer adjust the sign in front of I. Then, express I in terms of the rate of change of volume. 4) Express volume in the equation from 3) in terms of height and area. 5) The equation you found in 4) should relate the rate of change of height to the height itself. Can you think of a function that satisfies this relation?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 40P: Obtain the values of vapor pressures of alcohol, water, and glycerin at a room temperature of 20 C.

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Question

Any help will be appreciated

Shown here is a narrow pipe open to the atmosphere at the top. Initially, there
is steady-state flow in the pipe, until the pipe breaks on the right side of the
horizontal portion, and the fluid starts to flow out. Assume that only the
horizontal portion of the pipe has high resistance. Explain what happens once
the fluid starts to flow out into the atmosphere by answering the questions
below:
1) Explain why this is no longer a steady-state flow system.
2) Obtain an expression for current by applying Bernoulli's equation from the
top of the pipe to the location of the leak on the bottom right. Assume
there is always liquid in the horizontal portion of the pipe.
R
3) Bernoulli's equation assumes that the current I is always positive. Recall that current is the rate
of change of volume with time. In this case, does the volume decrease or increase with time?
Based on your answer adjust the sign in front of I. Then, express I in terms of the rate of change
of volume.
4) Express volume in the equation from 3) in terms of height and area.
5) The equation you found in 4) should relate the rate of change of height to the height itself. Can
you think of a function that satisfies this relation?

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