Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at Re U = 50,000: In addition, Laufer measured the following data for mean velocity in fully developed turbulent pipe flow at Re U = 500,000: Fit each set of data to the “power-law” profile for turbulent flow, Eq. 8.22, and obtain a value of n for each set. Do the data tend to confirm the validity of Eq. 8.22? Plot the data and their corresponding trendlines on the same graph.
Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at Re U = 50,000: In addition, Laufer measured the following data for mean velocity in fully developed turbulent pipe flow at Re U = 500,000: Fit each set of data to the “power-law” profile for turbulent flow, Eq. 8.22, and obtain a value of n for each set. Do the data tend to confirm the validity of Eq. 8.22? Plot the data and their corresponding trendlines on the same graph.
Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at ReU = 50,000:
In addition, Laufer measured the following data for mean velocity in fully developed turbulent pipe flow at ReU = 500,000:
Fit each set of data to the “power-law” profile for turbulent flow, Eq. 8.22, and obtain a value of n for each set. Do the data tend to confirm the validity of Eq. 8.22? Plot the data and their corresponding trendlines on the same graph.
Fluid Mechanics Laboratory Experiment No.5 Pitot Static Tube The Discussion 2 — When the pitot tube is moved vertically inside the pipeline, why does it yield different flow velocities? Explain 3 — If the pitot tube is not perfectly aligned with the current direction, it produces errors in the measurements of static pressure and total (pool) pressure, Why? Explain. 4 — When flow velocity increases, it alters the shape of the flow velocity profile. Clarify 5 — What are the advantages and disadvantages of the pitot static tube. 6 — Does altering fluid temperature influences the results obtained by pitot static tube? clarify
A Francis radial-flow hydroturbine is being designed with the following dimensions: r2 = 2.00 m, r1 = 1.42 m, b2 = 0.731 m, and b1 = 2.20 m. The runner rotates at n. = 180 rpm. The wicket gates turn the flow by angle ?2 = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle ?1 = 10° from radial. The volume flow rate at design conditions is 340 m3 /s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the turbine specific speed of the turbine. Provide answers in both dimensionless form and in customary U.S. units. Is it in the normal range for a Francis turbine? If not, what type of turbine would be more appropriate?
A Francis radial-flow hydroturbine is being designed with the following dimensions: r2 = 2.00 m, r1 = 1.42 m, b2 = 0.731 m, and b1 = 2.20 m. The runner rotates at n. = 180 rpm. The wicket gates turn the flow by angle ?2 = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle ?1 = 10° from radial. The volume flow rate at design conditions is 340 m3 /s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles ?2 and ?1, respectively, and predict the power output (MW) and required net head (m). Is the design feasible?
Chapter 8 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY