Problem 4 In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The valve is used to control the flow rate from the reservoir. The head loss across the valve is given as h₁ = 4V²/(2g), where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 cm². The head loss due to friction in the pipe is negligible. The elevation of the water level in the reservoir above the pipe outlet is 9 m. Find the discharge in the pipe (in m³/s). Assume a = 1.0 at all locations. Air under pressure Water Partly open valve

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter7: Seepage
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Problem 4
In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The valve is used
to control the flow rate from the reservoir. The head loss across the valve is given as h₁ = 4V²/(2g),
where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 cm². The head loss due to
friction in the pipe is negligible. The elevation of the water level in the reservoir above the pipe outlet is
9 m. Find the discharge in the pipe (in m³/s). Assume a = 1.0 at all locations.
Air under
pressure
Water
Partly open valve
Transcribed Image Text:Problem 4 In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The valve is used to control the flow rate from the reservoir. The head loss across the valve is given as h₁ = 4V²/(2g), where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 cm². The head loss due to friction in the pipe is negligible. The elevation of the water level in the reservoir above the pipe outlet is 9 m. Find the discharge in the pipe (in m³/s). Assume a = 1.0 at all locations. Air under pressure Water Partly open valve
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