Water flows from a pressurized tank, through a pipe of diameter D, exits from a nozzle of diameter d, and rises a height H above the tank bottom. The water depth in the tank is h. Determine the relationship between the gage pressure of the in the tank and H. If the gage reads 10 psi, d = 2 in, D = 4 in, and h = 3 ft, calculate the jet height H.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Water flows from a pressurized tank, through a pipe of diameter D, exits from a nozzle of diameter d, and rises a height H above the tank bottom. The water depth in the tank is h. Determine the relationship between the gage pressure of the in the tank and H. If the gage reads 10 psi, d = 2 in, D = 4 in, and h = 3 ft, calculate the jet height H.
The diagram illustrates a fluid dynamics system involving air pressure and water flow. Here's an explanation of the components and the overall setup:

- The left section of the diagram shows a closed container filled with water and sealed at the top with air. Above the container, there is a pressure gauge indicating the air pressure inside.

- The container is filled with water up to a height represented by "h."

- Attached to the container is a narrow pipe that extends downward and then upward before opening to the atmosphere. 

- Water flows through the pipe and exits vertically. The pipe has two sections of different diameters: the larger diameter "D" and the smaller diameter "d" at the opening.

- The height to which the water is ejected from the pipe is indicated as "H."

This setup illustrates principles of fluid dynamics, including the effects of air pressure on water flow and the relationship between the diameters of the pipe and the velocity and height of the water jet.
Transcribed Image Text:The diagram illustrates a fluid dynamics system involving air pressure and water flow. Here's an explanation of the components and the overall setup: - The left section of the diagram shows a closed container filled with water and sealed at the top with air. Above the container, there is a pressure gauge indicating the air pressure inside. - The container is filled with water up to a height represented by "h." - Attached to the container is a narrow pipe that extends downward and then upward before opening to the atmosphere. - Water flows through the pipe and exits vertically. The pipe has two sections of different diameters: the larger diameter "D" and the smaller diameter "d" at the opening. - The height to which the water is ejected from the pipe is indicated as "H." This setup illustrates principles of fluid dynamics, including the effects of air pressure on water flow and the relationship between the diameters of the pipe and the velocity and height of the water jet.
Expert Solution
Step 1: Determine the given data

straight P equals 10 space psi
straight d equals 2 space in
straight D equals 4 space in
straight h equals 3 space ft
To space determine colon
The space relationship space between space the space gauge space pressure space and space straight H.
The space jet space height space straight H

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