Calculating Gauge Pressure in a Steady Water Flow System

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In summary, the conversation discusses the flow of water from an open tank and the elevations of three points in relation to the tank and pipe. The discharge rate is determined to be 0.2 m^3/s and the question asks for the gauge pressure at point 2. The conversation also mentions the use of Bernoulli's equation to solve the problem, but without a clear description or diagram, it is difficult to provide an accurate answer.
  • #1
Shlllink
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Water flows steadily from an open tank. The elevation of point 1 is 10.0 m, and the elevation of points 2 and 3 is 2.00 m. The cross-sectional area at point 2 is .048 m^2; at point 3 it is .016 m^2. The area of the tank is very large compared with the cross-sectional area of the pipe.

I already got part A which tells us that the discharge rate is .2 m^3/s

Part B asks What is the gauge pressure at point 2?

I'm familiar with Bernoulli's equation and I thought I knew how to do the problem, but some how I got it wrong enough times to bring me down to one guess, so I want to be sure about what I'm doing.
 
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  • #2
Shlllink said:
Water flows steadily from an open tank. The elevation of point 1 is 10.0 m, and the elevation of points 2 and 3 is 2.00 m. The cross-sectional area at point 2 is .048 m^2; at point 3 it is .016 m^2. The area of the tank is very large compared with the cross-sectional area of the pipe.

I already got part A which tells us that the discharge rate is .2 m^3/s

Part B asks What is the gauge pressure at point 2?

I'm familiar with Bernoulli's equation and I thought I knew how to do the problem, but some how I got it wrong enough times to bring me down to one guess, so I want to be sure about what I'm doing.
You will have to describe what points 1, 2 and 3 are in relation to the tank and pipe and what the cross-sectional areas refer to (eg. tank, pipe).


AM
 
  • #3
i don't think there's enough there to tell, but if that discharge rate is for point 2 you could say that the speed of the water is due to the pressure and equate the velocity and pressure terms from the bernoulli. then solve for pressure.

v=Q/A (dischargre rate over area)

(v^2)/2=p/rho

that might work but impossible to say without a better description of question/diagram.
 

FAQ: Calculating Gauge Pressure in a Steady Water Flow System

What is pressure in a tank/pipe?

Pressure in a tank/pipe refers to the amount of force exerted per unit area on the walls of the tank or pipe due to the presence of a fluid or gas inside.

How is pressure measured in a tank/pipe?

Pressure in a tank/pipe is typically measured using a pressure gauge, which is a device that measures the force exerted by the fluid or gas in the tank/pipe and displays it in units of pressure, such as pounds per square inch (psi) or pascals (Pa).

What factors affect pressure in a tank/pipe?

The pressure in a tank/pipe is affected by several factors, including the volume of the tank/pipe, the amount and type of fluid or gas inside, the temperature, and the size and shape of the tank/pipe.

How does pressure change in a tank/pipe?

The pressure in a tank/pipe can change in several ways, including changes in the amount or type of fluid or gas inside, changes in temperature, and changes in the shape or size of the tank/pipe. In general, an increase in any of these factors will result in an increase in pressure, while a decrease will result in a decrease in pressure.

Why is pressure in a tank/pipe important?

Pressure in a tank/pipe is important because it can affect the flow of fluids or gases within the system, as well as the structural integrity of the tank/pipe itself. Understanding and controlling pressure is essential in many industries, such as oil and gas, chemical processing, and water management.

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