Pressure difference in a horizontal constant area pipe

In summary, the conversation discusses the application of various equations, including mass flow, momentum, and Bernoulli's principle, to a problem involving steady state flow. The individual is seeking clarification on how to make correct assumptions and notes that the amount of liquid entering and exiting the pipe must be equal in steady operation. They also mention the effects of friction on velocity and pressure.
  • #1
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Homework Statement



see attachment

Homework Equations


not sure if these are applicable because i don't think its steady state anymore
mass flow in=mass flow out
sum of forces in x direction= rate of momentum in-rate of momentum out
bernoulli's p+0.5ρ(v^2)= constant

The Attempt at a Solution


2.2a No
2.2b true, true, false as bernoullis assumption states inviscid flow, true if the given equations are true, true as the fluid is slowing down so resultant force is going in the left so pressure force at 2 is greater then pressure 1.
I am confused on making the correct assumptions could someone help me please?
 

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  • #2
2B is false. The amount of liquid entering the pipe has to be equal to the amount of liquid exiting it in steady operation. Friction won't cause a decrease in velocity (at the wall the liquid isn't moving anyway for viscous fluids). The friction will cause a head loss though. So you see the impact in a decrease in pressure This energy is converted into heat. Maybe now you can get the other parts as well?
 

1. What is pressure difference in a horizontal constant area pipe?

The pressure difference in a horizontal constant area pipe refers to the difference in pressure between two points along the length of the pipe. This difference in pressure is caused by factors such as fluid flow, pipe length, and pipe diameter.

2. How is pressure difference calculated in a horizontal constant area pipe?

The pressure difference in a horizontal constant area pipe can be calculated using the Bernoulli's equation, which takes into account the fluid velocity, density, and height difference between two points along the pipe.

3. What factors affect pressure difference in a horizontal constant area pipe?

The main factors that affect the pressure difference in a horizontal constant area pipe include fluid velocity, pipe length, pipe diameter, and fluid density. Additionally, external factors such as elevation changes and obstructions in the pipe can also impact the pressure difference.

4. How does pressure difference affect the flow of fluid in a horizontal constant area pipe?

The pressure difference in a horizontal constant area pipe directly affects the flow of fluid through the pipe. A larger pressure difference can result in a higher fluid velocity and a greater flow rate, while a smaller pressure difference can slow down the flow of fluid.

5. How can pressure difference in a horizontal constant area pipe be controlled?

The pressure difference in a horizontal constant area pipe can be controlled by adjusting the fluid flow rate, pipe length and diameter, and fluid density. Additionally, using devices such as valves, pumps, and regulators can also help regulate and maintain a desired pressure difference in the pipe.

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