Calculating Pressure in Pipes: How to Solve for Unknown Entrance Pressure?

In summary, the author is asking for help with finding the pressure at the entrance of a tank, as it is not given in the problem. They mention using an equation and a given depth to solve for the pressure. It is unclear which points on the streamline they are referring to, but if the pipe axis is at z=0, then z=10 represents the water surface and the pressure there can be set to zero.
  • #1
foo9008
678
4

Homework Statement


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in this question , the Pressure at entrance is not given , how to do this?

Homework Equations

The Attempt at a Solution


does the author mean the pressure at entrance = pressure at exit
 
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  • #2
foo9008 said:

Homework Statement



in this question , the Pressure at entrance is not given ,
You are expected to find it from the depth of the tank.
 
  • #3
billy_joule said:
You are expected to find it from the depth of the tank.
i am going to use this equation to solve this question , where z = 10 m what is the pressure at ENTRANCE ? it's not given
hMiwoG0.png

p/s : hf = 0
 
  • #4
It's unclear where the two points on your streamline are.pipe entry and exit? Or free surface and pipe exit?
If z=0 is along the pipe axis then z=10 is the water surface, and the pressure there is equal to the exit pressure so both can be set to zero.
 

Related to Calculating Pressure in Pipes: How to Solve for Unknown Entrance Pressure?

1. How do you calculate entrance pressure in pipes?

To calculate entrance pressure in pipes, you can use the Bernoulli's equation, which takes into account the fluid velocity, density, and height difference between the entrance and exit of the pipe. You can also use the Darcy-Weisbach equation, which takes into account factors such as pipe roughness and friction losses.

2. What is the difference between static and dynamic entrance pressure?

Static entrance pressure is the pressure exerted by a fluid at rest at the entrance of a pipe. Dynamic entrance pressure, on the other hand, is the pressure exerted by a moving fluid at the entrance of a pipe. It takes into account the fluid's velocity and kinetic energy.

3. How does pipe diameter affect entrance pressure?

The diameter of a pipe does not directly affect the entrance pressure. However, a smaller pipe diameter may result in higher velocity and friction losses, which can impact the overall entrance pressure in the pipe.

4. What factors can affect entrance pressure in pipes?

Entrance pressure in pipes can be affected by various factors such as fluid density, velocity, viscosity, pipe diameter, pipe roughness, and any changes in elevation or direction of the pipe. Other external factors such as temperature and pressure can also play a role.

5. How do you solve for unknown entrance pressure in a pipe system?

To solve for unknown entrance pressure in a pipe system, you can use the equations mentioned earlier (Bernoulli's equation or Darcy-Weisbach equation) and plug in the known values for fluid properties and pipe characteristics. You may also need to use additional equations to account for losses due to fittings, valves, or other components in the pipe system.

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