Pressure at exit plane of pipe: static or total

In summary, the static pressure at the exit plane of a pipe is the pressure exerted by the fluid on a stationary surface at the exit point, while the total pressure is the sum of the static pressure and the dynamic pressure at the exit plane. The static and total pressure can be calculated using Bernoulli's equation, and both are important to accurately assess the behavior of the fluid. In certain cases, the static and total pressure can be equal at the exit plane, known as the stagnation point. The shape and size of the exit plane can also affect the static and total pressure of a pipe, with larger or more streamlined exit planes decreasing the static pressure and smaller or more abrupt exit planes increasing it. Changes in the exit plane's
  • #1
willgoat
3
0
Hi all, hope i can get some opinions here on a topic discussed at work. Flow is exiting a pipe from a chamber at P_in to outside/atmospheric with pressure patm, at say low mach number 0.05.

At the exact exit plane of the pipe, is the total pressure equal to the patm, or will it instead be the static pressure which is equal to patm? I hope i explain the query well enough. thanks.
 
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  • #2
It will be static pressure that is equal to Patm. Total pressure will be Patm plus dynamic.
 

Related to Pressure at exit plane of pipe: static or total

1. What is the difference between static and total pressure at the exit plane of a pipe?

The static pressure at the exit plane of a pipe is the pressure exerted by the fluid on a stationary surface at the exit point, while the total pressure is the sum of the static pressure and the dynamic pressure (caused by the velocity of the fluid) at the exit plane.

2. How do you calculate the static and total pressure at the exit plane of a pipe?

The static pressure can be calculated using the Bernoulli's equation, which takes into account the density, velocity, and elevation of the fluid. The total pressure can be calculated by adding the dynamic pressure (calculated using the fluid's velocity) to the static pressure.

3. Why is it important to consider both static and total pressure at the exit plane of a pipe?

The static pressure reflects the force of the fluid pushing against a surface, while the total pressure takes into account the velocity of the fluid. Both pressures are important to accurately assess the behavior of the fluid at the exit plane of a pipe.

4. Can the static and total pressure be equal at the exit plane of a pipe?

Yes, in certain cases the static and total pressure can be equal at the exit plane of a pipe. This is known as the stagnation point, where the fluid's velocity is reduced to zero and the dynamic pressure becomes zero, resulting in only the static pressure being present.

5. How does the shape and size of the exit plane affect the static and total pressure of a pipe?

The shape and size of the exit plane can have a significant impact on the static and total pressure of a pipe. A larger or more streamlined exit plane can reduce the static pressure due to a decrease in friction and turbulence, while a smaller or more abrupt exit plane can increase the static pressure. The total pressure can also be affected by changes in the exit plane's shape and size, as it can impact the fluid's velocity and therefore the dynamic pressure.

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