Pressure in Flow Work (u + Pv)

In summary, the pressure used in flow work is the pressure of the fluid because the two pressures have to match at the boundary of the control volume. This means that in a closed system, the external pressure always matches the gas pressure at the piston face. However, for an irreversible deformation, the pressure in the cylinder is not uniform and the average pressure in the cylinder may not be equal to the pressure at the piston face.
  • #1
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Why is the pressure used in flow work the pressure of the fluid? If the fluid was say at 10kPa and the external pressure was at 0Pa, why don't we use the 0Pa in our calculations for flow work, since it's the external pressure that's the resistance? Or is it not possible to have this difference at all in fluid and external pressure?
 
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  • #2
The two pressures have to match at the boundary of the control volume. Pressure is continuous.

In a closed system, the external pressure always matches the gas pressure at the piston face. It is just that, for an irreversible deformation, the pressure in the cylinder is not uniform and the average pressure in the cylinder is not equal to the pressure at the piston face.
 

Related to Pressure in Flow Work (u + Pv)

1. What is pressure in flow work?

Pressure in flow work refers to the force exerted by a fluid on the walls of a container or pipe as it flows through it. It is a measure of the amount of force per unit area that the fluid exerts.

2. How is pressure in flow work calculated?

Pressure in flow work is calculated by multiplying the density of the fluid (ρ) by the velocity of the fluid (v) squared and then adding the product of the pressure (P) and the specific volume (v).

3. Why is pressure in flow work important?

Pressure in flow work is important because it is a key factor in determining the behavior of fluids as they move through a system. It can impact the flow rate, velocity, and overall efficiency of a system.

4. How does pressure in flow work relate to Bernoulli's principle?

Pressure in flow work is a key component of Bernoulli's principle, which states that there is an inverse relationship between the speed of a fluid and its pressure. As fluid velocity increases, pressure decreases, and vice versa.

5. How can pressure in flow work be controlled or manipulated?

Pressure in flow work can be controlled or manipulated through various methods such as changing the diameter of the pipe, altering the velocity of the fluid, or using valves and pumps to regulate the pressure within a system.

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