# Work - Energy Principle Application to Fluid Flow

• I
• Dario56
In summary: This is a good point. If you are doing a control volume analysis, you would need to account for the mass flow and use Newton's laws in a more simplified form.
Dario56 said:
It is true that forces aren't summed in these derivations.
Then that objection doesn’t apply.

Dario56 said:
However, to apply work - energy principle,
This derivation doesn’t apply the work - energy principle.

This is very frustrating. I asked you for an example of a derivation that you object to. Any derivation that exemplified the problems. You posted a link to the derivation in Wikipedia. But so far that derivation does not do anything that you are complaining about.

At this point this thread is useless. I am going to close it. You are free to post a new thread on this topic. When you do so, you need to link to a specific derivation. You should provide exact quotes from the derivation highlighting the problematic statements. That would be a solid basis for a productive thread.

berkeman
<h2>1. What is the work-energy principle?</h2><p>The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. In other words, when a force is applied to an object, it either speeds up or slows down, resulting in a change in its kinetic energy. This principle is applicable to all types of energy, including fluid flow.</p><h2>2. How is the work-energy principle applied to fluid flow?</h2><p>In fluid flow, the work-energy principle is used to determine the amount of work done by a fluid as it flows through a system. This can be calculated by multiplying the force exerted by the fluid by the distance it travels. This work is then converted into kinetic energy, which can be used to measure the velocity and pressure of the fluid.</p><h2>3. What are some common applications of the work-energy principle in fluid flow?</h2><p>The work-energy principle is commonly used in the design of fluid systems, such as pumps, turbines, and pipes. It is also used in the analysis of fluid flow in various industries, including aerospace, automotive, and hydraulic engineering.</p><h2>4. How does the work-energy principle affect the efficiency of a fluid system?</h2><p>The work-energy principle is essential in determining the efficiency of a fluid system. By calculating the work done by the fluid and comparing it to the work input, the efficiency of the system can be determined. A higher efficiency indicates that less energy is being wasted, resulting in a more effective fluid system.</p><h2>5. Can the work-energy principle be applied to both compressible and incompressible fluids?</h2><p>Yes, the work-energy principle can be applied to both compressible and incompressible fluids. However, the calculations may differ slightly depending on the type of fluid. In compressible fluids, the change in kinetic energy is also affected by changes in pressure, while in incompressible fluids, the change in kinetic energy is primarily due to changes in velocity.</p>

## 1. What is the work-energy principle?

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. In other words, when a force is applied to an object, it either speeds up or slows down, resulting in a change in its kinetic energy. This principle is applicable to all types of energy, including fluid flow.

## 2. How is the work-energy principle applied to fluid flow?

In fluid flow, the work-energy principle is used to determine the amount of work done by a fluid as it flows through a system. This can be calculated by multiplying the force exerted by the fluid by the distance it travels. This work is then converted into kinetic energy, which can be used to measure the velocity and pressure of the fluid.

## 3. What are some common applications of the work-energy principle in fluid flow?

The work-energy principle is commonly used in the design of fluid systems, such as pumps, turbines, and pipes. It is also used in the analysis of fluid flow in various industries, including aerospace, automotive, and hydraulic engineering.

## 4. How does the work-energy principle affect the efficiency of a fluid system?

The work-energy principle is essential in determining the efficiency of a fluid system. By calculating the work done by the fluid and comparing it to the work input, the efficiency of the system can be determined. A higher efficiency indicates that less energy is being wasted, resulting in a more effective fluid system.

## 5. Can the work-energy principle be applied to both compressible and incompressible fluids?

Yes, the work-energy principle can be applied to both compressible and incompressible fluids. However, the calculations may differ slightly depending on the type of fluid. In compressible fluids, the change in kinetic energy is also affected by changes in pressure, while in incompressible fluids, the change in kinetic energy is primarily due to changes in velocity.

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