Vacuum Pump in a Pipe System

In summary: Additionally, you can use the principle of impulse to calculate the final velocity and displacement of the container in the pipe system. In summary, to calculate the acceleration, velocity, and displacement of the container in the pipe system, you will need to use the equations P = F/A and the Bernoulli's equation, as well as the principle of impulse.
  • #1
CharlesL
17
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I am trying to fit a vacuum pump at one end of a pipe system and a cylindrical container with a size that has minimal clearance with the inner pipe wall would be inserted at the inlet to the pipe system.

The purpose of the vacuum pump is to create a pressure difference so that the lower pressure region at the vacuum pump would cause the higher atmospheric pressure to force its way to the low pressure region and the force would be used to push or move the cylindrical container in the pipe system.

My aim is to calculate the acceleration, velocity and displacement of the container in the pipe at any instant.

I wonder if it is fine to calculate the force acting on the container due to the pressure difference by using the equation P = F / A where P is the pressure difference between the atmospheric pressure and the low pressure region at the vacuum pump, A is the area of the container and F is the force acting on the container.

I was thinking of applying the principle of impulse to the container to calculate the effect of force acting on the container with respect to time. However, I notice that the vacuum pump would reduce the pressure gradually and would only reach the final vacuum pressure after the evacuation time. Please advice on how to calculate the force due to the pressure difference at the instant the pump is switched on until the final vacuum pressure.


Thanks

Charles
 
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  • #2
Yes, you can use the equation P = F/A to calculate the force acting on the container due to the pressure difference. To calculate the effect of force acting on the container with respect to time, you will need to combine this equation with the Bernoulli's equation, which states that the static pressure in a moving fluid is equal to the dynamic pressure plus the atmospheric pressure. This will allow you to calculate the dynamic pressure at any given time, which will then give you an equation for the force acting on the container with respect to time.
 

What is a vacuum pump and how does it work?

A vacuum pump is a device that removes gas molecules from a closed system, creating a partial vacuum. It works by creating a low pressure area, causing the gas molecules to move from the high pressure area to the low pressure area, thus reducing the overall pressure in the system.

What is the purpose of a vacuum pump in a pipe system?

The main purpose of a vacuum pump in a pipe system is to maintain a consistent level of vacuum pressure throughout the system. This is essential for a variety of applications, such as in laboratories, industrial processes, and medical devices.

What are the types of vacuum pumps commonly used in pipe systems?

The two most commonly used types of vacuum pumps in pipe systems are rotary vane pumps and scroll pumps. Rotary vane pumps use rotating blades to create a vacuum, while scroll pumps use two spiral-shaped scrolls to compress and move gas molecules out of the system.

What factors should be considered when choosing a vacuum pump for a pipe system?

When choosing a vacuum pump for a pipe system, factors such as the required vacuum level, flow rate, and compatibility with the gas being pumped should be considered. Other factors include the size and cost of the pump, as well as its maintenance requirements.

How can the performance of a vacuum pump in a pipe system be optimized?

To optimize the performance of a vacuum pump in a pipe system, proper maintenance and regular cleaning are essential. It is also important to choose a pump that is appropriate for the specific application and to ensure that all components of the system are properly sealed to prevent air leaks.

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