Pressure in horizontal rotating tube

In summary, the question is about which end of a horizontal tube filled with an ideal gas will have a higher pressure when rotating on an axis in a horizontal plane. The equation P.A= m .w^2 .r is used to determine that the free end of the tube will have a higher pressure due to the centripetal force exerted by the gas. This is assuming that the tube is closed and the liquid will exert a force on the free end.
  • #1
jonny23
33
0

Homework Statement


If there is a horizontal tube rotating on axis in horizontal plane. it is filled with an ideal gas , So which end will the pressure be higher ?
the end on axis?? or the free end

Homework Equations



P.A= m .w^2 .r

The Attempt at a Solution



i think the free end should have higher pressure which provides centripetal force[/B]
 
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  • #2
jonny23 said:

Homework Statement


If there is a horizontal tube rotating on axis in horizontal plane. it is filled with an ideal gas , So which end will the pressure be higher ?
the end on axis?? or the free end

Homework Equations



P.A= m .w^2 .r

The Attempt at a Solution



i think the free end should have higher pressure which provides centripetal force[/B]
Yes.
 
  • #3
but will the liquid exert a force on free end of tube ??
 
  • #4
jonny23 said:
but will the liquid exert a force on free end of tube ??
Liquid?
I assume it's a closed tube, so yes the end of the tube will exert a force on the gas.
 

Related to Pressure in horizontal rotating tube

1. What is the concept of pressure in a horizontal rotating tube?

The concept of pressure in a horizontal rotating tube refers to the force exerted by the fluid inside the tube on its walls. This force is a result of the fluid's velocity and density, and it affects the behavior of the fluid and the tube itself.

2. How does pressure change in a horizontal rotating tube?

In a horizontal rotating tube, pressure increases as the fluid moves towards the outer wall due to the centrifugal force. This is known as the radial pressure gradient. At the same time, the pressure decreases towards the inner wall due to the Coriolis force. This results in a curved pressure profile along the length of the tube.

3. What factors affect pressure in a horizontal rotating tube?

The pressure in a horizontal rotating tube is affected by various factors including the angular velocity of the tube, the fluid's density and viscosity, the tube's radius, and the fluid's velocity. These factors determine the magnitude and distribution of pressure within the tube.

4. What is the significance of pressure in a horizontal rotating tube?

The pressure in a horizontal rotating tube is essential in understanding the behavior of fluids in rotating systems. It helps in designing and optimizing industrial processes such as centrifuges and centrifugal pumps. It also plays a crucial role in analyzing the flow of fluids in curved pipes and channels.

5. How is pressure measured in a horizontal rotating tube?

Pressure in a horizontal rotating tube can be measured using pressure sensors placed at different points along the tube. These sensors can provide real-time data on pressure distribution, which can be used to calculate the forces acting on the fluid and the tube. Other methods include using manometers or pressure gauges to measure the pressure at a single point in the tube.

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