Can rotational speed increase gas density in a cylinder?

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Discussion Overview

The discussion revolves around the concept of whether rotational speed can increase gas density in a cylinder, particularly focusing on the effects of centripetal forces and temperature. Participants explore theoretical implications, energy recovery, and the mechanics of gas behavior under rotation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if rotating a cylinder filled with gas at a high speed could increase the gas density, suggesting a relationship between centripetal forces and density distribution.
  • Another participant states that significant rotational speeds, comparable to molecular speeds (~500 m/s for air), are necessary to observe any meaningful effects on density.
  • A different viewpoint suggests the possibility of recovering energy from temperature changes if the cylinder moves, although this claim is met with skepticism regarding the feasibility of such energy recovery.
  • Concerns are raised about the energy requirements for rotation and the lack of clarity on how pressure gradients might facilitate energy recovery.
  • One participant proposes that centripetal forces could act as a separator, leading to uneven gas distribution, but questions the efficiency of energy recovery at high speeds.
  • Another participant argues against the possibility of recovering thermal energy, citing the second law of thermodynamics and entropy considerations.
  • Some participants acknowledge that while gas centrifugation is possible, continuous energy recovery is not feasible, and any energy recovered cannot exceed the energy input.
  • Discussion includes references to specific systems like gas centrifuges and theoretical models involving screws and gravity, with participants debating the mechanics of pressure differences and torque generation.

Areas of Agreement / Disagreement

Participants express multiple competing views on the feasibility of increasing gas density through rotation and the potential for energy recovery. The discussion remains unresolved, with no consensus on the effectiveness or mechanics of the proposed ideas.

Contextual Notes

Participants highlight limitations related to assumptions about energy recovery, the dependence on specific conditions (such as the presence of an external cold reservoir), and the unresolved nature of the mathematical and physical principles involved.

Gh778
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Hi,

I would like to know if it's possible to turn a cylinder full of gas (air for example) at W rd/s for have more density up ? The first drawing show the basic system turn around the center. The second drawing show the density of gas like I think it can be, black=more density, white=less density. Is it correct ? The air is at 20°C, I'm interesting about the effect of temperature with centripetal forces.
 

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To get a significant effect, the cylinder needs a velocity comparable to the speed of the molecules inside, this is ~500m/s for air. If the height of the cylinder is small compared to the radius, you need even more.
If you can reach this, or if very small effects are fine, it might be interesting to look at actual numbers.
 
Ok, the speed must be high. In this case (theory study), is it possible to recover energy from temperature if the cylinder move up a little (green parts turn only) ? I think we recover energy from rotational speed in the same time but it's the energy we have gave.
 

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The rotation needs a lot of energy. And I do not see why/how the pressure gradient should help in any way.
 
I'm not sure, but I see the centripetal forces like a separator, the cylinder (black/grey color) has one surface with gas not the other (or less gas) and the force apply from temperature is more at one surface than other. It's not the pressure gradient that is interesting but the fact that the gas is more at one surface than other. Maybe the efficiency is not good due to the high speed but theorically is it possible to recover energy ?
 
Recover which energy?
Thermal energy? No.
Energy from the rotation of the whole setup? Maybe, if you have some connection to the environment, but I would do it in a different way.

Your pressure gradients just move mass away from the axis of rotation - you can get the same effect if you shift your whole cylinder a bit.
 
Why is not possible to recover thermal energy, could you explain ?
 
Without an external cold reservoir, this would reduce the total entropy and violate one of the fundamental laws of physics. While it can be interesting to study thermodynamic devices to see why they do not work, they cannot reduce entropy. This can be proven from deeper theories in statistical physics. If your device could reduce entropy, there would be some fundamentally new thing at the microscopic level, doing this. While it is not possible to completely exclude that possibility: In the framework of ordinary thermodynamics, your device will not reduce entropy.

You could calculate all the thermodynamic processes here, and get the same result, but as you can see there is a nice shortcut. It does not work.
In addition, I do not even see how you get the idea that any thermal energy would be used in any way.
 
Yes, you can centrifuge a gas. Yes, you can recover heat in the process. No, it cannot be recovered continuously, nor can you recover more energy than you put in.
 
  • #10
You should look up the gas centrifuge, particularly of the Zippe-type.
 
  • #11
No, it cannot be recovered continuously
I think with a screw and the help from gravity this system can give a torque (for 180° after reverse the direction of screw around its axis). Gravity give more atoms at bottom to the gas, so more chocs from heating. I don't say it's the difference of pressure that give torque but the number of chocs is different due to the difference of pressure. Imagine a screw with 50 m of height, the difference of pressure due to gravity is about 25 Pa. When the screw turn around high circle of 180°, it turn around its axis of 180°.
 

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  • #12
Only with gravity. I draw pressure curves from gravity with attraction in 1/d². With a screw, green points can't compensate themselves and magenta points can't compensate themselves too. I don't know how all these small torques can compensate themselves.
 

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  • #13
Gh778 said:
With a screw, green points can't compensate themselves and magenta points can't compensate themselves too.
There is no reason to expect that.
I don't know how all these small torques can compensate themselves.
Integrate, or use energy momentum conservation.
 
  • #14
There is no reason to expect that.

Red lines on my last drawing are lines where pressure are equal. Screw exist only at right on the drawing. I exaggerate the vector gravity 1/d².
 

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