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Author Topic: The Crookes Radiometer as a teaching tool  (Read 5720 times)
Steve Hansen
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« on: February 27, 2008, 11:16:36 AM »

The standard radiometer that you get at science supply or home decorations house is already pumped to its proper operating pressure (somewhere around 50 mTorr give or take). The result is well known, shine light on the vanes and they spin in a direction away from the dark sides of the 4 vanes. (Kind of like a politician - shine light on one and you get lots of spin.)

Many moons ago I described a simple adaptation to allow one to connect a standard $8 radiometer to a vacuum pump. Some more detail may be found in "The First Five Years" but the scheme is as shown here:


As one would expect, when the device is pumped to below something like 100 mTorr, the vanes will begin to spin when illuminated. They really wind up at a few 10s of mTorr below this.

The operation of the radiometer is widely misunderstood (as I was until a physicist struck me on the upside of the head). The original argument that the spinning action is due to the pressure exerted by light is, of course, wrong and easily disproved by the direction of rotation. The most widely held belief is that the motion is due to molecular recoil from the dark (warmer) sides of the vanes. This too is incorrect. The rotation is really due to thermal creep aka thermal transpiration. I won't go into that here as there are good explanations on the web e.g. http://math.ucr.edu/home/baez/physics/General/LightMill/light-mill.html. In brief, gas molecules are "pumped" from the cooler side to the warmer side. The flow past the vane edges is what creates the action.

Now, if you are careful during the pumpdown cycle you will see some interesting effects. Assuming that the innards of the device have been exposed to room air, when you get to around 1 Torr the vanes will rotate when strongly illuminated (I use a tactical flashlight with a xenon bulb). This is almost certainly due to outgassing.

As the pressure goes a bit lower, the vanes will not move and this remains the case until you get to about 0.1 Torr. Once the pressure is below this, the vanes will spin, slowly at first. The next effect that can be observed is, as the light continues to shine, the vanes will stop spinning. If you look at the pressure curve, the pressure rises (more outgassing) and when it rises enough the spinning will stop. You can continue this for a period of time and eventually the heat from the flashlight will complete the outgassing process and the vanes will spin continuously. 

This makes a rather nice demo of the interplay of outgassing and thermal transpiration.

Is there any practical purpose to this? There is a device called a Knudsen pump that consists of small volumes interconnected with narrow passageways (the passageways are equivalent to the vane edges). Alternating volumes are warm and cold. The net effect of this is a real pumping action. Micromachined Knudsen pumps are being explored as miniature vacuum pumps.

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Steve Hansen
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« Reply #1 on: March 01, 2008, 08:12:27 PM »

I just discovered an article in the Journal of Vacuum Science and Technology A on the action of the radiometer. The issue was JVSTA, Vol. 23, No. 6, pp. 1531-1534, Nov 2005. The following is the abstract:

Experimental and numerical study of the optimal operation pressure within Crookes radiometer

Zhangde Lu. Department of physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, People's Republic of China

The optimal operation pressure within Crookes radiometer is studied using experimental and direct simulation Monte Carlo (DSMC) method. The rotational rates of the rotor in the Crookes radiometer versus pressure are measured using a freely rotating rotor with two different dimensions, one is called a 20  mm rotor, which the side length of rotor blade is 20  mm, and the other is called a 10  mm one. The experiment results indicate that the optimal operation pressure varies with the side length of rotor blade and appears at 0.1  Pa and 3  Pa in the cases of 20  mm and 10  mm rotors, respectively. The pressure difference distributions of gas on the back and front surfaces of the rotor blades are simulated by DSMC method. It is indicated that the maximum pressure differences appear at 0.1–0.5  Pa in the case of the 20  mm rotor, and at 2–5  Pa in the case of the 10  mm rotor, respectively. The results are consistent with the experiment results. The velocity vector fields of gas within Crookes radiometer with the 20  mm rotor under four different pressures are also presented.

Most commercial radiometers have plates with dimensions between 10 and 20 mm (one I just checked looks like about 15 mm). On the author's plot of rotational velocity vs pressure, the 10 mm plate  peaks at around 3 Pa (for Torrheads, that's 23 mTorr). The 20 mm plate peaks at 0.2 Pa (1.5 mTorr). The rotors will spin at much higher pressures - limits look like about 70 mTorr for the 10 mm plate, 150 mTorr for the 20 mm plate.
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roverfixer
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« Reply #2 on: April 20, 2008, 12:15:29 AM »

Got the aforementioned paper (Zhangde Lu).  In it, the author reports that a radiometer with 10mm square blades is measured spinning at 60 rad/s.  The author also states to be using a 60W incandescant bulb.  From this data, could the FORCE (Nm? Torque? HP?) acting upon the vanes be determined?  If so, wouldn't one also be able to determine the efficiency of the radiometer for producing rotational energy.

If so, could someone please post the formulae so the same performance data for the 20mm vanes be produced?  (FYI, according to the graph in the paper, the angular velocity data is as follows:

10mm vane @ 5 Pa = 60 rad/s
20mm vane @ 5 Pa = 35 rad/s* (approx.  +/-5)
Equal for both:  60W bulb placed 150mm from vanes.

According to Solidworks, each 10mm x 10mm x 0.1mm vane has a mass of 0.03g.  Times 4 =.12g.
   "   "    "     "    "    "  , each 20mm x 20mm x 0.1mm vane has a mass of 0.11g.  Times 4 = .44g.
I sketched out the glass cap design of my "novelty" radiometer (the design of the cap isn't stated in the paper).  It's mass comes in at 0.18g.  Again, it isn't stated in the paper but I would imagine the only change would be the 'weight' of the vanes, not the cap and attaching hardware.

I've read most of Crookes' Society papers but this is the first that actually stated vane dimensions and RPM.

The mass, pressure, RPM ratios are interesting.


Thanks
« Last Edit: April 20, 2008, 08:18:35 PM by roverfixer » Logged
Steve Hansen
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« Reply #3 on: May 04, 2008, 09:11:24 AM »

Not a simple set of calculations but I believe you would have to start by calculating the drag on the vanes at the given pressure and rotational speed. Then it becomes a balance problem between the propelling force (transpiration effect) and drag.
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glugsleK73
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« Reply #4 on: October 16, 2009, 05:56:38 AM »

Hello there,
I am about to start Bachelor of Early Childhood Education by distance education. Has anyone studied teaching by DE and can you offer any tips for being successful? What was the hardest thing about it?
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verdatum
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« Reply #5 on: October 20, 2009, 06:14:24 PM »

Hello there,
I am about to start Bachelor of Early Childhood Education by distance education. Has anyone studied teaching by DE and can you offer any tips for being successful? What was the hardest thing about it?

What a curious question to ask in a vacuum technology forum...while hijacking a stale thread discussing the Crookes Radiometer no less.  If you're using an online university, you may want some more experience using the Internet before you begin classes.
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Steve Hansen
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« Reply #6 on: November 02, 2009, 09:04:41 AM »

At least it's not indecent!
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