One of the big questions, it seems to me, about thermal effects is not so much the magnitude, but the time constant with which these effects act. What would it take to put a number on the time constant of buoyant effects?
Copper, good copper, is expensive so would an aluminium cylinder designed to resonate at 2.45 - 2.47 GHz, operated and tested for thermal effects provide time constant data that could be used in the data analysis of a given copper frustum experiment? If yes, then could a coffee can, or on oatmeal box lined with foil be used to good effect?
Just speculating on a way to determine if the thermal response is quick or slow. Use a cylinder because that should not thrust by all we currently know.
Rodal posted this back a few pages. It may or may not relate to other frustums and would probably depend on material thickness ect. It is the researchgate link. http://forum.nasaspaceflight.com/index.php?topic=39004.msg1468340#msg1468340 I think it mentioned time to buckle if I remember correctly.
Edit: I don't think much long term thrust could be had from this after thermal equilibrium is reached. The force should decrease with time as the thermal expansion decelerates. It might be helpful to know the time to thermal equilibrium.
Edit2: Also, any positive thrust signal observed due to thermal expansion should be an equal and opposite signal upon powering down. Thermal contraction would give a negative thrust.The thermal buckling paper of dr rodal and mr li's lorentz paper are quite useful in identifying potential error sources on torsional or horizontal test beds. A change in center of mass or magnetic deflection both could compromise torsional measurements.
If I might summarize (corrections encouraged) both papers claim roughly 50 micronewtons of potential tortional error force, therefore close to 100 micronewtons total. This is by coicidence the total reported torsional force by EW.
From what I've, read EW has measured single digit lorentz in their new setup but am not sure they addressed rodals buckling paper, so in summary, all we have before us is a potential torsional error force of let's say about 60 micronewtons.
Neither paper is all that useful, imho, for a vertical vector test bed, namely a balance beam which is diy territory for the most part.
I would encourage anyone to help put forth a paper or proposal that quantifies potential vertical error forces. I know shell is working on her own error analysis and I'm sure additional systemic vertical error forces would be quite useful to her and other diyers...who are growing in numbers.
Since thermal lift is the culprit in ambient air, might I suggest statistical analysis of rf power on and off conditions, possibly simplified down to an acceleration variance, such as micrometers/second. This proposal would characterize any vertical acceleration changes RF on to RF off. Statistical variances could then point to the need for more error reducing measurements such as mass or localized airflow...perhaps via schlieren photography.
Just some rambling thoughts for vertical-bound diyers. Neither dr rodal'snor mr li's papers seem to be useful for non-torsional test beds. Torsional yes, non-torsional no.

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The effects of thermal expansion can be shown to be present in both the horizontal torsional experiments as well as what you refer to as vertical balance beam experiments.This is a valid point, but for expansion to have an error produced on vertical displacenent or balance beam measurements, wouldn't the only error be caused by thermal expansion of the moment arm itself?
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The effects of thermal expansion can be shown to be present in both the horizontal torsional experiments as well as what you refer to as vertical balance beam experiments.This is a valid point, but for expansion to have an error produced on vertical displacenent or balance beam measurements, wouldn't the only error be caused by thermal expansion of the moment arm itself?
Specifically in this case of length expansion of the beam's part from pivot to test article (length L), with a test article of constant mass m and no added/removed forces, the system will measure what would be equivalent to increase in downward force (without expansion) :
F=(ΔL/L)×mg=αL×ΔT×mg
αL the linear coefficient of expansion and ΔT the (assumed bulk) temperature change
usual metals are between 10 and 20 10-6/K (10 to 20 part per million per Kelvin, or Celsius)
Meaning that for a beam spanning 1m from pivot to suspension point of a 10kg test article (mg≈100N) a 0.1°C increase will typically record same as downward force above 100µN. Just to put things into perspective quantitatively...
Now you may argue that this is assuming bulk temperature increase and along the whole beam only from pivot to test article. Right, then we can go about heating a tenth of the beam's span by 1°C (say, a part directly above the test article), to the same result. Of course anisotropic heating, conduction and temperature gradients on thin or long pieces lead to various bendings and the rich phenomenology of buckling put forward by Rodal.
I think (intuitively, could be wrong) this kind of effect is drowned in comparison with buoyant and aerodynamic forces when testing on teeter totter balances in air. But clearly relevant for tests in vacuum with higher sensitivity.
Thank you shell. At 2kW I can see why the source is remote...too much weight and thermal lift for sure. I do not visualize a center of mass change of a dangling frustum (hope I never have to use that term again) from a single point beneath a moment arm...but that's just me. Your expansion mitigations are well thought out. I would think you did this for maintaining fixed resonance rather than mass shift. Correct me if I'm wrong.
Sooo...any rf power delivery along the moment arm should take into account thermal expansion, or lengthening of the moment arm.
Chicklet keyboard...lol
Balance beam in my test is white oak, grain linear to length. Pivot point centered 53.5 inches from either end. Height is 1 inch, width is 0.75 inches. Light coating of enamel paint to inhibit moisture ingress/egress.
Thank you shell. At 2kW I can see why the source is remote...too much weight and thermal lift for sure. I do not visualize a center of mass change of a dangling frustum (hope I never have to use that term again) from a single point beneath a moment arm...but that's just me. Your expansion mitigations are well thought out. I would think you did this for maintaining fixed resonance rather than mass shift. Correct me if I'm wrong.
Sooo...any rf power delivery along the moment arm should take into account thermal expansion, or lengthening of the moment arm.
Chicklet keyboard...lol
So you planning to dangle your frustum in phase II? Ah, no you mentioned just adding insulation between the frustum and beam....
Thermal is the Gorilla in the room. We need to either fence him out as Shell is endeavouring to do, or cage him as I proposed with the cylindrical can proposal.
Thermal expansion effects on the DUT are likely very unique to each test rig. For example testing with a balance beam having the DUT suspended in a 4 point sling permits differential thermal expansion in each of the four suspension leads of the sling. Same with a 3 point sling. Same for a 2 point sling. Maybe a single point suspension like a rigid bar attached to the top center of the DUT extending upward a short distance then slung with a single lead from the balance beam. But that introduces other possible thermal effects.
Consider a 4 point sling. If one lead is heated more that the other 3, it will expand in length reducing the tension on that lead. The other 3 leads take up the slack and their tension increases. Seems to me this would shift the center of mass in the direction of the horizontal projection of the resulting force vector. This would be a very small shift but it would be multiplied by the total mass of the suspended test article.
But my thoughts here qualify as hand waving as I nor anyone else has specific data against which to measure any model of the thought experiment. I think someone has mentioned it before, "We need data."
Thank you shell. At 2kW I can see why the source is remote...too much weight and thermal lift for sure. I do not visualize a center of mass change of a dangling frustum (hope I never have to use that term again) from a single point beneath a moment arm...but that's just me. Your expansion mitigations are well thought out. I would think you did this for maintaining fixed resonance rather than mass shift. Correct me if I'm wrong.
Sooo...any rf power delivery along the moment arm should take into account thermal expansion, or lengthening of the moment arm.
Chicklet keyboard...lol
Balance beam in my test is white oak, grain linear to length. Pivot point centered 53.5 inches from either end. Height is 1 inch, width is 0.75 inches. Light coating of enamel paint to inhibit moisture ingress/egress.
Edit - 177 micronewtons of equivalent force.
Thermal is the Gorilla in the room. We need to either fence him out as Shell is endeavouring to do, or cage him as I proposed with the cylindrical can proposal.
Thermal expansion effects on the DUT are likely very unique to each test rig. For example testing with a balance beam having the DUT suspended in a 4 point sling permits differential thermal expansion in each of the four suspension leads of the sling. Same with a 3 point sling. Same for a 2 point sling. Maybe a single point suspension like a rigid bar attached to the top center of the DUT extending upward a short distance then slung with a single lead from the balance beam. But that introduces other possible thermal effects.
Consider a 4 point sling. If one lead is heated more that the other 3, it will expand in length reducing the tension on that lead. The other 3 leads take up the slack and their tension increases. Seems to me this would shift the center of mass in the direction of the horizontal projection of the resulting force vector. This would be a very small shift but it would be multiplied by the total mass of the suspended test article.
But my thoughts here qualify as hand waving as I nor anyone else has specific data against which to measure any model of the thought experiment. I think someone has mentioned it before, "We need data."
Terminate a 3 or 4 point sling into a single lead. That should reduce or eliminate any shift in center of mass associated with an unequal expansion of leads. The issue then could be that the frustum might swing to some extent do to any thrust or shift in center of mass.., but that should be identifiable as cyclical.
4-1 sling:
OK, you can tell, I get frustumated at times.
Thermal is the Gorilla in the room. We need to either fence him out as Shell is endeavouring to do, or cage him as I proposed with the cylindrical can proposal.
Thermal expansion effects on the DUT are likely very unique to each test rig. For example testing with a balance beam having the DUT suspended in a 4 point sling permits differential thermal expansion in each of the four suspension leads of the sling. Same with a 3 point sling. Same for a 2 point sling. Maybe a single point suspension like a rigid bar attached to the top center of the DUT extending upward a short distance then slung with a single lead from the balance beam. But that introduces other possible thermal effects.
Consider a 4 point sling. If one lead is heated more that the other 3, it will expand in length reducing the tension on that lead. The other 3 leads take up the slack and their tension increases. Seems to me this would shift the center of mass in the direction of the horizontal projection of the resulting force vector. This would be a very small shift but it would be multiplied by the total mass of the suspended test article.
But my thoughts here qualify as hand waving as I nor anyone else has specific data against which to measure any model of the thought experiment. I think someone has mentioned it before, "We need data."
Terminate a 3 or 4 point sling into a single lead. That should reduce or eliminate any shift in center of mass associated with an unequal expansion of leads. The issue then could be that the frustum might swing to some extent do to any thrust or shift in center of mass.., but that should be identifiable as cyclical.
Thermal is the Gorilla in the room. We need to either fence him out as Shell is endeavouring to do, or cage him as I proposed with the cylindrical can proposal.
Thermal expansion effects on the DUT are likely very unique to each test rig. For example testing with a balance beam having the DUT suspended in a 4 point sling permits differential thermal expansion in each of the four suspension leads of the sling. Same with a 3 point sling. Same for a 2 point sling. Maybe a single point suspension like a rigid bar attached to the top center of the DUT extending upward a short distance then slung with a single lead from the balance beam. But that introduces other possible thermal effects.
Consider a 4 point sling. If one lead is heated more that the other 3, it will expand in length reducing the tension on that lead. The other 3 leads take up the slack and their tension increases. Seems to me this would shift the center of mass in the direction of the horizontal projection of the resulting force vector. This would be a very small shift but it would be multiplied by the total mass of the suspended test article.
But my thoughts here qualify as hand waving as I nor anyone else has specific data against which to measure any model of the thought experiment. I think someone has mentioned it before, "We need data."
Terminate a 3 or 4 point sling into a single lead. That should reduce or eliminate any shift in center of mass associated with an unequal expansion of leads. The issue then could be that the frustum might swing to some extent do to any thrust or shift in center of mass.., but that should be identifiable as cyclical.(Double sigh)4-1 sling:
Don't know why I'm sighing, its not that I really expected anyone to remember my test report or videos...aka dataOK, you can tell, I get frustumated at times.
Balance beam in my test is white oak, grain linear to length. Pivot point centered 53.5 inches from either end. Height is 1 inch, width is 0.75 inches. Light coating of enamel paint to inhibit moisture ingress/egress.
Edit - 177 micronewtons of equivalent force.
Because the wire that you use to stiffen the beam for your hot dangling frustum I wonder what effects of thermal heat from your hot magnetron would have on the beam support wire and measurements? Maybe it would be interesting in your next runs before powering your frustum and magnetron up to heat up the wire directly above the magnetron with a heat gun or a hair dryer to see if you can see any beam deviation.
Shell
really I've got fun work to do! LaTer. I'm going ] to chuck this chicklett keyboaRd out the windoW... grr
Thermal is the Gorilla in the room. We need to either fence him out as Shell is endeavouring to do, or cage him as I proposed with the cylindrical can proposal.
Thermal expansion effects on the DUT are likely very unique to each test rig. For example testing with a balance beam having the DUT suspended in a 4 point sling permits differential thermal expansion in each of the four suspension leads of the sling. Same with a 3 point sling. Same for a 2 point sling. Maybe a single point suspension like a rigid bar attached to the top center of the DUT extending upward a short distance then slung with a single lead from the balance beam. But that introduces other possible thermal effects.
Consider a 4 point sling. If one lead is heated more that the other 3, it will expand in length reducing the tension on that lead. The other 3 leads take up the slack and their tension increases. Seems to me this would shift the center of mass in the direction of the horizontal projection of the resulting force vector. This would be a very small shift but it would be multiplied by the total mass of the suspended test article.
But my thoughts here qualify as hand waving as I nor anyone else has specific data against which to measure any model of the thought experiment. I think someone has mentioned it before, "We need data."
Terminate a 3 or 4 point sling into a single lead. That should reduce or eliminate any shift in center of mass associated with an unequal expansion of leads. The issue then could be that the frustum might swing to some extent do to any thrust or shift in center of mass.., but that should be identifiable as cyclical.
I disagree. Reduce yes, eliminate, no. The termination point will also experience the change in force balance and move to accommodate it. At 3.35 kg mass it need only shift a very small distance,
distance = 0.000, 177 N/(3.35kg * 9.80665 N/kg) if my math is correct = 5.38775431931622E-06 or less than 6 μ m.
That number can not be hand waved away because waving your hand will cause more displacement than that.
Considering the ramifications if emdrive is finally validated, surprised how little money has been allocated.
Of course I will make no analogy to searching for treasure on Oak Island...emdrive is way behind in speculative monies spent by comparison
2016 is really going to be an interesting year.
And yes Dave there will be pictures, videos and data streams to address accelerative CofE. As far as I'm concerned CofM is a not issue.
Just a mid set jump to the left and a step to the right.