Evadman
Administrator Emeritus<br>Elite Member
- Feb 18, 2001
- 30,990
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I just want confirmation that my idea [to use Paramagnetism to filter non-magnetic metals from engine oil] could theoretically could work.
Hold on, let me get my slide rule from the highly technical forum.
ROM estimate is that to deflect a piece of titanium the weight of a grain of sand (20mg) moving at 10 meters per second a distance of 5mm though a vacuum (not 30 weight so we can ignore some of the variables at least) it would take:
B= F/(A*S*.005/.0005s)/6.8x10^5
B = F/(A*S*10)/6.8x10^5
B=(.00002*(10/.005) * 1)/0.000068
B = 5880
A magnetic field of roughly 5880 tesla. The supercooled magnets of the LHC have a nominal 0.54 tesla and a maximum of 8.3 tesla each (can spike to that power twice per day) and there are 1624 of them at 27 tons each. So, assuming that you ran the LHC at half power so you could get perhaps 8 events per day instead of 2 (should be the square of the power theoretically so half power = 4 times more events). LHC at full power is 180mw, so half would be 90MW. So you would be able to deflect a piece of titanium 20mg in size into your trap approximately 8 times per day if you used a total of 90mw*24= 2160MWH per 24 hour period. Assuming you bought the power wholesale direct from a power plant, you could probably get it for around 4 cents per KWH so the total cost would be 2160000*.04 = $86,400 per day for power.
The dynamic viscosity of motor oil at operating temp (lets say 100c) is 0.010. that puts the force required to move that bit of titanium though 30 weight 100c motor oil at:
F =10m/s * 5^2 (0.010/5mm)
F = 10 * 25 * (0.010/.005)
F = 500 newton s
1 newton is actually pretty light and equates to lifting a kilogram per second^2. But toss this into where it needs to be in the equation above (replace F) and you end up with 2,940,000 tesla. So the actual power required for 8 events per day would be 2940000B / 5880B * 90MW = 45000MW or 45GW. The largest nuclear power plant in the world is Bruce at 3.2GW with 8 reactors.
So, theoretically, if you built 14 of the largest nuclear power plants in the world and ran them at nameplate capacity to power 708,500 superconducting magnets surrounding your oil filter, you would be able to remove 8 flakes of titanium from your engine oil per day. Your electricity bill would also be $520 per second. Total weight of the magnets would be 19,129,500 tons. For scale, the empire state building is 365000 tons. The magnets would weigh as much as 52 empire state buildings or 182 Nimitz class supercarriers. The entire US Navy's displacement is 'only' 3,121,014 tons. From the same link, you can see that the US Navy is bigger than the next 13 navies combined.
TLDR - Using 112 nuclear reactors and a weight of magnets roughly equal to the weight of every military and non-military ship on the planet surrounding your oil filter, it is theoretically possible to remove 8 titanium contaminant particles per day from your engine oil using only the power of Paramagnetism at a cost of 520 dollars per second (not including fixed costs for magnets, supercooling, and other infrastructure)
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