88 lines
6.1 KiB
Plaintext
88 lines
6.1 KiB
Plaintext
GENERAL REACTOR DESIGN
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Nuclear Reactors are powered by fission. Fission was first discovered by Hahn
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and Strassmann in Germany by bombarding the uranium nucleaus with neutrons. It
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would follow that if there were neutrons among the products of fission, then
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they could produce additional fissions and a chain-reaction might result.
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Fermi, the leading nuclear physicist of the time decided to look into the
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matter. It was found (by Bohr & Wheeler) that U235 produced fission more
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readily than U238. The hard part in getting the pile to work is what is
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called the reproductive factor. A chain reaction can only occur if the number
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of neutrons emmited in fission is greater than one. If the number was one,
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then no chain reaction would occur. If two were emitted, then a geometric
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progression could be created that would lead to a "chain-reaction". Now this
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is complicated by the fact that when the neutrons leave the nucleus, they are
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moving very fast. In order to promote fission, it is necessary to have slow
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moving neutrons. So we get back to the hard part: It is necessary to have a
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reproductive factor that after slowing, is greater than one. Obviously, the
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larger the reproductive factor, the larger the reaction (very large
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reproduction factors will cause a rather large boom). To complicate matters,
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the "free path" of the neutron, or the average distance it travels before
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being absorbed by the nucleus, is long and if you can't keep the neutron from
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escaping the uranium, then no reaction. To overcome the problem, a lattice of
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uranium cells could be "piled" on top of one another in order to promote the
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reaction. (Hence: Chain-Reacting Pile) The pile consists of slugs of pure
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Uranium arranged in a space lattice embedded in a matrix of graphite. The
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slugs could be referred to as "fuel rods". The Graphite is used to slow the
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nuetrons down, and something like boron steel (control rods) is capable of
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being inserted to help control the neutron flux. Boron steel & cadmium both
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absorb neutrons.
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The amount of energy that any neutron gets in the reaction is a matter of
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chance, and a due to technical problems, the game of slowing down and catching
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neutrons can be very tricky. If the neutron is moving too fast to be captured
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by the uranium nucleus, then it just bounces off in what is known as an
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"inelastic collision". In this event essentially no speed is lost. But if
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the neutron strikes a material of small atomic weight, such as carbon
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(graphite), then an "elastic colision" occurs where the graphite particle
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absorbs energy, and the neutron slows down. It takes about 15 collisions with
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carbon to slow the neutron down by a factor of 10. This would mean that about
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110 such collisions are needed in order to bring a 1,000,000-volt neutron down
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to "thermal energy" or about 1/40 of a volt.
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The "collision cross section" for cadmium is about 10E-24 centimeters, or one
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barn. This is very large in atomic terms and makes hitting the cadmium as
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easy as "hitting a barn". The collision cross section for carbon is only
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about one five thousandths of a barn. Now the De Broglie wavelength of a
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particle gets bigger as its speed gets smaller, so as the neutron gets
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smaller, it sort of spreads out and has a greater chance of hitting the
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nuclei. (or one might say that its capture cross section gets larger as its
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velocity decreases. Of course nuetrons can get lost, be absorbed by the
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carbon, or mutate the uranium into another isotope (resonance absorbsion). The
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losses must be taken into consideration when calculating the reproductive
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factor. The proportions of carbon and uranium must be precisely controlled in
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order to get a chain reaction.
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If you have a homogenous mixture, then on the average every second nuclei will
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be a uranium one and the neutrons will never slow down enough and be lost due
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to reasonance absorbtion. To get around this, a "lumpy" mixture is used in
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the pile. A neutron has to get through a lump of carbon (slowing it down) and
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if one doesn't hit enough carbon, it will mutate only the outer layer of the
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U235 lump, leaving the rest O.K.
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Anyway, take a lattice cell (cube) of 8.25 inches per side. (composed of U
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metal and UO2 imbedded in graphite. Pile them in approximately a flattened
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rotational ellipsoid with a polar radius of 121 inches, and an equatorial
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radius of 153 inches. Support the bugger with a wooden frame, (oh, you'll need
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about six tons for this, a small pile. Larger piles yield larger reproduction
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factors.) and you have it. You should have a reproduction factor of about
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1.067. Each metal lump should weigh about six lbs. (available from
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Westinghouse, Metal Hydrides, and Ames) Lumps of about seven or eight pounds
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would give a better reprodution factor, but would increase the amount of U
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metal needed. Each lump UO2 should weigh about 4.71 lbs. Diferent piles can
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be mixed together, but put your best materials near the middle. Layer the
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graphite bearing Uranium alternating it with graphite. Ordinary wood working
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machines can be used to to shape & smooth the graphite to specs. (Graphite can
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be obtained from Nat'l Carbon, Speer Graphite, U.S. Graphite, I would suggest
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about 14 tons, or 40,000 bricks) In order to press the uranium dioxide lumps,
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any good hydrolic press will do. Make sure that the die is made from a good
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quality tool steel, hardened and polished. Stearic acid can be used as a
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lubricant (0.5% diluted in acetone) with ethylene glycol added as a wetting
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agent. You'll need about 150 to 175lbs of pressure. As long as you are
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careful you can use different forms of uranium and graphite and still get a
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good pile. I'd suggest surrounding the entire thing with a neutron absorbing
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material such as cadmium. Once you get it up, pull out all of the control rods
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but one (one is all you need on a small pile anyway). Remove the last one
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slowly till it is about halfway out. check your neutron detectors and pull it
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out slowly (a geometric reaction starts slow, buts will pick up speed), until
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you get the output that you wish.
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