I know some people question the truth of whether I can make a super nuclear bomb or not. I don't permit anybody question me, so that I must provide my approach to let you know. Actually, the kernel technology is how to build the centrifuge, and therefore you can take the enriched uranium to build a super nuclear bomb. In the way of the centrifuge, I'll divide many different parts to describe its structure, including the principle of the centrifuge, pressure vessel, blade, and transmission shaft. All of these technologies are my researches, and I haven't stolen any technology from any country. I emphasize my words again, and it's that this is my way to build the super nuclear bomb.
The principle of the centrifuge is to let the centrifugal force separate the Uranium and impurities, and its key concept is the specific gravity of Uranium 19.1 higher than the impurities. The cleaning naphtha is a possible mixed liquid, but the chemists may find the better choice. Besides, the blades stir the mixed liquid to turn upward, but the acceleration of gravity shall let it turn down. Hence, there are three forces, including centrifugal force, the turning upward force, and the acceleration of gravity. In these forces, the centrifugal force is the primary force, and the other two forces are just let the mixed liquid maintain the circulatory mode. According to this concept, the Uranium and impurities are separated by the difference of centrifugal forces, and it can be shown as following equation.
In this equation, the rotational speed is the most important matter, so that you shall try to find the fast motor as far as you can. After you know the principle, the next mission is to design the mixed liquid vessel, and it is the so-called pressure vessel. The critical mass is just 48.8kg, so that you cannot refine more than 30kg one time. Because you just can refine 30kg Uranium, your pressure vessel is a very small vessel. The vessel diameter won't be larger than 2.0m, and the vessel height may be just 1.5m. How do you calculate the thickness of this pressure vessel? When you open the book of S. P. Timoshenko, "Mechanics of Materials", you can find the equations to calculate the stresses of the cylindrical pressure vessel which are as following equations.
I had ever analyzed this problem by the finite element software, and I had made sure the two equations were right. According to the pressure vessels codes of the United States and Russian Federation, the factor of safety cannot be less than 3.5, and you should adopt a higher value to obtain a safer design result. However, you must make at least a hole as the conduit, so that you can filter the Uranium and impurities. To obtain a better design results, I think the finite element analysis is still necessary to compare with the theoretical formulas. After you filter the Uranium, you have to take the grinder to let it become the finer Uranium, and then you shall use the centrifuge to fine it again.
In my working experiences, I had ever analyzed several blades and transmission shafts, and I just let you know the key points of the two different things. On the internet, you can be easy to find many packages to calculate the 3D coordinates for the blade, and you shall choose Pro/Engineer or SolidWorks to draw its solid model. Of course, you can calculate its efficiency by hand, and you also can analyze it by the software of computational fluid dynamics. After you complete this analysis, you have to analyze its structural strength by the procedures of fluid–structure interaction to modify the shape or thickness of the blade. Until the structural analysis is completed, the blade shape is fixed at the same time.
The quantity of blades can choose 3, and the material of them can adopt the high strength carbon fiber. The following procedure is to use the CNC, and then you can make the blades by the CNC mold for the centrifuge. The CNC can adopt the exchange file format of Pro/Engineer or SolidWorks, and the exchange file shall be transferred to the G code or M code by the middle software MasterCAM. Of course, the quality of the blade mold is based on the MasterCAM, so that the technician is very important. The dynamic equilibrium is very important for maintaining systemic stable, and therefore the blades must be made more than three and chosen the same weight blades to avoid the unstable fracture problem.
The transmission shaft has the critical speed problem, and it is the so-called structural resonance in civil engineering. Actually, most of the structural resonance problems in civil engineering are the suspensor structures, suspension bridge, for example. There was a real case which was Jiantan Station Roof of Taipei MRT, and it had the structural resonance problem in 1997. Actually, you just need to build a 2D finite element model for the modal analysis, and then you can calculate the critical speed by hand. Of course, you also can calculate this procedure by hand, and you need to adopt the basic natural frequency equation which is as following equation. When you accelerate the speed of the transmission shaft, you must try to avoid the natural frequency or its multiple frequencies.
How do you measure the concentration of Uranium? There are many ways, including the mass-volume, densitometer … and so on. If you think the concentration is not enough, you shall repeat the above procedures to achieve the goal. How do you prepare the total quantity of Uranium? If the concentration of Uranium is 85%, you shall prepare 60.3kg which is including the additional 5% margin for the super nuclear bomb. I provide a simple calculation to show you, and you shall be easily to understand what I say. In fact, the present technology can let the concentration achieve more than 95%, so that the total quantity must be re-calculated. The design formula is based on the concentration 100%, and therefore the destructive power is affected by its concentration.
References
- Wikipedia, Centrifuge, http://en.wikipedia.org/wiki/Centrifuge
- Wikipedia, Naphtha, http://en.wikipedia.org/wiki/Naphtha
- Wikipedia, Uranium, http://en.wikipedia.org/wiki/Uranium
- Wikipedia, Specific gravity, http://en.wikipedia.org/wiki/Specific_gravity
- S. P. Timoshenko & J. M. Gere(1972)Mechanics of Materials, New York: Van Nostrand Reinhold Co.
- C. M. Huang(2011.04.02)流固耦合計算, Ching-Min Huang Office, http://cmhuangoffice.blogspot.tw/2011/04/blog-post_02.html
- Wikipedia, Carbon (fiber), http://en.wikipedia.org/wiki/Carbon_(fiber)
- Wikipedia, Numerical control, http://en.wikipedia.org/wiki/Numerical_control
- 吳朝斌、于中原、林淑晴、魏竹星、林淑燕(2007)臺北捷運土建設計發展與文物,捷運技術半年刊第37期,http://www2.dorts.gov.tw/tech/techjour/tcj37/B3.pdf