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HW18-8a-f - 10-6 Principles of Nuclear Reactors Chap 10 8...

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10-6 Principles of Nuclear Reactors Chap. 10 8. Consider a homogeneous, bare, spherical, source-free, critical, uranium-fueled reactor operating at a power Po- Explain how and why the power increases, decreases, or remains unchanged as a result of each of the separate changes to the reactor- (a) The reactor is deformed into the shape of a football (ellipsoid). (b) A person stands next to the core. (c) The temperature of the core is raised. (d) A neutron source is brought close to the core. (e) An energetic electron beam impacts the core. (f) The reactor is run at high power for a long time. (g) The core is launched into outer space. (h) A sheet of cadmium is wrapped around the core. (i) The enrichment of the fuel is increased. Solution: (a) koo remains unchanged (property of core material alone). But increasing the surface-to-volume ratio causes the neutron leakage to increase and hence ~{ and ~~ decrease and the reactor becomes sub critical and the power decreases.
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