The characteristics and problems of cavity reactors with the fuel in the solid, solid/liquid, solid/liquid/gas, liquid, and liquid/gas states are explored analytically in an effort to uncover interesting operational regimes. Operation with the fuel in a thin liquid film on the cavity wall promises continuous fission debris removal and interesting performance, but poses problems of container penetration by the fuel and gravity-induced fuel flow. These problems are avoided when the fuel film is solid at the expense of power and operational duration.
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