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These engines are currently considered very difficult to build.
The reaction time of the nuclear fuel is much higher than the heating time of the working fluid, requiring a method to trap the fuel inside the engine while allowing the working fluid to easily exit through the nozzle.
Most liquid-phase engines have focused on rotating the fuel / fluid mixture at very high speeds, forcing the fuel to the outside due to centripetal force ( uranium is heavier than hydrogen ).
In many ways the design mirrors the particle-bed design, although operating at even higher temperatures.

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