Is Gas-Liquid Diffusion Applicable for Precursor Atoms in a Molten Salt Reactor?

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Gas-liquid diffusion of precursor atoms in a molten salt reactor (MSR) raises questions about its treatment due to the low volumetric density of the liquid state. In a critical reactor operating in steady-state, the beta value may decrease as long-lived precursors like Br-87, Br-88, and I-137 exit the core before contributing to neutron flux. Monitoring delayed neutrons or precursors downstream from the core can help detect fuel failures. Additionally, Np-239 can serve as an indicator of failed fuel or tramp uranium. Understanding the diffusion dynamics in this context is crucial for reactor safety and efficiency.
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How shall diffusion of precursor atoms be treated if the core is in liquios state(as is MSR)[I mean regarding to its low volumetric density, shall we treat it as gas-liquid diffusion and is diffusion approximation or even transport theory valid for it anymore, what's the meaning of state space in this system?]?
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If the reactor is critical then it is in steady-state. The beta would likely decrease based on the longest-lived precursors (Br-87,88, I-137) leaving the core, if the flow was such that a substantial fraction of the core would flow out before the long-lived precursors could contribute to the flux.

One way to monitor/detect fuel failures is detecting delayed neutrons or precursors outside (downstream from) the core. Np-239 is another radionuclide indicative of failed fuel, or tramp U.
 
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