Highlights• Model of the oxidation of UC including an adherent U 3 O 8 product layer is presented.• Highly non-linear numerical solution to a double moving boundary problem.• Transient heat and mass transfer in expanding oxide and shrinking carbide phases• Temperature and oxygen concentration sensitivities tested and recommendations made.
AbstractUranium carbide is a candidate fuel for Generation IV nuclear reactors. However, like any candidate fuel, a reprocessing route should be established before implementation. One proposed method involves a preoxidation step, where the carbide fuel is oxidised to an oxide and then reprocessed as normal. A mathematical model has been developed to simulate such an oxidation using finite difference approximations of the heat and mass transfer processes occurring. Available literature was consulted to provide coefficients for the reaction rates and importantly the diffusion of oxygen through the adherent oxide layer that forms on the carbide: the rate limiting step. The transient temperature, oxygen and carbon monoxide distributions through the system are modelled in order to predict oxidation completion times and the temperatures reached. It was found that for a spherical pellet of radius 0.935 cm, the oxidation can take between 1 h to 19 h depending on the oxidation conditions and reach temperatures of up to 1556 • C. A robust model results that offers increased understanding of a process crucial to the sustainable use of carbide fuels in energy generation.