Abstract
A cryogenic target is the core component in inertial confinement fusion. For meeting the experimental requirements, the uniformity of the fuel ice layer in the capsule needs to reach 99% at least. The capsule has a nonuniform temperature distribution natively resulting from the columnar hohlraum geometry, leading to a nonuniform fuel ice layer profile. A proper temperature distribution along the hohlraum can be used to improve the uniformity of the fuel ice layer. A numerical model that can predict the kinetics of the fuel solid-vapor interface during the migration process is proposed by coupling the heat transfer and flow equations with the Stefan condition. This numerical model has good calculational accuracy verified with the pure-ice sublimation experiment. By studying different hohlraum temperatures and fuel ice layer initial eccentricities, the basic characteristic of ice immigration has been figured out. For the manufacture process, a temperature control scheme has been proposed by which the uniformity of the fuel ice layer can reach 99.57%. For the retention process, a perfectly uniform fuel ice layer can be maintained for 2000s before it cannot meet the ignition standard. These results are of significant guidance on cryogenic target experiments.
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