Mathematic model of the formation of a uniform liquid layer of binary fuel mixture inside a cryogenic target

A mathematic model is established that formulated the relationship between the working temperature and thermal gradient in producing a uniform liquid layer of binary fuel mixture inside a cryogenic spherical shell inertial confinement fusion target. When the external linear thermal gradient was imposed on the target, the model showed the gradient of face tension induced by thermal gradient acted on the far field pull the liquid inside the ICF forward. This motion overcame the effect of gravitation to produce a uniform liquid layer inside ICF. And a finite element analysis of the heat transfer in hollow micro-sphere filled with the ICF fuel was made, the results compared with the experimental finding by K.Kim and the tendency of the thermal gradient was shown to be similar.