二元混合燃料在靶丸内壁形成均匀液体层的数学模型

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

提出了一个数学模型,描述了二元混合燃料H-D和D-T在ICF低温靶丸内壁形成均匀液体层时,远端场的温度梯度和工作温度间的关系。在靶竖直方向施加一个温度梯度后,模型显示将在气液界面产生一个垂直向上的张力梯度,它将液体从靶丸底部拉到上部,适当的张力梯度抵消了重力对液层的作用,在靶丸的内壁形成了均匀的液体层。通过运用ANSYS软件对靶丸的导热情况进行了有限元分析,模型计算结果与Kim的实验数据吻合得较好,温度梯度的变化趋势也是相似的。

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.