通过相似物理模拟方法研究离心力场下液态金属在微尺度空间内的流动过程,相似准则的推导是工作的重点.在传统流动方程的基础上,充分考虑微精密铸造过程中特殊的物理条件,推导了离心铸造过程液态金属在微尺度空间内充型流动时满足的流动方程和伯努利方程,为微尺度空间内液态金属的充型流动过程数值模拟提供了数学模型.同时,依据微流动方程和相似理论,获得了离心力场下物理模拟微尺度空间内液态金属流动过程的相似准则,从而实现微流动过程的可视化观察和定量分析.
Liquid metal filling flow process in the microscale during the centrifugal casting process was studied by means of similar physical simulation. The research was focused on derived similarity criterion. Based on the traditional flow equations, the flow equation and the Bernoulli's equation for liquid metal flows in micro-scale space were derived, which provides a mathematical model for numerical simulation of micro-scale flow. In the meanwhile, according to the micro-flow equation and the similarity theory, the similarity criterion for the physical simulation of the mold filling behaviors was presented under centrifugal force field, so as to achieve the visual observation and quantitative analysis of micro-flow process.