A mathematic model was built to study the directional solidification microstructures at different withdrawal rates. Ray-tracing method was proposed to calculate temperature field and gradient, coupled with a Modified Cellular Automation method, the mushy zone and microstructure could be studied further. Validation experiments were carried out at different withdrawal rates. The cooling curves and microstructure results either from experiment or simulation corresponded well with each other. Therefore the calculated temperature gradient and mushy zone distribution could provide reasonable way to analyze and optimize the solidification process.
This study indicates that withdrawal rate affects temperature field and growth rate of the grain directly, which decides the size and morphology of the columnar grain finally. A moderate withdrawal rate can get high quality DS turbine blades for industry application.