Abstract
This study is devoted to mathematical modeling of the process of directional solidification of a binary melt with a two-phase zone. The paper considers the crystallization process from top to bottom, caused by cooling of the upper boundary. The melt located below the two-phase zone is in a state of intense convective motion. The nonlinear mathematical model of the solidification process is described by the equations of heat and mass transfer in the two-phase zone and the molten phase in the presence of a moving boundary of the phase transformation. These equations supplemented with the equation of state as well as the corresponding boundary and initial conditions are analytically solved in a parametric form. The nonstationary temperature and concentration distributions, and the solid phase fraction are found in the two-phase zone and liquid phase. The phase transition boundary “two-phase zone - liquid phase” is found as a function of time.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
