Abstract
We present a phase-field model for the solidification of a binary alloy, which incorporates hydrodynamic effects due to the different densities of the solid and liquid phases. We start from a generalized thermodynamic potential with squared gradient terms for the associated fields; the condition of local positive entropy production is then utilized to derive a set of equations that drive the system towards equilibrium. The model has been numerically solved in one dimension, to investigate the effects of the flow field on the interface dynamics. We observed that solute trapping is almost unaffected by the fluid advection, while the interface mobility is strongly reduced as the fluid velocity increases. This reflects on the dependence of the interface temperature T(I) on the growth rate v(I): the region of the unstable (ascending) branch is reduced, and the maximum of the T(I)(v(I)) curve is shifted towards lower velocities.
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 callMore From: Physical review. E, Statistical, nonlinear, and soft matter physics
Disclaimer: 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.
