Motion of Discrete Interfaces Through Mushy Layers
نویسندگان
چکیده
منابع مشابه
Convection in Mushy Layers
As a molten alloy or any multi-component liquid is cooled and solidified the growing solid phase usually forms a porous matrix through which the residual liquid can flow. The reactive two-phase medium comprising the solid matrix and residual liquid is called a mushy layer. Buoyancy forces, owing primarily to compositional depletion as one or more of the components of the alloy are extracted to ...
متن کاملSolid-mush interface conditions for mushy layers
A subtle issue in the study of mushy zones which form during the solidification of binary alloys is that there are two distinct types of solid-mush interfaces which may occur. One of these is a eutectic front and the other is a front which separates the mushy layer and, assuming complete solute rejection, a layer of a pure solid. For semi-infinite domain configurations that admit similarity sol...
متن کاملNonlinear oscillatory convection in mushy layers
We study the problem of nonlinear development of oscillatory convective instability in a two-dimensional mushy layer during solidification of a binary mixture. We adopt the near-eutectic limit, making the problem analytically tractable using standard perturbation techniques. We consider also a distinguished limit of large Stefan number, which allows a destabilization of the system to an oscilla...
متن کاملMotion and pinning of discrete interfaces
We describe the motion of interfaces in a two-dimensional discrete environment by coupling the minimizing movements approach by Almgren, Taylor and Wang and a discrete-to-continuous analysis. We show that below a critical ratio of the time and space scalings we have no motion of interfaces (pinning), while above that ratio the discrete motion is approximately described by the crystalline motion...
متن کاملMotion of discrete interfaces in low-contrast periodic media
We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional low-contrast periodic environment, by coupling the minimizing movements approach by Almgren, Taylor and Wang and a discrete-to-continuum analysis. As in a recent paper by Braides and Scilla dealing with high-contrast periodic media, we give an example showing that in general the effective motion...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2016
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-016-9297-6