title: Unidirectional solidification of binary melts from a cooled boundary: analytical solutions of a nonlinear diffusion-limited problem.
abstract: A model is presented that describes nonstationary solidification of binary melts or solutions from a cooled boundary maintained at a time-dependent temperature. Heat and mass transfer processes are described on the basis of the principles of a mushy layer, which divides pure solid material and a liquid phase. Nonlinear equations characterizing the dynamics of the phase transition boundaries are deduced. Approximate analytical solutions of the model under consideration are constructed. A method for controlling the external temperature at a cooled wall in order to obtain a required solidification velocity is discussed.
authors.affiliation: Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg, 620083, Russian Federation.
authors.forename: D V
authors.initials: DV
authors.lastname: Alexandrov
authors.forename: I G
authors.initials: IG
authors.lastname: Nizovtseva
authors.forename: A P
authors.initials: AP
authors.lastname: Malygin
authors.forename: H-N
authors.initials: HN
authors.lastname: Huang
authors.forename: D
authors.initials: D
authors.lastname: Lee