Rapid solidification of highly undercooled bulk liquid superalloy: recent developments, future directions

F Liu, GC Yang - International Materials Reviews, 2006 - journals.sagepub.com
The status of rapid solidification of highly undercooled bulk liquid superalloys is critically
evaluated and future directions of research in this technologically important area are …

[PDF][PDF] Локально-неравновесные модели процессов переноса

СЛ Соболев - Успехи физических наук, 1997 - scholar.archive.org
Процессы переноса энергии и вещества имеют самое широкое распространение в
природе и технике. Этим объясняется исключительно важное научное и практическое …

Local nonequilibrium effect on undercooling in rapid solidification of alloys

P Galenko, S Sobolev - Physical Review E, 1997 - APS
A local nonequilibrium approach to rapid solidification of undercooled alloys is presented.
Taking into account the finite speed of mass signals, a steady-state solution to the …

Rapid solidification under local nonequilibrium conditions

SL Sobolev - Physical Review E, 1997 - APS
The effects of local nonequilibrium solute diffusion on a solute concentration field, solute
partitioning, interface temperature, and absolute stability limit have been considered. The …

Local non-equilibrium transport models

SL Sobolev - Physics-Uspekhi, 1997 - iopscience.iop.org
Local non-equilibrium models of heat and mass transport processes are considered and
shown to form a hierarchy of parabolic and hyperbolic equations whose order increases with …

Discrete heat conduction equation: Dispersion analysis and continuous limits

SL Sobolev - International Journal of Heat and Mass Transfer, 2024 - Elsevier
The dispersion relation in ω-k space has been derived and analyzed for discrete heat
conduction equation (DE). The DE is inherently nonlocal both in time and space and can be …

Nonlocal diffusion models: Application to rapid solidification of binary mixtures

SL Sobolev - International Journal of Heat and Mass Transfer, 2014 - Elsevier
Various theoretical treatments and models for nonlocal diffusion are briefly reviewed and
discussed. The nonlocal effects arise in far from equilibrium processes, which involve …

Local-nonequilibrium model for rapid solidification of undercooled melts

SL Sobolev - Physics letters A, 1995 - Elsevier
A local-nonequilibrium model for rapid solidification of highly undercooled melts is
proposed. The model predicts an abrupt change of the effective diffusion coefficient, the …

Two-temperature discrete model for nonlocal heat conduction

SL Sobolev - Journal de Physique III, 1993 - jp3.journaldephysique.org
The two-temperature discrete model for heat conduction in heterogeneous media is
proposed. It is shown that the discrete model contains as limiting cases both hyperbolic and …

Discrete space-time model for heat conduction: Application to size-dependent thermal conductivity in nano-films

SL Sobolev - International Journal of Heat and Mass Transfer, 2017 - Elsevier
An analytical discrete-variable model has been developed to describe heat conduction in
nano-sized systems. The model assumes that the system consists of a homogeneous array …