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- Rapid solidification (5)
- Partition coefficient (4)
- Segregation (4)
- Diffusionless solidification (2)
- Heat mass transport (2)
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- Local nonequilibrium (2)
- Material science (2)
- Binary alloys; solute trapping; rapid solidification; local-nonequilibrium diffusion; hyperbolic diffusion equation; solute concentration; solute flux fields (1)
- Colloidal solidification (1)
- Colloidal suspensions (1)
- Diffusion in polymers (1)
- Discrete models (1)
- Heat-mass transport (1)
- Hyperbolic heat conduction; local-nonequilibrium effects; melting; overheating; pulse heating; Stefan problem; ultrafast heat transport. (1)
- Laser heating (1)
- Local non equilibrium heat and mass transfer (1)
- Local non-equilibrium (1)
- Local non-equilibrium phase boundaries phase (1)
- Local nonequilibrium diffusion (1)
- Local nonequilibrium traveling waves (1)
- Non local heat conduction (1)
- Solute trapping; Rapid solidification; Local non-equilibrium diffusion; Hyperbolic diffusion equation (1)
Articles 1 - 12 of 12
Full-Text Articles in Physics
Local Non-Equilibrium Diffusion Model For Solute Trapping During Rapid Solidification, Sergey Sobolev
Local Non-Equilibrium Diffusion Model For Solute Trapping During Rapid Solidification, Sergey Sobolev
Sergey Sobolev
A local non-equilibrium diffusion model (LNDM) for rapid solidification of binary alloys has been briefly reviewed and used to modify a number of solute trapping models with different solid–liquid interface kinetics. The LNDM takes into account deviation from local equilibrium of a solute diffusion field in bulk liquid on the basis that the exact solutions to hyperbolic diffusion equations govern the solute concentration and solute flux in bulk liquid under local non-equilibrium conditions. The LNDM leads to a velocity-dependent effective diffusion coefficient in bulk liquid ahead of the solid–liquid interface, which goes to zero when the interface velocity goes to …
Rapid Colloidal Solidifications Under Local Nonequilibrium Diffusion Conditions, Sergey Sobolev
Rapid Colloidal Solidifications Under Local Nonequilibrium Diffusion Conditions, Sergey Sobolev
Sergey Sobolev
Partition coefficient for rapid solidification of colloidal suspensions has been calculated under local nonequilibrium diffusion conditions typically used when processing advanced materials. It has been demonstrated that the local nonequilibrium diffusion effects stabilize the planar solid liquid interface and lead to an abrupt transition to diffusionless solidification with complete particle trapping. The effective diffusion coefficient, which depends on interface velocity and particle size, has been introduced. It explains the strong dependences of the partition coefficient and the velocity leading to absolute stability of a planar solid–liquid interface on particle size.
An Analytical Model For Local-Nonequilibrium Solute Trapping During Rapid Solidification, Sergey Sobolev
An Analytical Model For Local-Nonequilibrium Solute Trapping During Rapid Solidification, Sergey Sobolev
Sergey Sobolev
Updated version of local non-equilibrium diffusion model (LNDM) for rapid solidification of binary alloys was considered. The LNDM takes into account deviation from local equilibrium of solute concentration and solute flux fields in bulk liquid. The exact solutions for solute concentration and flux in bulk liquid were obtained using hyperbolic diffusion equations. The results show the transition from diffusion-limited to purely thermally controlled solidification with effective diffusion coefficient D →0 and complete solute trapping K(v)→1 at V→VDb for any kind of solid-liquid interface kinetics. Critical parameter for diffusionless solidification and complete solute trapping is the diffusion speed in bulk liquid …
An Analytical Model For Complete Solute Trapping During Rapid Solidification Of Binary Alloys, Sergey Sobolev
An Analytical Model For Complete Solute Trapping During Rapid Solidification Of Binary Alloys, Sergey Sobolev
Sergey Sobolev
An analytical model has been developed to describe solute partitioning during rapid solidification of binary alloys under local nonequilibrium conditions. The model takes into account the deviations from equilibrium both at the solid–liquid interface according to the kinetic approach of Jackson et al. based on Monte Carlo simulations and in the bulk liquid using local nonequilibrium diffusion model (LNDM). The dimensionless growth parameter b found in the Monte Carlo simulations as the important parameter for solute trapping has been modified for the local nonequilibrium diffusion case. An analytical expression has been developed for the velocity-dependent partition coefficient K which predicts …
Diffusion Of Low Molecular Mass Substances In Glassy Polymers, Sergey Sobolev
Diffusion Of Low Molecular Mass Substances In Glassy Polymers, Sergey Sobolev
Sergey Sobolev
No abstract provided.
Local Nonequilibrium Transport Models, Sergey Sobolev
Local Nonequilibrium Transport Models, Sergey Sobolev
Sergey Sobolev
No abstract provided.
Local Non-Equilibrium Diffusion Effects On The Kinetic Phase Boundaries In Solidification, Sergey Sobolev
Local Non-Equilibrium Diffusion Effects On The Kinetic Phase Boundaries In Solidification, Sergey Sobolev
Sergey Sobolev
No abstract provided.
Effects Of Local Non-Equilibrium Solute Diffusion On Rapid Solidification Of Alloys, Sergey Sobolev
Effects Of Local Non-Equilibrium Solute Diffusion On Rapid Solidification Of Alloys, Sergey Sobolev
Sergey Sobolev
A conceptual foundation for the study of local non-equilibrium solute diffusion under rapid solidifica- tion conditions is proposed. The model takes into account the relaxation to local equilibrium of the solute flux and incorporates two diffusion speeds, VDb, the bulk liquid diffusion speed, and VDi, the interface diffusive speed, as the most important parameters governing the solute concentration in the liquid phase and solute partitioning. The analysis of the model predicts complete solute trapping and the transition to a purely thermally controlled solidification, which occur abruptly when the interface velocity V equals the bulk liquid diffusion speed VDb. The abrupt …
The Local-Nonequilibrium Temperature Field Around The Melting And Crystallization Front Induced By Picosecond Pulsed Laser Irradiation, Sergey Sobolev
The Local-Nonequilibrium Temperature Field Around The Melting And Crystallization Front Induced By Picosecond Pulsed Laser Irradiation, Sergey Sobolev
Sergey Sobolev
The local-nonequilibrium model for heat transport around melting and crystallization zone induced by ultrafast laser irradiation is considered. The model predicts strong overheating during melting of the material near the interface. Moreover, the local-nonequilibrium effects lead to an interface temperature gradient steeper than expected from the classical heat flow calculations. Possible modification of the kinetics of melting to include the relaxation effects is also discussed.
Local Non-Equilibrium Model For Rapid Solidification Of Undercooled Melts, Sergey Sobolev
Local Non-Equilibrium Model For Rapid Solidification Of Undercooled Melts, Sergey Sobolev
Sergey Sobolev
No abstract provided.
Two-Temperature Discrete Model For Nonlocal Heat Conduction, Sergey Sobolev
Two-Temperature Discrete Model For Nonlocal Heat Conduction, Sergey Sobolev
Sergey Sobolev
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 parabolic heat conduction equations for propagative and diffusive regimes, respectively. To obtain these limiting cases two different laws of continuum limit have been introduced. The evolution of the two-temperature system comprises three stages with distinct time scales : fast relaxation of each subsystem to local equilibrium, energy exchange between the subsystems and classical hydrodynamics.
Transport Processes And Traveling Waves In Systems With Local Nonequilibrium, Sergey Sobolev
Transport Processes And Traveling Waves In Systems With Local Nonequilibrium, Sergey Sobolev
Sergey Sobolev
No abstract provided.