Phase-Field Modeling of the Dendrite Growth Morphology with Influence of Solid-Liquid Interface Effects

2014 ◽  
Vol 86 (1) ◽  
pp. 65-72 ◽  
Author(s):  
Joao Rezende ◽  
Dieter Senk ◽  
Dennis Hüttenmeister
Keyword(s):  
Phase Field ◽  
Dendrite Growth ◽  
Liquid Interface ◽  
Growth Morphology ◽  
Phase Field Modeling ◽  
Field Modeling ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Interface Effects

scholarly journals Numerical Phase-Field Model Validation for Dissolution of Minerals

2021 ◽  
Vol 11 (6) ◽  
pp. 2464
Author(s):  
Sha Yang ◽  
Neven Ukrainczyk ◽  
Antonio Caggiano ◽  
Eddie Koenders
Keyword(s):  
Phase Field ◽  
Liquid Interface ◽  
Mineral Dissolution ◽  
Experimental Results ◽  
Wide Range ◽  
Congruent Dissolution ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Dissolution Of Minerals ◽  
Meso Scale

Modelling of a mineral dissolution front propagation is of interest in a wide range of scientific and engineering fields. The dissolution of minerals often involves complex physico-chemical processes at the solid–liquid interface (at nano-scale), which at the micro-to-meso-scale can be simplified to the problem of continuously moving boundaries. In this work, we studied the diffusion-controlled congruent dissolution of minerals from a meso-scale phase transition perspective. The dynamic evolution of the solid–liquid interface, during the dissolution process, is numerically simulated by employing the Finite Element Method (FEM) and using the phase–field (PF) approach, the latter implemented in the open-source Multiphysics Object Oriented Simulation Environment (MOOSE). The parameterization of the PF numerical approach is discussed in detail and validated against the experimental results for a congruent dissolution case of NaCl (taken from literature) as well as on analytical models for simple geometries. In addition, the effect of the shape of a dissolving mineral particle was analysed, thus demonstrating that the PF approach is suitable for simulating the mesoscopic morphological evolution of arbitrary geometries. Finally, the comparison of the PF method with experimental results demonstrated the importance of the dissolution rate mechanisms, which can be controlled by the interface reaction rate or by the diffusive transport mechanism.

Numerical Analysis of Aerospace Nickel-Based Single-Crystal Superalloy Weldability Part I: Crystallography-Dependent Dendrite Growth

2021 ◽  
Vol 1018 ◽  
pp. 3-12
Author(s):  
Zhi Guo Gao
Keyword(s):  
Single Crystal ◽  
Weld Pool ◽  
Dendrite Growth ◽  
Liquid Interface ◽  
Solidification Cracking ◽  
Microstructure Development ◽  
Growth Region ◽  
The Right ◽  
Solid Liquid Interface ◽  
Solid Liquid

The thermal-metallurgical modeling of microstructure development was further advanced during single-crystal superalloy weld pool solidification by coupling of heat transfer model, columnar/equiaxed transition (CET) model and multicomponent dendrite growth model on the basis criteria of minimum dendrite velocity, constitutional undercooling and marginal stability of planar front. It is clearly indicated that heat input (laser power and welding speed) and welding configuration simultaneously influence the stray grain formation, columnar/equiaxed transition and dendrite growth. For beneficial (001) and [100] welding configuration, the microstructure development along the solid/liquid interface is symmetrically distributed about the weld pool centerline throughout the weld pool. Finer columnar in [001] epitaxial dendrite growth region is kinetically favored at the bottom of the weld pool. For detrimental (001) and [110] welding configuration, the microstructure development along the solid/liquid interface is asymmetrically distributed. The dendrite trunk spacing along the solid/liquid interface from the beginning to end of solidification morphologically increases on the left side of the weld pool, while it spontaneously decreases on the right side. The vulnerable location of solidification cracking is confined in the [100] dendrite growth region on the right side of the weld pool because of increasing metallurgical contributing factors of severe stray grain formation, centerline grain boundary formation and coarse dendrite size. The mechanism of crystallography-dependent asymmetrical solidification cracking due to microstructure anomalies is proposed. It is crystallographically favorable for predominant morphology instability to deteriorate weldability. Active [100] dendrite growth region is diminished in the shallow elliptical weld pool by optimum low heat input (low laser power and high welding speed) with (001) and [100] welding configuration to essentially facilitate single-crystal solidification conditions and provide enough resistant to solidification cracking. Moreover, the theoretical predictions agree well with the experiment results. The reliable weldability maps are therefore established to determine the prerequisite for successful crack-free laser welding or cladding. The useful model is also applicable for other single-crystal superalloys with similar metallurgical properties.

Three-dimensional hotspots in evaporating nanoparticle sols for ultrahigh Raman scattering: solid–liquid interface effects

Nanoscale ◽  
2015 ◽  
Vol 7 (15) ◽  
pp. 6619-6626 ◽  
Author(s):  
Yudie Sun ◽  
Zhenzhen Han ◽  
Honglin Liu ◽  
Shengnan He ◽  
Liangbao Yang ◽  
...  
Keyword(s):  
Raman Scattering ◽  
Capillary Force ◽  
Three Dimensional ◽  
Liquid Interface ◽  
Sers Enhancement ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Interface Effects

Decreasing interface adsorbing and increasing capillary-force packing of nanoparticles in an evaporating Ag-sol droplet is responsible for much higher SERS enhancement.

Phase-Field Microstructure Solidification of Al–2 wt% Si Alloys

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
J. B. Allen
Keyword(s):  
Directional Solidification ◽  
Phase Field ◽  
Maximum Concentration ◽  
Dendritic Growth ◽  
Interface Energy ◽  
Liquid Interface ◽  
Two Dimensional ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Dilute Alloy

In this work, we develop one- and two-dimensional phase-field simulations to approximate dendritic growth of a binary Al–2 wt% Si alloy. Simulations are performed for both isothermal as well as directional solidification. Anisotropic interface energies are included with fourfold symmetries, and the dilute alloy assumption is imposed. The isothermal results confirm the decrease in the maximum concentration for larger interface velocities as well as reveal the presence of parabolic, dendrite tips evolving along directions of maximum interface energy. The directional solidification results further confirm the formation of distinctive secondary dendritic arm structures that evolve at regular intervals along the unstable solid/liquid interface.

A New Growth Kinetics in Simulation of Dendrite Growth by Cellular Automaton Method

2007 ◽  
Vol 26-28 ◽  
pp. 957-962 ◽  
Author(s):  
Bo Wei Shan ◽  
Xin Lin ◽  
Lei Wei ◽  
Wei Dong Huang
Keyword(s):  
Cellular Automaton ◽  
Growth Kinetics ◽  
Solute Concentration ◽  
Dendrite Growth ◽  
Liquid Interface ◽  
Interface Temperature ◽  
Algebraic Equations ◽  
Interface Growth ◽  
Solid Liquid Interface ◽  
Solid Liquid

A modified cellular automaton model was proposed to simulate the dendrite growth of alloy. Different from previous models, this model used neither an analytical equation(such as KGT model) nor an interface solute gradient equation to solve the velocity of solid-liquid interface, but used the interface solute and energy conservation and thermodynamic equilibrium condition to describe the solid/liquid interface growth kinetics process. In present model, once the temperature field and solute field were solved by finite different method in the entire domain, the material thermodynamic properties can be substituted into four algebraic equations to easily determine the variation of solid fraction, interface temperature and solute concentration, instead of calculating interface moving velocity. As a result, the complexity of the calculation can be largely reduced. The simulated dendrite growth was in a good agreement with the Lipton–Glicksman–Kurz (LGK) model for free dendritic growth in undercooled melts.

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