Modelling of non-equilibrium solidification in ternary alloys: comparison of 1D, 2D, and 3D cellular automaton–finite difference simulations

2000 ◽  
Vol 16 (11-12) ◽  
pp. 1420-1424 ◽  
Author(s):  
D.J. Jarvis ◽  
S.G.R. Brown ◽  
J.A. Spittle
Keyword(s):  
Finite Difference ◽  
Cellular Automaton ◽  
Ternary Alloys ◽  
Equilibrium Solidification ◽  
2D And 3D ◽  
Non Equilibrium

scholarly journals Analysis of Microsegregation in Al-Si-Cu Ternary Alloys: Interdependence of Solute Composition at the Solubility Limit during Non-Equilibrium Solidification

2020 ◽  
Vol 23 (6) ◽  
Author(s):  
Luis Antônio de Souza Baptista ◽  
Késsia Gomes Paradela ◽  
Paulo Felipe Junior ◽  
Roberto Carlos Sales ◽  
Bruno Silva Dantas ◽  
...  
Keyword(s):  
Solubility Limit ◽  
Ternary Alloys ◽  
Equilibrium Solidification ◽  
Solute Composition ◽  
Non Equilibrium

scholarly journals The development of non-equilibrium solidification theories

2015 ◽  
Vol 45 (4) ◽  
pp. 358-376 ◽  
Author(s):  
WangWang KUANG ◽  
HaiFeng WANG ◽  
Feng LIU ◽  
Kang WANG
Keyword(s):  
Equilibrium Solidification ◽  
Non Equilibrium

scholarly journals Back-Diffusion In Crystal Growth. Eutectics

2015 ◽  
Vol 60 (3) ◽  
pp. 2403-2407 ◽  
Author(s):  
W. Wołczyński
Keyword(s):  
Differential Equation ◽  
Crystal Growth ◽  
Current Model ◽  
Solute Segregation ◽  
Solidification Path ◽  
Back Diffusion ◽  
Eutectic Alloys ◽  
Equilibrium Solidification ◽  
Solid Liquid ◽  
Non Equilibrium

Abstract Solute segregation/redistribution model for some eutectic alloys is presented. The differential equation for the solute micro-segregation during solidification accompanied by the back-diffusion is formulated. The solution to this equation results in the definitions of: solidification path, solid/liquid (s/l) interface path and redistribution path. An equation for the estimation of the amount of equilibrium and non-equilibrium precipitates is also delivered. It is proved that the current model is universal one. Thus, the model reduces perfectly, mathematically to both description of diffusion-less solidification and model of equilibrium solidification.

Investigation of the non-equilibrium solidification microstructure of a Mg–4Al–2RE (AE42) alloy

2016 ◽  
Vol 51 (13) ◽  
pp. 6287-6294 ◽  
Author(s):  
Weihua Sun ◽  
Xiaoying Shi ◽  
Emre Cinkilic ◽  
Alan A. Luo
Keyword(s):  
Solidification Microstructure ◽  
Equilibrium Solidification ◽  
Non Equilibrium

Time-Independent Finite Difference and Ghost Cell Method to Study Sloshing Liquid in 2D and 3D Tanks with Internal Structures

2013 ◽  
Vol 13 (3) ◽  
pp. 780-800 ◽  
Author(s):  
C. H. Wu ◽  
O. M. Faltinsen ◽  
B. F. Chen
Keyword(s):  
Finite Difference ◽  
Vertical Plate ◽  
Stokes Equations ◽  
Staggered Grid ◽  
Navier Stokes ◽  
Iteration Algorithm ◽  
Ghost Cell ◽  
Fluid Sloshing ◽  
Internal Structures ◽  
2D And 3D

AbstractA finite difference scheme with ghost cell technique is used to study viscous fluid sloshing in 2D and 3D tanks with internal structures. The Navier-Stokes equations in a moving coordinate system are derived and they are mapped onto a time-independent and stretched domain. The staggered grid is used and the revised SIMPLEC iteration algorithm is performed. The developed numerical model is rigorously validated by extensive comparisons with reported analytical, numerical and experimental results. The present numerical results were also validated through an experiment setup with a tank excited by an inclined horizontal excitation or a tank mounted by a vertical baffle. The method is then applied to a number of problems including sloshing fluid in a 2D tank with a bottom-mounted baffle and in a 3D tank with a vertical plate. The phenomena of diagonal sloshing waves affected by a vertical plate are investigated in detail in this work. The effects of internal structures on the resonant frequency of a tank with liquid are discussed and the present developed numerical method can successfully analyze the sloshing phenomenon in 2D or 3D tanks with internal structures.

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