This paper presents a theoretical model for studying the effects of shrinkage induced flow on the growth rate of binary alloy dendrites. An equivalent undercooling of the melt is defined in terms of ratio of the phase densities to represent the change in dendrite growth rate due to variation in solutal and thermal transport resulting from shrinkage induced flow. Subsequently, results for dendrite growth rate predicted by the equivalent undercooling model is compared with the corresponding predictions obtained using an enthalpy based numerical method for dendrite growth with shrinkage. The agreement is found to be good. Published by Elsevier Ltd
Understanding the fundamental mechanisms of solidification and the relative significance of differen...
A phase field model describing the solidification of a binary alloy is investigated. The location of...
A similarity solution for solidification of an undercooled binary alloy is developed including the e...
This paper presents a theoretical model for studying the effects of shrinkage induced flow on the gr...
A theoretical analysis is carried out to observe the influence of important flow parameters such as ...
Purpose-In the present work, a numerical method, based on the well established enthalpy technique, i...
In this article we present an enthalpy-based simulation for the evolution of equiaxial dendrites, gr...
A series of mathematical models and codes are developed to investigate the dendritic growth of Fe-0....
The aim of this study was to develop a model of dendrite growth. The model should emphasis on solu...
International audienceThe theory of stable dendritic growth within a forced convective flow field is...
International audienceThe dendritic growth of pure materials in undercooled melts is critical to und...
This dissertation presents an analytical study of shrinkage-induced transport phenomena during alloy...
A pure macroscopic two-dimensional numerical model has been developed, capable of capturing the effe...
A numerical micro-scale model is developed to study the behavior of dendrite growth in presence of m...
The effects of a forced flow on dendritic growth rate in binary systems are studied theoretically. B...
Understanding the fundamental mechanisms of solidification and the relative significance of differen...
A phase field model describing the solidification of a binary alloy is investigated. The location of...
A similarity solution for solidification of an undercooled binary alloy is developed including the e...
This paper presents a theoretical model for studying the effects of shrinkage induced flow on the gr...
A theoretical analysis is carried out to observe the influence of important flow parameters such as ...
Purpose-In the present work, a numerical method, based on the well established enthalpy technique, i...
In this article we present an enthalpy-based simulation for the evolution of equiaxial dendrites, gr...
A series of mathematical models and codes are developed to investigate the dendritic growth of Fe-0....
The aim of this study was to develop a model of dendrite growth. The model should emphasis on solu...
International audienceThe theory of stable dendritic growth within a forced convective flow field is...
International audienceThe dendritic growth of pure materials in undercooled melts is critical to und...
This dissertation presents an analytical study of shrinkage-induced transport phenomena during alloy...
A pure macroscopic two-dimensional numerical model has been developed, capable of capturing the effe...
A numerical micro-scale model is developed to study the behavior of dendrite growth in presence of m...
The effects of a forced flow on dendritic growth rate in binary systems are studied theoretically. B...
Understanding the fundamental mechanisms of solidification and the relative significance of differen...
A phase field model describing the solidification of a binary alloy is investigated. The location of...
A similarity solution for solidification of an undercooled binary alloy is developed including the e...