1989
DOI: 10.1179/imr.1989.34.1.93
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Modelling of microstructure formation in solidification processes

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Cited by 482 publications
(239 citation statements)
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“…Slight variations in such values have been found to influence (often significantly) model results, 81,92,105,115,116) and although there are software packages which are able to deliver some of these parameters in steels, 141) outputs from them can be limited in their current form (for instance, only values for equilibrium solidification are calculated) and certain parameters, such as those relating to equiaxed grain nucleation, can only be determined experimentally. 142) Clearly this is not an ideal situation for those wishing to compare alloys quickly. Similar uncertainty surrounds the auxillary models of microsegregation and permeability which must be supplied to macrosegregation simulations.…”
Section: Input Parameters and Auxillary Modelsmentioning
confidence: 99%
“…Slight variations in such values have been found to influence (often significantly) model results, 81,92,105,115,116) and although there are software packages which are able to deliver some of these parameters in steels, 141) outputs from them can be limited in their current form (for instance, only values for equilibrium solidification are calculated) and certain parameters, such as those relating to equiaxed grain nucleation, can only be determined experimentally. 142) Clearly this is not an ideal situation for those wishing to compare alloys quickly. Similar uncertainty surrounds the auxillary models of microsegregation and permeability which must be supplied to macrosegregation simulations.…”
Section: Input Parameters and Auxillary Modelsmentioning
confidence: 99%
“…O'Connor et al 2) analyzed heat transfer and mold stress for the funnel type mold of the CSP (Compact Strip Production)-process and another study was carried by Nam et al 3) on this type of thin slab caster focusing on fluid flow and heat transfer. In this study, a 3-dimensional numerical model for fluid flow and heat transfer analysis [3][4][5] was employed with the aid of an effective heat capacity algorithm for the solidification 6) and flow pattern and related phenomena in the parallel type thin slab mold were investigated. The design of the submerged entry nozzle (SEN) with the electromagnetic brakes is considered to be the most effective controlling factor in the thin slab casting process.…”
Section: Introductionmentioning
confidence: 99%
“…k 1 and k 2 are the functions of the initial concentration. The total undercooling at the dendrite tip is given by the sum of the various contributions to undercooling (Rappaz & Gandin, 1993):…”
Section: Mathematical Modelsmentioning
confidence: 99%
“…The continuous nucleation condition is considered in the present work where different Gaussian distributions account for the nucleation both on the mold wall and in the bulk liquid. The increase of grain density d n is induced by an increase in the undercooling d(ΔT) according to the following Gaussian distribution (Rappaz & Gandin, 1993 …”
Section: Mathematical Modelsmentioning
confidence: 99%