1995
DOI: 10.1007/bf02648984
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Multiparticle interfacial drag in equiaxed solidification

Abstract: A physical model is proposed for the solid/liquid interfacial drag in both globular and dendritic equiaxed solidification. By accounting for the presence of multiple particles and the nonsphericity and porosity of the individual equiaxed crystals, a drag correlation is developed, which is valid over the full range of solid volume fractions. It is shown that neither the solid liquid interfacial area concentration nor the grain size alone is adequate to characterize the interfacial drag for equiaxed dendritic cr… Show more

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Cited by 91 publications
(49 citation statements)
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“…Wang et al examined the permeability of equiaxed structures in the mid 1990s, finding that fluid drag was a function of various terms including arm spacings and grain densities, but recently this complex subject appears to have received little attention. 185) It is evident that an improved understanding of grain growth and motion in a convecting melt would only better the predictive power of multi-phase models. 101) …”
Section: The Permeability Problemmentioning
confidence: 99%
“…Wang et al examined the permeability of equiaxed structures in the mid 1990s, finding that fluid drag was a function of various terms including arm spacings and grain densities, but recently this complex subject appears to have received little attention. 185) It is evident that an improved understanding of grain growth and motion in a convecting melt would only better the predictive power of multi-phase models. 101) …”
Section: The Permeability Problemmentioning
confidence: 99%
“…The EPMA was performed using wavelength dispersive X-ray spectroscopy on an ARL SEMQ electron microprobe. A linear traverse of the probe of 20 mm steps down the middle of the ingot was used, with the mean atomic number (MAN) background correction and the following MAN standards and Z-bars for the calibration curve: SiC (11.6), Si (14), Ti (22), Fe (26), Co (27), Ni (28), and Zn (30). A detailed discussion of the microprobe procedures can be found in Refs.…”
Section: Segregation Measurementsmentioning
confidence: 99%
“…An understanding of this settling behavior is necessary for the understanding and possible control of the solidification process. The basic settling characteristics of manufactured dendritic shapes and natural dendrites in clear metal analogs have been examined by: Zakhem et al [10], Ahuja [11], Ahuja et al [12], de Groh III et al [13], and Wang et al [14]. These studies have resulted in the determination of the interfacial drag between equiaxed dendrites and the melt over a wide range of solid volume fractions.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematically, this S M term arises from the dissipative interfacial stress during the volume averaging process [28], and is modelled as a momentum sink term using a knowledge of the permeability of the porous medium [29]. Diverse modelling approaches to deal with such a permeability tensor have been studied in research on porous media [30][31][32]. In this study we represent it as a type of Carman-Kozeny permeability tensor [33].…”
Section: Governing Equationsmentioning
confidence: 99%