Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification

M Le Bars, MG Worster - Journal of Fluid Mechanics, 2006 - cambridge.org
The single-domain Darcy–Brinkman model is applied to some analytically tractable flows
through adjacent porous and pure-fluid domains and is compared systematically with the
multiple-domain Stokes–Darcy model. In particular, we focus on the interaction between flow
and solidification within the mushy layer during binary alloy solidification in a corner flow
and on the effects of the chosen mathematical description on the resulting macrosegregation
patterns. Large-scale results provided by the multiple-domain formulation depend strongly …

[PDF][PDF] Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification

M Michael Le Bars - core.ac.uk
The single-domain, Darcy-Brinkman model is applied to some analytically tractable flows
through adjacent porous and pure-fluid domains and is compared systematically with the
multiple-domain, Stokes-Darcy model. In particular, we focus on the interaction between flow
and solidification within the mushy layer during binary alloy solidification in a corner flow
and on the effects of the chosen mathematical description on the resulting macrosegregation
patterns. Large-scale results provided by the multiple-domain formulation depend strongly …
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