“…This image analysis is based on the measurement of local density differences, which arise from solute rejection ahead of the advancing solidification front [20]. Although convection is unavoidable in most real solidification experiments carried out on Earth, insufficient attention has been paid to the role of fluid flow in solute profile formation [21,22]. The complex coupling between convection and the transient solidification process prevented these authors from obtaining definitive conclusions through classical post-mortem analysis.…”
“…This image analysis is based on the measurement of local density differences, which arise from solute rejection ahead of the advancing solidification front [20]. Although convection is unavoidable in most real solidification experiments carried out on Earth, insufficient attention has been paid to the role of fluid flow in solute profile formation [21,22]. The complex coupling between convection and the transient solidification process prevented these authors from obtaining definitive conclusions through classical post-mortem analysis.…”
“…The present paper will emphasize on the effect of convection during the initial transient, more particularly its influence on the solid-liquid interface shape and solute distribution in the liquid phase. Indeed, despite convection is unavoidable in most real solidification experiments on the ground, little attention have been paid to the role of fluid flow in the solute profile formation [12,13] due to the complex coupling between convection and transient solidification process.…”
“…In order to simplify the problem, the first step of the analysis will be to drop the time dependence of the concentration variations. This is not unreasonable, since the Quasi-Steady State approach was found to be physically sound for segregation problems in a variety of growth configurations [18][19][20]. Denoting n as the kinematic viscosity of the fluid, we can now make the problem non-dimensional, using H and n/H as length and velocity scales.…”
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