488 research outputs found
Growth Angle and Melt Meniscus of the RF-heated Floating Zone in Silicon Crystal Growth
This article presents a direct measurement of the growth angle during the
growth of a cylindrical 2" silicon crystal using a radio-frequency heated
floating zone process. From the high-resolution pictures taken during the
process, this growth angle was evaluated to be 11{\deg}{\pm}2{\deg}.
Furthermore, the free surface of the melt was modeled using the Laplace-Young
equation. This model has to include the electromagnetic pressure calculated by
the surface ring currents approximation. The results were compared to the
experimental free surface derived from video frames. It could be shown that the
calculated free surface will only fit the experimentally determined one if the
right growth angle is considered
Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys
We simulate dendritic growth in directional solidification in dilute binary
alloys using a phase-field model solved with an adaptive-mesh refinement. The
spacing of primary branches is examined for a range of thermal gradients and
alloy compositions and is found to undergo a maximum as a function of pulling
velocity, in agreement with experimental observations. We demonstrate that
wavelength selection is unambiguously described by a non-trivial crossover
scaling function from the emergence of cellular growth to the onset of
dendritic fingers, a result validated using published experimental data.Comment: 4 pages, four figures, submitted to Physical Review Letter
Influence of external flows on crystal growth: numerical investigation
We use a combined phase-field/lattice-Boltzmann scheme [D. Medvedev, K.
Kassner, Phys. Rev. E {\bf 72}, 056703 (2005)] to simulate non-facetted crystal
growth from an undercooled melt in external flows. Selected growth parameters
are determined numerically.
For growth patterns at moderate to high undercooling and relatively large
anisotropy, the values of the tip radius and selection parameter plotted as a
function of the Peclet number fall approximately on single curves. Hence, it
may be argued that a parallel flow changes the selected tip radius and growth
velocity solely by modifying (increasing) the Peclet number. This has
interesting implications for the availability of current selection theories as
predictors of growth characteristics under flow.
At smaller anisotropy, a modification of the morphology diagram in the plane
undercooling versus anisotropy is observed. The transition line from dendrites
to doublons is shifted in favour of dendritic patterns, which become faster
than doublons as the flow speed is increased, thus rendering the basin of
attraction of dendritic structures larger.
For small anisotropy and Prandtl number, we find oscillations of the tip
velocity in the presence of flow. On increasing the fluid viscosity or
decreasing the flow velocity, we observe a reduction in the amplitude of these
oscillations.Comment: 10 pages, 7 figures, accepted for Physical Review E; size of some
images had to be substantially reduced in comparison to original, resulting
in low qualit
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