SPATIAL-TEMPORAL INHOMOGENEITIES AT THE PHASE BOUNDARY OF HIGH-SPEED CRYSTALLIZATION OF A UNDERCOOLED MELT
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Abstract
The object of study is the growth line of a free dendrite in a undercooled melt of a pure substance. The perturbed state of the growth line at a finite distance from the top of the dendrite has been studied. It is in this part of the crystallization front that the appearance of side branches is observed. Two main variants are considered: aperiodic and coordinate-periodic background, along which the perturbation wave propagates. An important role of the characteristic size of the zone of spatial inhomogeneity of the background is revealed, and quantitative estimates of the threshold values of this size are given. The dependences of the wave velocity on the angle of sharpening of the growth line and on the width of the inhomogeneity zone are studied. Examples are given demonstrating that the direction of wave movement (from the top to the periphery or from the periphery to the top) affects the morphological stability/instability of the growth line. The properties of the perturbation damping parameter are studied in detail. Numerical modeling of the properties of the growth process was performed for nickel and copper melts at undercoolings equal to 160 K and 180 K respectively. The result of the calculations is the correlation "wave speed – taper angle – size of the inhomogeneity zone", "attenuation parameter – taper angle". The presented graphical information demonstrates quantitative differences in the growth properties of nickel and copper dendrites.
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