深度过冷镍和铜熔体中枝晶尖端扰动状态的参数

O. Shablovsky, D. Kroll
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摘要

研究对象是纯物质过冷熔体中自由枝晶尖端的形态稳定性。所研究过程的一个显著特点是存在两种小扰动的传播速度("声音 "速度)。这些速度与熔体过冷度的关系已经确定。对生长线的周期性和坐标周期性扰动模式进行了详细研究。对于这些稳定状态,发现了在两个过程中观测到相同扰动波速度的可能性,这两个过程在波前背景的空间不均匀性大小和波的特征衰减时间上各不相同。研究表明,如果波前通过后,生长线不均匀区的宽度减小,就会出现非周期不稳定性。枝晶尖端的共振激励模式显示了镍熔体和铜熔体特性之间的重要差异。首先,这与共振频率的温度相关性以及在顶点附近形成的驻波的速度有关。计算结果和图表信息说明了镍和铜树枝状突起的生长模式。
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PARAMETERS OF THE PERTURBED STATE OF THE DENDRITE TIP IN DEEPLY SUPERCOOLED NICKEL AND COPPER MELTS
The object of study is the morphological stability of the tip of a free dendrite in a supercooled melt of a pure substance. Areas of deep supercooling are considered: for nickel DT > 166 K, for copper – DT > 180 K. A distinctive feature of the processes being studied is the presence of two propagation velocities of small disturbances (velocities of “sound”). The dependences of these rates on the supercooling of the melt were determined. The periodic and coordinate-aperiodic modes of perturbation of the growth line have been studied in detail. For these stable regimes, the possibility of observing the same speed of the disturbance wave in two processes, differing from each other in the size of the spatial inhomogeneity of the background in front of the wave and the characteristic wave attenuation times, was discovered. It is shown that aperiodic instability appears if, after the passage of the wave front, the width of the growth line inhomogeneity zone decreases. The resonant excitation mode of the dendrite tip demonstrates important differences between the properties of the nickel and copper melts. First of all, this relates to the temperature dependences of the resonant frequency and the speed of a standing wave formed in the vicinity of the vertex. Numerical calculations are presented and graphic information is presented illustrating the patterns of growth of nickel and copper dendrites.
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