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The effect of a periodic growth rate on the morphological stability of a freezing binary alloy

Wheeler, A.A. (1984) The effect of a periodic growth rate on the morphological stability of a freezing binary alloy Journal of Crystal Growth, 67, (1), pp. 8-26. (doi:10.1016/0022-0248(84)90125-8).

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The effect of a periodically varying growth rate on the morphological instability of a crystal growing from a binary alloy is considered using linear stability theory. We consider a planar interface with a crystal growth rate proportional to 1+? cos ?? (where ? is time) advancing into a liquid of semi-infinite extent. The linearised perturbation equations are solved by four different methods for the case when there is no meltback: (i) the solution in the limit ??0, (ii) a Fourier series expansion, (iii) the limit of the spatial wavenumber of the perturbation tending to infinity with the effect of capillarity constrained to be order one and finally, (iv) a direct numerical integration. The methods are in good agreement over their range of validity. The case of meltback,|1, is also considered using the method (iv). It is found in all cases that the system is stabilised resulting in a decrease in the critical temperature gradient of about 10% for the alloys Ge-Si, Ge-Ga, and Pb-Sn considered here.

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Published date: 1984


Local EPrints ID: 831
ISSN: 0022-0248
PURE UUID: 55e3abf9-eecc-447d-a9c6-376f11392af3

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Date deposited: 05 Apr 2004
Last modified: 17 Jul 2017 17:17

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Author: A.A. Wheeler

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