Flow-induced morphological instabilities: The rotating disc

K. Brattkus; S. H. Davis

doi:10.1016/0022-0248(88)90084-X

Flow-induced morphological instabilities: The rotating disc

K. Brattkus^*, S. H. Davis

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

The morphological stability of a rotating and solidifying disc is investigated under the assumption that δ, the thickness of the viscous boundary layer, is much larger than δ_c, the thickness of the solute boundary layer. We find that axisymmetric disturbances with wavelengths comparable to δ respond to non-parallel flow effects and have stability characteristics quite different from disturbances in a parallel flow. These long waves are unstable because of the non-parallel flow and would decay without it. This analysis thus identifies a new mechanism of morphological change induced by flow.

Original language	English (US)
Pages (from-to)	385-396
Number of pages	12
Journal	Journal of Crystal Growth
Volume	87
Issue number	4
DOIs	https://doi.org/10.1016/0022-0248(88)90084-X
State	Published - Mar 1988

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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abstract = "The morphological stability of a rotating and solidifying disc is investigated under the assumption that δ, the thickness of the viscous boundary layer, is much larger than δc, the thickness of the solute boundary layer. We find that axisymmetric disturbances with wavelengths comparable to δ respond to non-parallel flow effects and have stability characteristics quite different from disturbances in a parallel flow. These long waves are unstable because of the non-parallel flow and would decay without it. This analysis thus identifies a new mechanism of morphological change induced by flow.",

author = "K. Brattkus and Davis, {S. H.}",

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AU - Davis, S. H.

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AB - The morphological stability of a rotating and solidifying disc is investigated under the assumption that δ, the thickness of the viscous boundary layer, is much larger than δc, the thickness of the solute boundary layer. We find that axisymmetric disturbances with wavelengths comparable to δ respond to non-parallel flow effects and have stability characteristics quite different from disturbances in a parallel flow. These long waves are unstable because of the non-parallel flow and would decay without it. This analysis thus identifies a new mechanism of morphological change induced by flow.

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