Coupled convective and morphological instability in a simple-model of the solidification of a binary alloy, including a shear-flow
Coupled convective and morphological instability in a simple-model of the solidification of a binary alloy, including a shear-flow
In this paper we provide a detailed description of the interaction of solutal convection and morphological instability in the presence of a model boundary-layer flow. We present a detailed investigation of the structure of the marginal surfaces in Rayleigh-number, Sekerka-number, Reynolds-number space associated with a linear stability analysis. We give mathematical arguments and physical mechanisms to explain the results and present a coherent description of this complicated situation. We identify two new modes, one convective and one morphological. We show that the oscillatory so-called 'mixed' modes that result from the coupling of morphological and convective modes play a central role in the unfolding of the solution structure by the shear flow. This flow has the effect of decoupling the convective and morphological modes.
Directional solidification, unidirectional solidification, solutal convection, stability, interface, growth, melt
61-94
Forth, S.A.
54814c48-5f67-4e64-b6c1-d8131866fb7a
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
1992
Forth, S.A.
54814c48-5f67-4e64-b6c1-d8131866fb7a
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Forth, S.A. and Wheeler, A.A.
(1992)
Coupled convective and morphological instability in a simple-model of the solidification of a binary alloy, including a shear-flow.
Journal of Fluid Mechanics, 236, .
Abstract
In this paper we provide a detailed description of the interaction of solutal convection and morphological instability in the presence of a model boundary-layer flow. We present a detailed investigation of the structure of the marginal surfaces in Rayleigh-number, Sekerka-number, Reynolds-number space associated with a linear stability analysis. We give mathematical arguments and physical mechanisms to explain the results and present a coherent description of this complicated situation. We identify two new modes, one convective and one morphological. We show that the oscillatory so-called 'mixed' modes that result from the coupling of morphological and convective modes play a central role in the unfolding of the solution structure by the shear flow. This flow has the effect of decoupling the convective and morphological modes.
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Published date: 1992
Keywords:
Directional solidification, unidirectional solidification, solutal convection, stability, interface, growth, melt
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Local EPrints ID: 815
URI: http://eprints.soton.ac.uk/id/eprint/815
ISSN: 0022-1120
PURE UUID: 4fcc1a98-673e-4621-955c-b41fc0911565
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Date deposited: 25 Mar 2004
Last modified: 11 Dec 2021 13:19
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Author:
S.A. Forth
Author:
A.A. Wheeler
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