Coupled convective and morphological instability in a simple-model of the solidification of a binary alloy, including a shear-flow
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, 61-94.
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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.
|Keywords:||Directional solidification, unidirectional solidification, solutal convection, stability, interface, growth, melt|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
|Date Deposited:||25 Mar 2004|
|Last Modified:||31 May 2011 23:10|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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