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.

Download

Full text not available from this repository.

Description/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.

Item Type: Article
Related URLs:
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
ePrint ID: 815
Date Deposited: 25 Mar 2004
Last Modified: 27 Mar 2014 17:59
URI: http://eprints.soton.ac.uk/id/eprint/815

Actions (login required)

View Item View Item