Abstract
The onset of convective and morphological instabilities of a fluid layer of binary alloy, cooled from the above and frozen at the below, is considered. Since the solid alloy freezing from the liquid alloy constains less light component, a jump in density occurs across the freezing interface and some lighter material is then released. Due to a small cooling rate and a large thermal diffusivity, the convection is mainly driven by the compositional bouyancy. Morphological instabilities occur, when the conducting layer near the interface is constitutionally supercooled. Three different modes are shown : cellular convective modes, requiring 1< R<1+ S , of both long and short wavelengths and a morphological mode of short wavelength. As a result of the surface tension, the morphological mode has a larger critical eigenvalue and a smaller critical wave-number.
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