Linear Stability of Compositional Convection in a Mushy Layer during Solidification of Ammonium Chloride Solution | Zendy

In Gook Hwang | Zendy

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Linear Stability of Compositional Convection in a Mushy Layer during Solidification of Ammonium Chloride Solution

Author(s) -

In Gook Hwang

Publication year - 2012

Publication title -

korean chemical engineering research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.168

H-Index - 9

eISSN - 2233-9558

pISSN - 0304-128X

DOI - 10.9713/kcer.2012.50.1.061

Subject(s) - eutectic system , convection , rayleigh number , thermodynamics , aqueous solution , materials science , rayleigh scattering , layer (electronics) , ammonium chloride , natural convection , mechanics , chemistry , composite material , physics , optics , organic chemistry , alloy

The onset of convection in a mushy layer is analyzed by using linear stability theory in time-dependent solidification of a binary melt. A simplified model of a near-eutectic mush, in which the mush is assumed to be a porous block, is used and the propagation theory is applied to determine the critical conditions for the onset of convection. The present critical Rayleigh number is higher than the existing experimental result and also theoretical results obtained by considering the mushy layer with an overlying liquid layer. The constant pressure (permeable) condition applied on the mush-liquid interface produces a lower critical Rayleigh number, which is closer to the experimental results of aqueous ammonium chloride solution, compared with the impermeable condition.

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