naa a22 4500 51082109X CHVBK 20180411083532.0 cr unu---uuuuu 180411e20130501xx s 000 0 eng 10.1007/s11814-013-0013-z doi (NATIONALLICENCE)springer-10.1007/s11814-013-0013-z Hwang In Department of Chemical Engineering, University of Suwon, 445-743, Gyeonggi-do, Korea aut Stability analysis of compositional convection in a mushy layer in the time-dependent solidification system [Elektronische Daten] [In Hwang] Instabilities of convection in a mushy layer with a permeable interface underlying a liquid layer are studied in the time-dependent solidification system in which a binary melt cooled from below. The self-similar stability equations in the liquid and mushy layers are derived by propagation theory. The onset of mushy-layer-mode convection is examined considering the variation of permeability with porosity in the mushy layer. The numerical results show that the critical Darcy-Rayleigh number defined in terms of the mean permeability increases with increasing the concentration ratio and decreases with increasing the superheat. When the concentration ratio is small, a small convective cell appears in the vicinity of the liquid-mush interface. The influences of various non-uniform permeability models on the stability of compositional convection are discussed. Korean Institute of Chemical Engineers, Seoul, Korea, 2013 Convective Instability nationallicence Solidification nationallicence Mushy Layer nationallicence Permeability Variation nationallicence Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/5(2013-05-01), 1023-1028 0256-1115 30:5<1023 2013 30 11814 https://doi.org/10.1007/s11814-013-0013-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11814-013-0013-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hwang In Department of Chemical Engineering, University of Suwon, 445-743, Gyeonggi-do, Korea aut NATIONALLICENCE 773 0- Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/5(2013-05-01), 1023-1028 0256-1115 30:5<1023 2013 30 11814 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer