Binary melt with quasi-stationary solidification modeling: Mushy layer approach

2020 ◽  
Author(s):  
Irina G. Nizovtseva ◽  
Ilya O. Starodumov ◽  
Dmitri V. Alexandrov ◽  
Irina V. Rakhmatullina ◽  
Sergey V. Vikharev ◽  
...  
Keyword(s):  
Mushy Layer ◽  
Solidification Modeling

Interactions between steady and oscillatory convection in mushy layers

2010 ◽  
Vol 645 ◽  
pp. 411-434 ◽  
Author(s):  
PETER GUBA ◽  
M. GRAE WORSTER
Keyword(s):  
Standing Waves ◽  
Mushy Layer ◽  
Two Dimensional ◽  
Oscillatory Convection ◽  
Mushy Layers ◽  
Theoretical Predictions ◽  
Convection Patterns ◽  
The Stability ◽  
Nonlinear Solutions ◽  
Steady Convection

We study nonlinear, two-dimensional convection in a mushy layer during solidification of a binary mixture. We consider a particular limit in which the onset of oscillatory convection just precedes the onset of steady overturning convection, at a prescribed aspect ratio of convection patterns. This asymptotic limit allows us to determine nonlinear solutions analytically. The results provide a complete description of the stability of and transitions between steady and oscillatory convection as functions of the Rayleigh number and the compositional ratio. Of particular focus are the effects of the basic-state asymmetries and non-uniformity in the permeability of the mushy layer, which give rise to abrupt (hysteretic) transitions in the system. We find that the transition between travelling and standing waves, as well as that between standing waves and steady convection, can be hysteretic. The relevance of our theoretical predictions to recent experiments on directionally solidifying mushy layers is also discussed.

On weakly nonlinear evolution of convective flow in a passive mushy layer

2010 ◽  
Vol 11 (5) ◽  
pp. 4010-4020 ◽  
Author(s):  
Dambaru Bhatta ◽  
Mallikarjunaiah S. Muddamallappa ◽  
Daniel N. Riahi
Keyword(s):  
Convective Flow ◽  
Nonlinear Evolution ◽  
Mushy Layer ◽  
Weakly Nonlinear

On nonlinear evolution of convective flow in an active mushy layer

2011 ◽  
Vol 74 (1) ◽  
pp. 73-89 ◽  
Author(s):  
Dambaru Bhatta ◽  
Daniel N. Riahi ◽  
M. S. Muddamallappa
Keyword(s):  
Convective Flow ◽  
Nonlinear Evolution ◽  
Mushy Layer
Sign in / Sign up

Export Citation Format

Share Document