Nonlinear Buoyant Convection in Mushy Layers during Alloy Solidification

2007 ◽  
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pp. 291-303 ◽  
Author(s):  
B. S. Okhuysen ◽  
D. N. Riahi
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Vol 11 (PR6) ◽  
pp. Pr6-151-Pr6-159 ◽  
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M. El Ganaoui ◽  
P. Haldenwang ◽  
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Aihua HUANG ◽  
Feng QI ◽  
Weihong ZHANG ◽  
Fang LIU ◽  
...  

2021 ◽  
Vol 914 ◽  
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M. Grae Worster ◽  
S.S.L. Peppin ◽  
J.S. Wettlaufer
Keyword(s):  

Abstract


2021 ◽  
Vol 33 (3) ◽  
pp. 037108
Author(s):  
Aniket D. Monde ◽  
Amit Shrivastava ◽  
Amman Jakhar ◽  
Prodyut R. Chakraborty

2012 ◽  
Vol 18 (S2) ◽  
pp. 602-603 ◽  
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...  

Extended abstract of a paper presented at Microscopy and Microanalysis 2012 in Phoenix, Arizona, USA, July 29 – August 2, 2012.


2010 ◽  
Vol 645 ◽  
pp. 411-434 ◽  
Author(s):  
PETER GUBA ◽  
M. GRAE WORSTER

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.


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