Effective transport rates and transport-induced melting and solidification in mushy layers

2011 ◽  
Vol 23 (1) ◽  
pp. 016602 ◽  
Author(s):  
S. L. Butler
2015 ◽  
Vol 6 (3) ◽  
pp. 943-947 ◽  
Author(s):  
Konstantinos Ravanis

The representation of the properties and phenomena of the physical world exists from the beginning of life, as a first datum of reality. In several studies focused on children's representations we find that these representations these representations are critical to education and are often incompatible with the scientific model. This article presents the results of an empirical research on the representations of young children for melting and solidification of salt. The research sample consisted of 79 pre-school children (five to six years old) from one state kindergarten in Greece. Data were collected through expanded, open type, semi-structured individual conversations between a child of the sample and one researcher. The results of the interviews show that these children use different types of representations, the majority dominated by the nature of the substance under study.


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

Abstract


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.


2021 ◽  
Vol 43 ◽  
pp. 103104
Author(s):  
Mohammad Yaseen Shaker ◽  
Ahmed A. Sultan ◽  
Emad A. El Negiry ◽  
Ali Radwan

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