Modelling the mushy region in a binary alloy
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چکیده
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Mathematical modelling of a mushy region formation during sulphation of calcium carbonate
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15 صفحه اولConvective instabilities during the solidification of an ideal ternary alloy in a mushy layer
DANIEL M. ANDERSON†, GEOFFREY B. McFADDEN, SAM R. CORIELL AND BRUCE T. MURRAY Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA Metallurgy Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA Department ...
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We consider the solidi cation of a binary alloy in a mushy layer and analyse the system near the onset of buoyancy-driven convection in the layer. We employ a near-eutectic approximation and consider the limit of large fareld temperature. These asymptotic limits allow us to examine the rich dynamics of the mushy layer in the form of small deviations from the classical case of convection in a ho...
متن کاملThe Phase Transition in Constraint Satisfaction Problems: A Closer Look at the Mushy Region
This paper examines the phase transition, in which the probability that there is a solution decreases from 1 to 0 as the constraints become increasingly tight, for a class of binary constraint satisfaction problems. In particular, it considers the mushy region, i.e. those values of the constraint tightness for which random samples of problems contain both soluble and insoluble instances. The pa...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1990
ISSN: 0307-904X
DOI: 10.1016/0307-904x(90)90084-i