A mushy zone model with an exact solution

Journal Article · Thu Jul 01 04:00:00 EDT 1982 · Lett. Heat Mass Transfer; (United States)

DOI:https://doi.org/10.1016/0094-4548(82)90040-6· OSTI ID:5265465

Solomon, A D; Alexiades, V; Wilson, D G

The authors propose a very simple model of a mushy zone which admits of an explicit solution. To their knowledge, it is the only instance where an actual observation of the mushy zone width and structure is used as a partial basis for the model definition. The model rests upon two unknown parameters. The first determines the relation between the equilibrium temperature gradient and the mushy zone width. The second depends upon the dendritic structure in the mushy zone, and is related to the solid fraction. Both can be estimated from experiments. The authors define the model, present its closed form solution, and give tables from which the solution can be found explicitly. It is seen that in most cases the predicted mushy zone is of very small width.

• Research Organization: Mathematics and Statistics Research Department, Computer Sciences Division, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tennessee 37830
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 5265465
• Journal Information: Lett. Heat Mass Transfer; (United States), Journal Name: Lett. Heat Mass Transfer; (United States) Vol. 9:4; ISSN LHMTB
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COMPUTERIZED SIMULATION
CRYSTAL GROWTH
CRYSTALS
DENDRITES
DIMENSIONS
MATHEMATICAL MODELS
PARAMETRIC ANALYSIS
SIMULATION
SOLIDS
TABLES
TEMPERATURE GRADIENTS
WIDTH