The mushy zone in a phase change model of a semitransparent material with internal radiative transfer

Journal Article · Mon Feb 01 04:00:00 EST 1988 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250463· OSTI ID:6119433

Chan, S H; Hsu, K Y ^[1]

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1. Univ. of Wisconsin, Milwaukee (United States)

The essence of this tech note is to convey the idea that in an idealized way the mushy zone evolves naturally in the phase change heat transfer analysis, without the necessity of postulating the existence of such a mushy zone and then analyzing the impact of the mushy zone on the phase change as was done in all previous studies (Chen et al., 1980, 1981, 1983, 1984; Rivard an Scott, 1976; Oruma et al., 1985; Beckett, 1985). This is accomplished by employing the well-known enthalpy method, which by the way, possesses some mathematical advantages, such as simplifying the mathematical complexity of moving interfaces in three zones and eliminating the mathematical singularity difficulty encountered in another method (Chan and Beirutty, 1981). To ensure the accuracy of the numerical results, solutions are first obtained for the identical problem (namely, solidification of a semi-infinite liquid) solved previously (Chan et al., 1981, 1983), except longer time solutions in dimensionless form are now presented. An extension is made to solve for a finite slab geometry where no prior solutions are available.

• OSTI ID: 6119433
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 110:1; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

25 ENERGY STORAGE
250600* -- Energy Storage-- Thermal
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
ELECTROMAGNETIC RADIATION
HEATING
MATERIALS
MATHEMATICAL MODELS
PHASE CHANGE MATERIALS
PHASE TRANSFORMATIONS
RADIATIONS
THERMAL RADIATION