A heat transfer analysis for solidification of slabs, cylinders, and spheres

Journal Article · Tue Aug 01 00:00:00 EDT 1989 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250739· OSTI ID:5899488

Prud'homme, M; Nguyen, T H ^[1]; Nguyen, D L ^[2]

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1. Univ. de Montreal, Quebec (Canada)
2. Inst. de Recherche d'Hydro-Quebec, Varennes (Canada)

The method of strained coordinates is applied to the inward solidification problem. Constant thermal properties are assumed throughout the analysis for the liquid, which is initially at the fusion temperature. A unified approach is adopted that allows the simultaneous treatment of the problem in plane, cylindrical, and spherical geometries for three different types of boundary condition. A general recurrence formula is derived for the determination of the series solutions up to any desired order of the Stefan number. A comparison is made with numerical and regular perturbation solutions in the plane case to illustrate the usefulness and the validity of the method.

• OSTI ID: 5899488
• 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. 111:3; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CALCULATION METHODS
CASTING
CHEMISTRY
CONVECTION
COOLING
ELECTROCHEMISTRY
ENERGY TRANSFER
FABRICATION
HEAT TRANSFER
JOINING
MASS TRANSFER
MATHEMATICS
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS
REFRIGERATION
THERMAL CONDUCTION
WELDING