A Stefan problem with contact resistance

Journal Article · Sun Nov 01 04:00:00 EST 1987 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3248187· OSTI ID:5412776

Barry, G W ^[1]; Gooding, J S ^[2]

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1. Lehigh Univ., Bethlehem, PA (USA)
2. Auburn Univ., AL (USA)

A Stefan problem in which a semi-infinite molten material at the fusion temperature solidifies as a result of imperfect thermal contact with a cooler semi-infinite solid is considered. The contact resistance, due to surface roughness, is modeled by a convective boundary condition. Biot's variational principle is used to reduce the coupled partial differential equations to a pair of coupled ordinary differential equations that are solved numerically. The position of moving boundary as a function of time is given for both bismuth and aluminium solidifying on stainless steel.

• OSTI ID: 5412776
• Journal Information: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 109:4; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
ALLOYS
ALUMINIUM
BISMUTH
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
CRITICAL TEMPERATURE
ELEMENTS
HIGH ALLOY STEELS
IRON ALLOYS
IRON BASE ALLOYS
MATHEMATICAL MODELS
METALS
MOVING-BOUNDARY CONDITIONS
PHASE STUDIES
PHYSICAL PROPERTIES
STAINLESS STEELS
STEELS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE