Hybrid model for solidification and convection

Journal Article · Tue Sep 01 04:00:00 EDT 1992 · Numerical Heat Transfer. Part B, Fundamentals; (United States)

DOI:https://doi.org/10.1080/10407799208944917· OSTI ID:5318868

Oldenburg, C M ^[1]; Spera, F J ^[2]

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1. Earth Sciences Div. 50E, Lawrence Berkeley Lab., Berkeley, CA (US)
2. Dept. of Geological Sciences and Inst. for Crustal Studies, Univ. of California, Santa Barbara, CA (US)

This paper presents a hybrid model for continuum phase-change problems. The hybrid model accounts for flow in regions of concentrated mush, dilute mush, and single-phase liquid. Scale analysis shows that, in dilute mush, the Blake-Lozeny-Carman relation may lead to inaccuracy in the continuum formulation for certain values of the Rayleigh and Darcy numbers. The hybrid model uses arctangent switching functions to switch on the Darcy flow and variable viscosity terms depending on the local value of the fraction solid. Two-dimensional example calculations suggest that the hybrid model more accurately accounts for transport in the dilute mush region.

• OSTI ID: 5318868
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 21:2; ISSN NHBFE; ISSN 1040-7790
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
CONVECTION
DARCY LAW
ENERGY TRANSFER
FLUIDS
HEAT FLOW
HEAT TRANSFER
LIQUIDS
MASS TRANSFER
THERMODYNAMICS
TWO-DIMENSIONAL CALCULATIONS
VISCOSITY