Prediction of conjugate heat transfer in a solid-liquid system: Inclusion of buoyancy and surface tension forces in the liquid phase

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250738· OSTI ID:6018935

Keller, J R; Bergman, T L ^[1]

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1. Univ. of Texas, Austin (United States)

Numerical predictions have been obtained for steady-state conjugate heat transfer in an open rectangular cavity. For the geometry considered, fluid motion is driven by augmenting buoyancy and surface tension forces. Predictions of the steady-state solid volume fraction and various solid thicknesses were obtained for a high Prandtl number fluid characterized by various Rayleigh and Marangoni (Ma) numbers. Due to numerical difficulties associated with large surface tension effects, a limited range of Ma was investigated (Ma {le} 250). The predictions show that surface tension induced flow can affect the solid geometry and, ultimately, freezing or melting rates. Specifically, the solid-liquid interface shape is altered, the steady-state solid volume fraction is decreased, and the solid thickness at the top surface is smaller, compared to the pure buoyancy-driven case. The dimensionless solid volume fraction and solid thicknesses are related to the governing dimensionless parameters of the problem. Finally, predictions are made for high Marangoni number flows (Ma > > 250) to demonstrate the potential governing influence of surface tension effects in phase-change systems.

• OSTI ID: 6018935
• 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
CASTING
CAVITIES
CONVECTION
CRYSTAL GROWTH
ELEMENTS
ENERGY TRANSFER
FABRICATION
HEAT TRANSFER
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
METALS
NATURAL CONVECTION
PHASE CHANGE MATERIALS
PHASE TRANSFORMATIONS
SURFACE PROPERTIES
SURFACE TENSION