Theory of melting with natural convection in an enclosed porous medium

Journal Article · Mon May 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/10.1115/1.3250692· OSTI ID:6069028

Bejan, A ^[1]

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1. Duke Univ., Durham, NC (United States)

This paper reports a complete theory of the melting that occurs in a confined porous medium saturated with phase-change material and heated from the side. Darcy flow characteristics are assumed for the liquid phase. The solid phase is isothermal and at the melting point. The first part of the paper reports a matched boundary layer solution for natural convection dominated melting in the quasi-steady regime. The second part reports a solution for the heat transfer during the two earlier regimes, pure conduction followed by mixed conduction and convection. Together, the two solutions cover the entire history of transient heating administered from the side. This theory shows that the liquid-side Stefan number has a profound effect on the heat transfer and melting rates.

• OSTI ID: 6069028
• 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. 111:2; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOUNDARY CONDITIONS
CONVECTION
ENERGY TRANSFER
HEAT TRANSFER
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
MELTING
MOVING-BOUNDARY CONDITIONS
NATURAL CONVECTION
PHASE CHANGE MATERIALS
PHASE TRANSFORMATIONS
POROUS MATERIALS
SATURATION