Scales of melting in the presence of natural convection in a rectangular cavity filled with porous medium

Journal Article · Sun May 01 00:00:00 EDT 1988 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250522· OSTI ID:5404042

Jany, P; Bejan, A ^[1]

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1. Duke Univ., Durham, NC (USA)

The problem of heat transfer during melting and soldification is relevant in numerous technical applications, for example, in the areas of thermal energy storage, food treatment, soil and groundwater physics, and the design of heat pump heat exchangers buried in the ground. Mathematical solutions based on the pure conduction model have been possible since Stefan's studies last century. Considerably more challenging is the problem of melting and solidification in the presence of convection. The present note focuses on the basic problem of melting in a rectangular porous domain heated from the side. The main features of the heat transfer phenomenon are anticipated on the basis of scale analysis. These predictions are later compared with results form a numerical finite-difference simulation.

• OSTI ID: 5404042
• 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. 110:2; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CAVITIES
CONVECTION
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
FLUIDS
HEAT TRANSFER
ITERATIVE METHODS
LIQUIDS
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
MELTING
NATURAL CONVECTION
NUMERICAL SOLUTION
PARAMETRIC ANALYSIS
PHASE TRANSFORMATIONS
PLATES
POROUS MATERIALS
SCALING LAWS
SOLIDIFICATION