Developing laminar mixed convection with solidification in a vertical channel

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/10.1115/1.3250500· OSTI ID:5465402

Bennon, W D; Incropera, F P ^[1]

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1. Purdue Univ., Layfayette, IN (USA)

Solidification of both high and low Prandtl number fluids (n-octadecane and aluminum) is considered for downward, mixed convection in the entrance region between vertical parallel plates symmetrically cooled below the fusion temperature. A continuum model is used to formulate a set of steady, two-dimensional parial differential equations, which include the influences of both axial diffusion and thermal buoyancy. The equations are solved using a fully elliptic, control-volume-based-finite-difference scheme. Results reveal that, for a given phase change system, conditions are uniquely determined by Grashof-to-Reynolds number ratio, Gr/Re, a Peclet number Pe, and a characteristic dimensionless temperature. Limiting cases involving both large and small values of Pe have been considered, and the effect of Gr/Re on thermally induced flow reversal in the fluid core has been determined.

• OSTI ID: 5465402
• 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
DIFFUSION
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
GRASHOF NUMBER
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL MODELS
NUMERICAL SOLUTION
ORIENTATION
PHASE TRANSFORMATIONS
PLATES
REYNOLDS NUMBER
SOLIDIFICATION