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 partial 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 a 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.
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Developing Laminar Mixed Convection With Solidification in a Vertical Channel
W. D. Bennon,
W. D. Bennon
School of Mechanical Engineering, Purdue University, W. Lafayette, IN 47907
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F. P. Incropera
F. P. Incropera
School of Mechanical Engineering, Purdue University, W. Lafayette, IN 47907
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W. D. Bennon
School of Mechanical Engineering, Purdue University, W. Lafayette, IN 47907
F. P. Incropera
School of Mechanical Engineering, Purdue University, W. Lafayette, IN 47907
J. Heat Transfer. May 1988, 110(2): 410-415 (6 pages)
Published Online: May 1, 1988
Article history
Received:
April 9, 1987
Online:
October 20, 2009
Citation
Bennon, W. D., and Incropera, F. P. (May 1, 1988). "Developing Laminar Mixed Convection With Solidification in a Vertical Channel." ASME. J. Heat Transfer. May 1988; 110(2): 410–415. https://doi.org/10.1115/1.3250500
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