Developing Laminar Mixed Convection With Solidification in a Vertical Channel

[+] Author and Article Information
W. D. Bennon, F. P. Incropera

School of Mechanical Engineering, Purdue University, W. Lafayette, IN 47907

J. Heat Transfer 110(2), 410-415 (May 01, 1988) (6 pages) doi:10.1115/1.3250500 History: Received April 09, 1987; Online October 20, 2009


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.

Copyright © 1988 by ASME
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