Natural Convection Heat Transfer of Water Within a Horizontal Cylindrical Annulus With Density Inversion Effects

[+] Author and Article Information
P. Vasseur, L. Robillard, B. Chandra Shekar

Department of Civil Engineering, Ecole Polytechnique, Université de Montréal, C.P. 6079, Succursale “A”, Montreal, Canada H3C 3A7

J. Heat Transfer 105(1), 117-123 (Feb 01, 1983) (7 pages) doi:10.1115/1.3245529 History: Received September 15, 1981; Online October 20, 2009


The effect of density inversion on steady natural convection heat transfer of cold water, between two horizontal concentric cylinders of gap width, L, is studied numerically. Water near its freezing point is characterized by a density maximum at 4°C. Numerical solutions are obtained for cylinders with nonlinear Rayleigh numbers RA ranging from 2 × 103 to 7.6 × 104 , a radius ratio 1.75 ≤ ra ≤ 2.6 and an inversion parameter γ, relating the temperature for maximum density with the cavity wall temperatures, between −2 and 2. The results obtained are presented graphically in the form of streamline and isotherm contour plots. The heat transfer characteristics, velocity profiles, and local and overall Nusselt numbers are studied. The results of the present study were found qualitatively valid when compared with an experimental investigation carried out in the past.

Copyright © 1983 by ASME
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