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Natural convection in an inclined square cavity in regions of density inversion of water

Published online by Cambridge University Press:  20 April 2006

Hideo Inaba  and
Takeyuki Fukuda
Hideo Inaba
Affiliation:
Department of Mechanical Engineering, Katami Institute of Technology, Koen-Cho 165, Kitami, Hokkaido 090, Japan
Takeyuki Fukuda
Affiliation:
Department of Mechanical Engineering, Katami Institute of Technology, Koen-Cho 165, Kitami, Hokkaido 090, Japan
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Abstract

The steady laminar natural convection of water in an inclined square cavity is investigated experimentally and analytically at temperatures in the neighbourhood of maximum density near 4°C. One hot wall of the square cavity is maintained at various uniform temperatures from 2 to 20°C and the opposing cold wall is kept at a uniform temperature of 0°C, while the other walls are thermally insulated. Photographs and analytical descriptions of the flow patterns, temperature profiles in the water layer and average heat-transfer coefficients are presented in this paper for various surface temperatures Th of the hot wall and inclination angles of the square cavity θ from 0° (heated from below) to 180° (heated from above) by 30° intervals. From this study it should be noted that the density inversion of water has a strong effect on the natural convection occurring in the inclined square cavity, and the average heat-transfer coefficient is a peculiar function of the surface temperature of the hot wall, unlike previous results for Boussinesq fluids without density inversion. Solutions of the governing equations for steady two-dimensional laminar natural convection are obtained numerically, and the results obtained agree reasonably well with the experimental ones in the ranges of 30° < θ ≤ 180° for Th > 8°C, 0° ≤ θ ≤ 120° for Th < 8°C, and 0° ≤ θ ≤ 180° for Th = 8°C.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 142 , May 1984 , pp. 363 - 381
Copyright
© 1984 Cambridge University Press

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References

Buchberg, H., Catton, I. & Edwards, D. K. 1976 Trans. ASME C: J. Heat Transfer 98, 182.Google Scholar
Clever, R. M. & Busse, F. H. 1977 J. Fluid Mech. 81, 107.
Degraaf, J. G. A. & Van Der Held, E. F. M. 1953 Appl. Sci. Res. 3, 393.
Hart, J. E. 1971 J. Fluid Mech. 47, 547.
Hennecke, D. K., Sparrow, E. M. & Eckert, E. R. G. 1971 Wärme- und Stoffübertragung 4, 222.
Krishnamarti, R. 1970 J. Fluid Mech. 42, 295.
Linthorst, S. J. M., Schinkel, W. M. M. & Hoogenoorn, C. J. 1981 Trans. ASME C: J. Heat Transfer 103, 535.Google Scholar
Merker, G. P. & Straub, J. 1982 Wärme- und Stoffübertragung 16, 63.
O'Toole, J. L. & Silveston, D. L. 1961 Chem. Engng Prog. Symp. Ser. 57, 81.
Ozoe, H. Sayama, H. & Churchill S. 1977 Intl J. Heat Mass Transfer 20, 123.
Ruth, D. W., Raithby, G. D. & Hollands, K. G. T. 1980 J. Fluid Mech. 96, 481.
Seki, N., Fukusako, S. & Inaba, H. 1978 Wärme- und Stoffübertragung 11, 145.
Sugawara, M., Fukusako, S. & Seki, N. 1974 Trans. JSME 40, 3155.
Sun, Z. S., Tien, C. & Yen, Y. C. 1969 AIChE J. 15, 910.
Tien, C. 1968 AIChE J. 14, 652.
Watson, A. 1972 Q. J. Mech. Appl. Maths 15, 423.