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Thermosolutal Convection in an Inclined Rectangular Enclosure with a Partition

Published online by Cambridge University Press:  05 May 2011

L. W. Wang ,
Y. C. Kung ,
C. Y. Wu ,
M. F. Kang  and
S. L. Wang
L. W. Wang*
Affiliation:
Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Taiwan 320, R.O.C.
Y. C. Kung*
Affiliation:
Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Taiwan 320, R.O.C.
C. Y. Wu*
Affiliation:
Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Taiwan 320, R.O.C.
M. F. Kang*
Affiliation:
Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Taiwan 320, R.O.C.
S. L. Wang*
Affiliation:
Department of Mechanical Engineering, NanYa Institute of Technology, Taoyuan, Taiwan 360, R.O.C.
*
*Professor
***Research Assistant
***Research Assistant
***Research Assistant
**Associate Professor
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Abstract

An experimental study of thermosolutal convection in an inclined rectangular enclosure with a partition is presented in this article. Aspect ratio, partition ratio, and inclination angle were kept constant at Ar =0.5, Ap = 0.25 and φ = 30°, respectively. The convective flow is generated by both inclined temperature and concentration gradients under limiting current condition. Both the thermal and solutal buoyancies, which either cooperated or opposed one another, were induced from the copper plates. The temperature gradient was maintained and controlled using two separate constant temperature baths that circulated heated or cooled water through a heat exchanger. We used copper sulphate-sulfuric acid solution as both the working fluid and the electrolyte. An electrochemical method based on a diffusion-controlled electrode reaction was employed to create the concentration gradient. We used the shadowgraph recording technique to visualize and analyze the flow field phenomenon. Thermal Grashof numbers ranging from 8.16 × 105 to 16.32 × 105 and a solutal Grashof number Grm = 4.36 × 106 were investigated. It is demonstrated that the mass transfer rate increases with the increasing thermal Grashof numbers within our experimental ranges. Multilayer structures are found in the cooperating case or the opposing case.

Keywords

Thermosolutal convectionLimiting currentPartitions.
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 3 , September 2004 , pp. 233 - 239
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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References

1.Ostrach, S., “Fluid Mechanics in Crystal Growth— The 1982 Freeman Scholar Lecture,” J. Fluid Eng., 105, pp. 5–20 (1982).CrossRefGoogle Scholar
2.Wang, L. W., Kamotani, Y. and Ostrach, S., “Experimental Study of Natural Convection in a Shallow Horizontal Cavity with Different End Temperatures and Concentrations,” Rep. FTAS/TR-82–164, Case Western Reserve University, Cleveland, Ohio (1983).Google Scholar
3.Kamotani, Y., Wang, L. W., Ostrach, S. and Jiang, H. D., “Experimental Study of Natural Convection in Shallow Enclosures with Horizontal Temperature and Concentration Gradients,” Int. J. Heat Mass Transfer, 28(1), pp. 165–173(1985).CrossRefGoogle Scholar
4.Browmn, W. G. and Solvason, K. R., “Natural Convection through Rectangular Openings in Partitions,” Int. J. Heat Mass Transfer, 5, pp. 859–868 (1962).Google Scholar
5.Chang, J., Lin, T. F. and Chien, C. H., “Unsteady Thermosolutal Opposing Convection of a Liquid-Water Mixture in a Square Cavity,” Int. J. Heat Mass Transfer, 36(5), pp. 1315–1331 (1993).Google Scholar
6.Kamakura, K., “Experimental and Numerical Analyses of Double Diffusive Natural Convection Heated and Cooled Form Opposing Vertical Walls with an Initial Condition of a Vertically Linear Concentration Gradient,” Int. J. Heat Mass Transfer, 36, pp. 2125–2134(1993).CrossRefGoogle Scholar
7.Weaver, J. A. and Viskanta, R., “Natural Convection in Binary Gases due to Horizontal Thermal and Solutal Gradients,” Int. J. Heat Mass Transfer, 133, pp. 141–147(1991).Google Scholar
8.Lee, J., Hyun, M. T. and Kim, K. W., “Natural Convection in Confined Fluids with Combined Horizontal Temperature and Concentration Gradients,” Int. J. Heat Mass Transfer, 31(10), pp. 1969–1977 (1988).Google Scholar
9.Mamou, M. and Vasseur, P., “Hysterisis Effect on Thermosolutal Convection with Opposed Buoyancy Forces in Inclined Enclosure,” Int. Comm. Heat Mass Transfer, 26(3), pp. 421–430 (1999).Google Scholar
10.Gau, C. and Jeng, D. Z., “Solutal Convection and Mass Transfer in Inclined Enclosures,” J. of Thermophysics and Heat Transfer, 9(2), pp. 262–269 (1995).CrossRefGoogle Scholar
11.Wang, L. W., Deng, Z. F.Wang, S. L. and Kung, Y. C., “Thermosolutal Convection in a Partially Divided Square,” Experimental Heat Transfer, 13, pp. 211–221 (2000).Google Scholar
12.Wang, L. W., Wang, P. J. and Kung, Y. C., “Thermosolutal Convection in a Rectangular Enclosure with Two-Lower-Partition in Cooperating Case,” Experimental Heat Transfer, 15, pp. 107–120 (2002).Google Scholar
13.Wang, L. W., Wang, P. J. and Kung, Y. C., “Double-Diffusive Convection in a Two-Upper-Partition Rectangular Enclosure,” 16, pp. 191–209 (2003).Google Scholar
14.Gau, C. and Wu, K. H., “A Nonintrusive Technique for Measurement of Concentration Distribution in Enclosure,” Experimental Heat Transfer, 2, pp. 215–226 (1989).Google Scholar
15.Wilke, C. R.Eisenberg, M. and Tobias, C. W. “Correlation of Limiting Current under Free Convection Conditions,” J. Electrochem. Soc., 100, pp. 513–523 (1953).Google Scholar