Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-13T02:36:40.335Z Has data issue: false hasContentIssue false

Thermosolutal Convection in An Annular Enclosure with Steps

Published online by Cambridge University Press:  05 May 2011

L. W. Wang*
Affiliation:
College of General Studies, Yuan Ze University, Taoyuan, Taiwan 32003, R.O.C.
Y. C. Kung*
Affiliation:
College of General Studies, Yuan Ze University, Taoyuan, Taiwan 32003, R.O.C.
Y. S. Chen*
Affiliation:
College of General Studies, Yuan Ze University, Taoyuan, Taiwan 32003, R.O.C.
M. F. Kang*
Affiliation:
College of General Studies, Yuan Ze University, Taoyuan, Taiwan 32003, R.O.C.
F. C. Hsu*
Affiliation:
College of General Studies, Yuan Ze University, Taoyuan, Taiwan 32003, R.O.C.
*
*Professor, Corresponding author
**Staff R and D Thermal Engineer
***Ph.D.
****Master
****Master
Get access

Abstract

This study attempts to examine convection caused by the combined effects of temperature and concentration gradients in an annular enclosure with steps. An experimental study of thermosolutal convection of a CuSO4+ H2SO4+ H2O solution in a horizontal annular enclosure with steps is conducted using an electrochemical system that enables either opposing or cooperating in temperature and concentration gradients to be imposed. The shadowgraph recording technique is utilized to visualize and analyze the flow field phenomenon. The large difference between the thermal and solutal diffusion rates causes the flow to exhibit double-diffusive characteristics. In both cooperating and opposing cases, some finger-type flow can be visualized in the layered flow structure. Furthermore, Sh (mass transfer rate) increased with increasing Grt for fixed Grm and S*. Sh is larger in the cooperating case than in the opposing case for given Grt and Grm values.

Type
Technical Note
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Ostrach, S., “Natural Convection with Combined Driving Force,” PCH:Physico Chemical Hydrodynamics, 1, pp. 233247 (1980).Google 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,” International Journal for Heat Mass Transfer, 28, pp. 165173 (1985).CrossRefGoogle Scholar
4.Ostrach, S., “Fluid Mechanics in Crystal Growth-The 1982 Freeman Scholar Lecture,” Journal for Fluid Eng., 105 pp. 520 (1982).CrossRefGoogle Scholar
5.Powe, R. E., Carley, C. T. and Carruth, S. L., “A Numerical Solution for Natural Convection in Cylindrical Annuli,” Journal for Heat Transfer, 92, pp. 210220 (1971).CrossRefGoogle Scholar
6.Mahony, D. N., Kumar, R. and Bishop, E. H., “Numerical Investigation of Variable Property Effects on Laminar Natural Convection of Gases between Two Horizontal Isothermal Concentric Cylinders,” ASME Journal for Heat Transfer, 108, pp. 783789 (1986).CrossRefGoogle Scholar
7.Dosch, J. and Beer, H., “Numerical Simulation and Holographic Visualization of Double Diffusive Convection a Horizontal Concentric Annulus,” International Journal for Heat Mass Transfer, 35, pp. 18111821 (1992).CrossRefGoogle Scholar
8.Wang, L. W. and Chou, C. C., “Experimental Study of Natural Convection Heat and Mass Transfer in an Annular Enclosure with a Cold Inner Cylinder,” Experimental Heat Transfer, 4, pp. 367380 (1991).CrossRefGoogle Scholar
9.Wang, L. W. and Wei, C. Y., “Thermosolutal Convection Heat and Mass Transfer in a Vertical Annular Enclosure,” Experimental Heat Transfer, 5, pp. 315328 (1992).CrossRefGoogle Scholar
10.Wilke, C. R., Eisenberg, M. and Tobias, C. W., “Correlation of Limiting Current under Free Convection Conditions,” J. Electrochem. Soc., 100, pp. 513523 (1953).CrossRefGoogle Scholar
11.Newman, J., Electrochemical Systems, Prentice-Hall, Englewood Cliffs, New Jersey, USA (1991).Google Scholar
12.Lo, D. C., Liao, T., Young, D. L. and Gou, M. H., “Velocity-Vorticity Formulation for 2-D Natural Convection in an Inclined Cavity by the DQ Method,” Journal of Mechanics, 23, pp. 261268 (2007).CrossRefGoogle Scholar