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Investigation Of Buoyancy Effects in Non-Isothermal Rotating Flows by Scaling Analysis and a Novel Similarity Model

Published online by Cambridge University Press:  05 May 2011

C. Y. Soong*
Affiliation:
Department of Aeronautical Engineering, Chung Cheng Institute of Technology, Taoyuan, Taiwan 33509, R.O.C
C. H. Chyuan*
Affiliation:
Graduate School of Defense Science Studies, Chung Cheng Institute of Technology, Taoyuan, Taiwan 33509, R.O.C
*
*Professor
**Ph.D. candidate
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Abstract

The objective of the present study is to investigate the buoyancy effects induced by various body forces in non-isothermal rotating fluids. The buoyancy effects stemmed from the gravity, the centrifugal and Coriolis forces generated by system rotation, and the curvilinear motion of the fluids are all taken into account. Mixed convection between two disks rotating at different rates is employed as the physical model. The present work is the first study for detailed investigation of the various buoyancy forces in the class of non-isothermal flows. Complete system of axially-symmetric thermal flow model with assumption of Boussinesq fluids is formulated. By a scaling analysis and the solutions of a novel similarity model developed in this work, the relative importance of the buoyancy effects induced by various body forces is explored. The present work discloses the significance of the rotation-induced buoyancy effects under various conditions and is useful in understanding the mechanisms as well as modeling the mixed convection heat transfer in the class of rotating thermal flows.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

REFERENCES

1.von Karman, T., “Uber Laminare und Turbulente Reibung,” Z Angew. Math. Mech., Vol. 1, pp. 233252 (1921).Google Scholar
2.Batchelor, G. K., “Note on a Class of Solutions of the Navier-Stokes Equations Representing Steady Rotationally-Symmetrical Flow,” Quart. J. Mech. Appl Math., Vol. 4, pp. 2941 (1951).CrossRefGoogle Scholar
3.Stewartson, K., “On the Flow Between Two Rotating Coaxial Disks,” Proc. Camb. Phil. Soc, Vol. 49, pp. 333341 (1953).Google Scholar
4.Lance, G. N. and Rogers, M. H., “The Axially Symmetric Flow of a Viscous Fluid Between Two Infinite Rotating Disks,” Proc. Roy. Soc. A, Vol. 266, pp. 109121 (1962).Google Scholar
5.Riley, N., “Thermally Induced Boundary-Layer Flows in a Rotating Environment,” J. Fluid Mech., Vol. 29, Part 2, pp. 241257 (1967).Google Scholar
6.Hudson, J. L., “Convection Near a Cooled Disk Rotating with Its Environment,” Int. J. Heat Mass Transfer, Vol. 11, pp. 407414 (1968).Google Scholar
7.Hudson, J. L., “Non-Isothermal Flow Between Rotating Disks,” Chem. Eng. Sci., Vol. 11, pp. 407414 (1968).Google Scholar
8.Homsy, G. M. and Hudson, J. L., “Centrifugal Driven Thermal Convection in a Rotating Cylinder,” J. Fluid Mech., Vol. 35, Part 1, pp. 3352 (1969).CrossRefGoogle Scholar
9.Soong, C. Y. and Yan, W. M, “Numerical Study of Mixed Convection Between Two Corotating Symmetrically Heated Disks,” AIAA J. Thermophysics Heat Transfer, Vol. 7, No. 1, pp. 165170, January∼March (1993).Google Scholar
10.Soong, C. Y. and Ma, H. L., “Unsteady Analysis of Non-Isothermal Flow and Heat Transfer Between Rotating Co-Axial Disks,” Int. J. Heat Mass Transfer, Vol. 38, No. 10, pp. 18651878 (1995).Google Scholar
11.Soong, C. Y, “Theoretical Analysis for Axisymmetric Mixed Convection Between Rotating Coaxial Disks,” Int. J. Heat Mass Transfer, Vol. 39, No. 8, pp. 15691583 (1996).Google Scholar
12.Soong, C. Y., “Prandtl Number Effects on Mixed Convection Between Rotating Coaxial Disks,” Int. J. Rotating Machinery, Vol. 2, No. 3, pp. 161166 (1996).Google Scholar
13.Herrero, J., Humphrey, J. A. E. and Giralt, R, “Comparative Analysis of Coupled Flow and Heat Transfer Between Corotating Disks in Rotating and Fixed Cylindrical Enclosures,” in Heat Transfer in Gas Turbines, ASME HTD-Vol. 300, edited by Chyu, M. K. and Nirmalan, N. V., ASME, pp. 111121 (1994).Google Scholar