Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-17T10:14:11.785Z Has data issue: false hasContentIssue false

Convective Heat Transfer of the Flow through a Rotating Circular Straight Pipe

Published online by Cambridge University Press:  05 May 2011

U. Lei*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Arthur C. Y. Yang*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Professor
** Director, Optical Recording Group, Key Technology Corporation
Get access

Abstract

Laminar heat transfer for large ranges of Reynolds numbers, rotational Reynolds numbers, and Prandtl numbers are studied numerically for incompressible fully developed flow in a circular straight pipe, which is rotating constantly about an axis perpendicular to its own axis under the constant wall temperature gradient condition. There exist four types of local Nusselt number distributions associated with the four different flow regimes for different parameters depending on the relative importance of different forces. Correlations of the averaged Nusselt number are also provided. When the Prandtl number is sufficiently large, the temperature distribution in the core is determined essentially by the secondary flow. Scaling analyses are provided for understanding the essential physics of the problem.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

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

1Ito, H. and Nanbu, K., “Flow in Rotating Straight Pipes of Circular Cross Section,” J. Basic Eng., Vol. 93, pp. 383394 (1971).CrossRefGoogle Scholar
2Mori, Y. and Nakayama, W., “Convective Heat Transfer in Rotating Radial Circular Pipes (1st Report),” Int. J. Heat Mass Transfer, Vol. 11, pp. 10271240 (1968).Google Scholar
3Lei, U. and Hsu, C. H., “Flow through Rotating Straight Pipe,” Phys. Fluids A, Vol. 2, pp. 6375 (1990).CrossRefGoogle Scholar
4Berman, J. and Mockros, L. F., “Flow in a Rotating Non-Aligned Straight Pipe,” J. Fluid Mech., Vol. 144, pp. 297310 (1984).CrossRefGoogle Scholar
5Mori, Y., Fukada, T. and Nakayama, W., “Convective Heat Transfer in Rotating Radial Circular Pipe (2nd Report),” Int. J. Heat Mass Transfer, Vol. 14, pp. 18071824 (1971).CrossRefGoogle Scholar
6Lei, U., “On the Local Heat Transfer of the Flow through a Non-Aligned Rotating Straight Pipe,” Bulletin of College of Engineering, National Taiwan Univ., No. 57, pp. 3151 (1993).Google Scholar
7Jen, T. C., Lavine, A. S. and Hwang, G. J., “Simultaneously Developing Laminar Convection in Rotating Isothermal Square Channels,” Int. J. Heat Mass Transfer, Vol. 35, pp. 239254 (1992).Google Scholar
8Soong, C. Y., Lin, S. T. and Hwang, G. J., “An Experimental Study of Convective Heat Transfer in Radially Rotating Rectangular Ducts,” ASME J. Heat Transfer, Vol. 113, pp. 604611 (1991).CrossRefGoogle Scholar
9Clifford, R. J., Morris, W. D. and Harasgama, S. P., “An Experimental Study of Local and Mean Heat Transfer in a Triangular-Sectioned Duct Rotating in the Orthogonal Mode,” ASME J. Eng. Gas Turbine and Power, Vol. 106, pp. 661667 (1984).CrossRefGoogle Scholar
10Wagner, J. H., Johnson, B. V. and Kopper, F. C., “Heat Transfer in Rotating Serpentine Passages with Smooth Walls,” ASME J. Turbomachinery, Vol. 113, pp. 321330 (1991).CrossRefGoogle Scholar
11Morris, W. D., Heat Transfer and Fluid Flow in Rotating Collant Channels, Wiley, New York (1981).Google Scholar
12Cendral, J., Marce, J. L. and Guyenne, T. D. ed., Attlitude Control of Space Vehicles: Technological and Dynamical Problems Associated with the Presence of Liquids, Proceeding of an International Conference, Toulouse, France, 10-12 October (1977).Google Scholar
13Kays, W. M. and Crawford, , Convective Heat and Mass Transfer, 2nd ed., McGraw-Hill, New York (1980).Google Scholar
14Collins, W. M. and Dennis, S. C. R., “The Steady Motion of a Viscous Fluid in a Curved Tube,” Quart. J. Mech. Appl. Math., Vol. 28, pp. 133156 (1975).CrossRefGoogle Scholar
15Yang, Arthur, C. J., “Calculations of the Fluid Flow and Heat Transfer in a Rotating Straight Pipe,” Master Thesis, National Taiwan University (1990).Google Scholar