Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-10T16:40:50.245Z Has data issue: false hasContentIssue false
  • English
  • Français

Simulation of Flow Induced Vibrations of Tube Bundle in Cross Flow

Published online by Cambridge University Press:  05 May 2011

Tsun-Kuo Lin  and
Ming-Huei Yu
Tsun-Kuo Lin*
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, R.O.C.
Ming-Huei Yu*
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, R.O.C.
*
*Graduate Student
**Associate Professor
Get access

Abstract

The flow-induced vibration of tubes in a rotated triangular array subject to cross flow is simulated numerically. In the study, the flow field around the tube bundle is computed by solving the continuity and Navier-Stokes equations with assumption of constant fluid properties, and the kε-model for turbulent Reynolds stress. With the flow field known, the fluid forces on the tube surfaces can be calculated, and then the displacement of each tube due to the fluid force can be evaluated. Iteration is needed to obtain the dynamic response of the tube structure in the fluid flow. The parameters in the study are inlet velocity of the cross flow and properties of the tube bundle including natural frequency, damping factor, and mass. Based on the tube response, the critical flow conditions of tube vibration are determined for varying mass damping. Once tube vibrations occur, it is shown that the vibrations of the tubes in the second and fourth tube rows are significant as compared to other tubes. The orbits of the tube vibration look like an ellipse with major axis in the cross-stream direction, implying large lift force on the tubes. The dominant frequency in the spectrum of lift coefficients of the tubes is the same as the natural frequency, and the corresponding amplitude is increased with increasing the inlet velocity. The calculated data predicted for the critical reduced velocity agrees well with the data by Kassera and Strohmeier [17].

Keywords

Flow-induced vibrationComputational fluid dynamicsCross flowTube bundle
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 3 , September 2001 , pp. 139 - 147
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

1Connors, H. J., “Fluidelastic Vibration of Tube Arrays Excited by Cross Flow,” paper presented at the Symposium on Flow Induced Vibration in Heat Exchangers, ASME Winter Annual Meeting (1970).Google Scholar
2Chen, S. S., Flow Induced Vibration of Circular Cylinder Structures, Springer-Verlag, Berlin (1987).Google Scholar
3Blevins, R. D., Flow-Induced Vibration, Van Nostrand Reinhold, New York, NY (1990).Google Scholar
4Lever, J. H. and Weaver, D. S., “On the Stability Behavior of Heat Exchanger Tube Bundles,” Parts I and II, 1984 Symp. on Flow Induced Vibrations, 2, ASME (1984).Google Scholar
5Price, S. J., Paidoussis, M. P. and Giannias, N., “A Generalized Constrained Mode Analysis for Cylinder Arrays in Cross Flows,” 1988 Int. Symp. on Flow Induced Vibrations and Noise, 3, ASME (1988).Google Scholar
6Marn, J. and Catton, I., “Flow Induced Vibrations in Cylindrical Bundles: Two Dimensional Analysis into Normal Modes,” Proc. 1991 National Heat Transfer Conference, HTD–165, Minneapolis, MN, pp. 9–14 (1991).Google Scholar
7Marn, J. and Catton, I., “Analysis of Flow Induced Vibration Using the Vorticity Transport Equation,” Journal of Fluids Engineering, 115, pp. 485–492 (1993).CrossRefGoogle Scholar
8Ichioka, T.Kawata, Y., Nakamura, T., Izumi, H., Kobayashi, T. and Takamatsu, H., “Research on Fluid Elastic Vibration of Cylinder Arrays by Computational Fluid Dynamics (Analysis of Two Cylinders and a Cylinder Row),” JSME International Journal, Series B, 40, pp. 16–24 (1997).CrossRefGoogle Scholar
9Sadaoka, N., Kobashi, K. and Umegaki, K., “Analysis of Flow-Induced Vibrations in Piping Systems and Circular Cylindrical Structures,” JSME International Journal, Series B, 41, pp. 221–226 (1998).CrossRefGoogle Scholar
10Schroder, K. and Gelbe, H., “Two- and Three- Dimensional CFD-Simulation of Flow-Induced Vibration Excitation in Tube Bundles,” Chemical Engineering and Processing, 38, pp. 621–629 (1999).CrossRefGoogle Scholar
11Thompson, J. F., Warsi, Z. U. A. and Mastin, C. W., Numerical Grid Generation, North-Holland, Amsterdam (1985).Google Scholar
12Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B. and Speziale, C. G., “Development of Turbulence Models for Shear Flows by a Double Expansion Technique,” Physics of Fluids A, 4, pp. 1510–1520 (1992).CrossRefGoogle Scholar
13Weaver, D. S. and Grover, L. K., “Cross-Flow Induced Vibrations in a Tube Bank-Turbulent Buffering and Fluid Elastic Instability,” Journal of Sound and Vibration, 59, pp. 277–294 (1978).CrossRefGoogle Scholar
14Cantwell, B. and Coles, D., “An Experimental Study of Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder,” Journal of Fluid Mechanics, 136, pp. 321–374 (1983).CrossRefGoogle Scholar
15Chen, S. S., Zhn, S. and Cai, Y., “Experimental of Chaotic Vibration of Loosely Supported Tube Rows in Cross-Flow,” Journal of Pressure Vessel Technology, Transactions of the ASME, 117, pp. 204–212 (1995).CrossRefGoogle Scholar
16Yeung, H. C. and Weaver, D. S., “The Effects of Approach Flow Direction on the Flow-Induced Vibrations of a Triangular Tube Array,” Journal of Vibration, Acoustics, Stress and Reliability in Design, 105, pp. 76–82 (1983).CrossRefGoogle Scholar
17Kassera, V. and Strohmeier, K., “Experimental Determination of Tube Bundle Vibrations Induced by Cross-Flow,” Proceedings ASME Symposium on Flow-Induced Vibration (ed. Au-Yang, M. K.), PVP–273, pp. 91–97 (1994).Google Scholar