Browse > Article
http://dx.doi.org/10.3795/KSME-B.2015.39.1.097

Approximate Model of Viscous and Squeeze-film Damping Ratios of Heat Exchanger Tubes Subjected to Two-Phase Cross-Flow  

Sim, Woo Gun (Dept. of Mechanical Engineering, Hannam Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.39, no.1, 2015 , pp. 97-107 More about this Journal
Abstract
An analytical model was developed to estimate the viscous and squeeze-film damping ratios of heat exchanger tubes subjected to a two-phase cross-flow. Damping information is required to analyze the flow-induced vibration problem for heat exchange tubes. In heat exchange tubes, the most important energy dissipation mechanisms are related to the dynamic interaction between structures such as the tube and support and the liquid. The present model was formulated considering the added mass coefficient, based on an approximate model by Sim (1997). An approximate analytical method was developed to estimate the hydrodynamic forces acting on an oscillating inner cylinder with a concentric annulus. The forces, including the damping force, were calculated using two models developed for relatively high and low oscillatory Reynolds numbers, respectively. The equivalent diameters for the tube bundles and tube support, and the penetration depth, are important parameters to calculate the viscous damping force acting on tube bundles and the squeeze-film damping forces on the tube support, respectively. To calculate the void fraction of a two-phase flow, a homogeneous model was used. To verify the present model, the analytical results were compared to the results given by existing theories. It was found that the present model was applicable to estimate the viscous damping ratio and squeeze-film damping ratio.
Keywords
Added Mass Coefficient; Two-phase Cross Flow; Oscillating Reynolds Number; Penetration Depth; Squeeze-film Damping Ratio; Viscous Damping Ratio;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Connors, H. I., 1970, "Fluidelastic Vibration of Tube Arrays Excited by Cross Flow," Flow-Induced Vibration in Heat Exchangers, ASME-WAM, New York, pp. 42-56.
2 Roberts, B. W., 1966, "Low Frequency, Aeroelastic Vibrations in a Cascade of Circular Cylinders," Mechanical Engineering Science, Monograph No. 4, Sept., pp. 1-29.
3 Blevins, R. D., 1974, "Fluidelastic Whirling of a Tube Row," ASME Journal of Pressure Vessel Technology, Vol. 96, pp. 263-267.   DOI
4 Rogers, R.J. and Ahn, K.J., 1986, "Fluid Damping and Hydrodynamic Mass in Finite Length Cylindrical Squeeze Films with Rectilinear Motion," In Flow-Induced Vibration-1986(eds S.S. Chen, J.C. Simonis and Y.S. Shin) New York: ASME Publication PVP-Vol. Vol. 104, pp. 99-105.
5 Mulcahy, T.J., 1980, "Fluid Forces on Rods Vibrating in Finite Length Annular Regions." Journal of Applied Mechanics, Vol. 47, pp. 234-240.   DOI
6 Chen, S.S., Wambsgannss, M.W. and Jendrzejczyk, J.A., 1976, "Added Mass and Damping of a Vibrating Rod in Confined Viscous Fluid," Journal of Applied Mechanics, Vol. 43, pp. 325-329.   DOI
7 Mateescu,D., Paidoussis, M.P. and Sim, W.-G., 1994," Spectral Solutions for Unsteady Annular Flows Between Eccentric Cylinders Induced by Transverse Oscillations," Journal of Sound and Vibration, Vol.177 No. 5, pp. 635-649.   DOI   ScienceOn
8 Jendrzejczyk, J. A., 1986,"Dynamic Characteristics of Heat Exchanger Tubes Vibrating in a Tube-support Plate in Active Mode," ASME Journal of Pressure Vessel Technology, 108, pp. 478-487.
9 Chen, S.S., Jendrzejczyk, J.A. and Wambsgannss, M.W. and, 1985, "Dynamics of Tubes in Fluid with Tube-baffle Interaction," ASME Journal of Pressure Vessel Technology, 107, pp. 7-17.   DOI
10 Yang, C.I. and Moran T.J., 1978,"Finite-element Solution of Added Mass and Damping of Oscillating Rods in Viscous Fluid," Argonne National Laboratory Technical Memorandum ANL-CT-78-22.
11 Sim, W.-G., 1994, "Damping Forces of Vibrating Cylinder in Confined Viscous Fluid by a Simplified Analytical Method," KSME Journal, Vol. 8 No. 1, pp. 44-51.
12 Sim, W.G., 1997, "An Approximate Method for Hydrodynamic Forces on Oscillating Inner Cylinder in Concentric Annulus," Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 7, No. 5, pp.861-869.   과학기술학회마을
13 Pettigrew, M.J., Taylor C.E. and Kim, B.S. 1989, "Vibration of Tube Bundles in Two Phase Cross Flow; Part 1-Hydrodynamic Mass and Damping," ASME Journal of Pressure Vessel Technology, Vol. 111, pp. 466-477.   DOI
14 Pettigrew, M.J., Tromp, J.H., Taylor, C.E. and Kim, B. S., 1989, "Vibration of Tube Bundles in Two Phase Cross Flow; Part 2-Fluid-Elastic Instability," ASME Journal of Pressure Vessel Technology, Vol. 111, pp. 478-487.   DOI
15 McAdams, W.H., Woods, W.K. and Herman, L.C., 1942 "Vaporization inside Horizontal Tubes-IIBenzene-oil Mixtures, " Transactions of ASME, Vol. 64, pp. 193-200.
16 Feenstra, P.A., Judd, R.L. and Weaver, D.S., 1995, "Fluidelatic Instability in a Tube Array Subjected to Two-phase R-11 Cross Flow," Journal of Fluids and Structure, Vol. 9, pp. 747-771.   DOI   ScienceOn
17 Pettigrew, M.J. and Taylor, C.E., 2003, "Vibration Analysis of Shell-and-tube Heat Exchangers; An Overview-Part 2: Vibration Response, Fretting-wear, Guidelines," Journal of Fluids and Structure, Vol. 18, pp. 485-500.   DOI   ScienceOn
18 Rogers, R.J., Taylor, C.E. and Pettigrew, M.J., 1984, "Fluid Effects on Multi-span Heat Exchanger Tube Vibration," Proceeding of ASME Pressure Vessels and Piping Conference, San Antonio, USA, ASME Publication, Topics in Fluid Structure Interaction, Hoo316, pp. 17-26.
19 Kim, B.S., Pettigrew, M. J. and Tromp, J. H., 1988, "Vibration Damping of Heat Exchanger Tubes in Liquids: Effects of Support Parameters," Journal of Fluid and Structures, Vol. 2, pp. 593-614.   DOI   ScienceOn
20 Feenstra, P.A., Weaver, D.S. and Judd, R.L., 2000, "An Improved Void Fraction Model for Two-Phase Cross-Flow in Horizontal Tube Bundles," International Journal of Multiphase Flow, Vol. 26, pp. 1851-1873.   DOI   ScienceOn
21 Pettigrew, C.E., Taylor, C.E,.Janzen, V.P., and Whan, T., 2002, "Vibration Behavior of Rotated Triangular Tube Bundles in Two-phase Cross Flow," ASME Journal of Pressure Vessel Technology, Vol. 124, pp. 144-153.   DOI   ScienceOn
22 Pettigrew, M.J., Taylor, C.E. and Kim, B. S., 2001, "The Effects of Bundle Geometry on Heat Exchanger Tube Vibration in Two Phase Cross Flow," ASME Journal of Pressure Vessel Technology, Vol. 123, pp. 414-420.   DOI   ScienceOn
23 Pettigrew, C.E. and Taylor, C.E, 2004, "Damping of Heat Exchanger Tubes in Two-phase Flow: Review and Design Guidelines," ASME Journal of Pressure Vessel Technology, Vol. 126, pp. 523-532.   DOI   ScienceOn
24 Pettigrew, M.J., Taylor, C.E., Jong, J.H. and Currie, I.G., 1995, "Vibration of Tube Bundle in Two Phase Freon Cross Flow," ASME Journal of Pressure Vessel Technology, Vol. 117, pp. 321-329.   DOI