An Investigation on the Use of Connors’ Equation to Predict Fluidelastic Instability in Cylinder Arrays

The use of Connors' equation, or variations thereof to predict the velocity at which fluidelastic instability occurs in cylinder arrays subject to cross-flow has become ubiquitous. The implicit assumption being that this equation accurately models the physics of fluidelastic instability, and all that is required is to find the correct value of Connors' constant. The evidence for and against this assumption is examined in this paper. Other theoretical models of fluidelastic instability are reviewed and compared with Connors' analysis. In addition, evidence from experimental data is considered. It is concluded that there are many deficiencies associated with Connors' equation, and that if better design guides are to be obtained, more emphasis must be put on examining the physics of fluidelastic instability.

[1]  M. J. Pettigrew,et al.  Fluidelastic Instability of Heat Exchanger Tube Bundles: Review and Design Recommendations , 1991 .

[2]  Yuan-Cheng Fung,et al.  An introduction to the theory of aeroelasticity , 1955 .

[3]  S. Takahara,et al.  Fluid elastic vibration of tube array in cross flow , 1981 .

[4]  David S. Weaver,et al.  The Cross-Flow Response of a Tube Array in Water—A Comparison With the Same Array in Air , 1982 .

[5]  M. P. Païdoussis,et al.  A constrained-mode analysis of the fluidelastic instability of a double row of flexible circular cylinders subject to cross-flow: A theoretical investigation of system parameters , 1986 .

[6]  J. A. Fitzpatrick,et al.  A review of cross-flow induced vibrations in heat exchanger tube arrays , 1988 .

[7]  Michael P. Païdoussis,et al.  An improvement to the quasi-steady model with application to cross-flow-induced vibration of tube arrays , 1996, Journal of Fluid Mechanics.

[8]  M. P. Païdoussis,et al.  Flow-induced vibrations and instabilities in a rotated-square cylinder array in cross-flow , 1989 .

[9]  R. D. Blevins,et al.  Fluid Elastic Whirling of a Tube Row , 1974 .

[10]  S. S. Chen Instability Mechanisms and Stability Criteria of a Group of Circular Cylinders Subjected to Cross-Flow—Part 2: Numerical Results and Discussions , 1981 .

[11]  M. M. Zdravkovich Scruton number; A proposal , 1982 .

[12]  David S. Weaver,et al.  An Unsteady Theory for Fluidelastic Instability in an Array of Flexible Tubes in Cross-Flow. Part II: Results and Comparison With Experiments , 1993 .

[13]  Michael P. Païdoussis,et al.  A Single-Flexible-Cylinder Analysis for the Fluidelastic Instability of an Array of Flexible Cylinders in Cross-Flow , 1986 .

[14]  J. A. Jendrzejczyk,et al.  Flow Velocity Dependence of Damping in Tube Arrays Subjected to Liquid Cross-Flow , 1981 .

[15]  David S. Weaver,et al.  An Unsteady Theory For Fluidelastic Instability in an Array of Flexible Tubes in Cross-Flow. Part I: Theory , 1993 .

[16]  H. Gelbe,et al.  NEW DESIGN RECOMMENDATIONS FOR FLUIDELASTIC INSTABILITY IN HEAT EXCHANGER TUBE BUNDLES , 1999 .

[17]  M. J. Pettigrew,et al.  Two-Phase Flow-Induced Vibration: An Overview (Survey Paper) , 1994 .

[18]  G. S. Whiston,et al.  Whirling instabilities in heat exchanger tube arrays , 1982 .

[19]  K. Popp,et al.  Stability Behaviour of a Single Flexible Cylinder in Rigid Tube Arrays of Different Geometry Subjected to Cross-Flow , 1995 .

[20]  M. P. Païdoussis,et al.  A review of flow-induced vibrations in reactors and reactor components , 1983 .

[21]  M. P. Païdoussis,et al.  An improved mathematical model for the stability of cylinder rows subject to cross-flow , 1984 .

[22]  M. P. Païdoussis,et al.  On the Virtual Nonexistence of Multiple Instability Regions for Some Heat-Exchanger Arrays in Crossflow , 1996 .

[23]  J. H. Lever,et al.  A Theoretical Model for Fluid-Elastic Instability in Heat Exchanger Tube Bundles , 1982 .

[24]  K. Popp,et al.  Stability effects in a normal triangular cylinder array , 1989 .

[25]  S. S. Chen,et al.  Instability Mechanisms and Stability Criteria of a Group of Circular Cylinders Subjected to Cross-Flow. Part I: Theory , 1983 .

[26]  M. P. Païdoussis,et al.  The flow-induced response of a single flexible cylinder in an in-line array of rigid cylinders , 1989 .

[27]  Stuart J. Price A Review of Theoretical Models for Fluidelastic Instability of Cylinder Arrays in Cross-Flow , 1995 .

[28]  K. Strohmeier,et al.  SIMULATION OF TUBE BUNDLE VIBRATIONS INDUCED BY CROSS-FLOW , 1997 .

[29]  Shoei-Sheng Chen,et al.  Guidelines for the instability flow velocity of tube arrays in crossflow , 1984 .

[30]  M. P. Païdoussis,et al.  A generalized constrained-mode analysis for cylinder arrays in cross-flow , 1990 .

[31]  Stuart J. Price,et al.  Fluidelastic stability of a rotatedsquare array with multiple flexible cylinders, subject to cross-flow , 1991 .