Complete Squeeze-Film Damper Analysis Based on the “Bulk Flow” Equations

The article presents the numerical adaptation of the “bulk flow” model for the analysis of squeeze-film dampers of industrial design. These components are characterized by high squeeze Reynolds numbers and by complex feeding and sealing systems. The “bulk flow” system of the equation is an efficient model for dealing with high Reynolds number regimes but its numerical treatment needs to be adapted for taking into account the feeding orifices and the circumferential groove as well as the openings of the piston ring seals. These adaptations are performed in the frame of the SIMPLE numerical algorithm used for dealing with the pressure-velocity coupling. The conservative character of the finite volume discretization is preserved without any penalty for the overall efficiency of the numerical procedure. The results depict how film discontinuities and local sources or sinks are embedded into the pressure field. Finally the complete numerical algorithm is validated against experimental data and its advantages are underlined by comparisons with a Reynolds based approach of squeeze-film dampers.

[1]  J. Tichy.  Effects of Fluid Inertia and Viscoelasticity on Squeeze-Film Bearing Forces , 1982 .

[2]  D. C. Sun,et al.  Two Reference Time Scales for Studying the Dynamic Cavitation of Liquid Films , 1992 .

[3]  John M. Vance,et al.  Effects of Fluid Inertia and Turbulence on the Force Coefficients for Squeeze Film Dampers , 1986 .

[4]  A. K. Singhal,et al.  Mathematical Basis and Validation of the Full Cavitation Model , 2002 .

[5]  J. M. Vance,et al.  Cavitation and Air Entrainment Effects on the Response of Squeeze Film Supported Rotors , 1990 .

[6]  Henning Hartmann,et al.  Inertia Effects in Squeeze-Film Damper Bearings Generated by Circumferential Oil Supply Groove , 2003 .

[7]  G. Adiletta,et al.  The squeeze Film Damper over four decades of investigations. Part I: Characteristics and operating features , 2002 .

[8]  J. F. Walton,et al.  Experimental Observation of Cavitating Squeeze-Film Dampers , 1987 .

[9]  Luca d'Agostino,et al.  Linearized dynamics of two-dimensional bubbly and cavitating flows over slender surfaces , 1988, Journal of Fluid Mechanics.

[10]  Luis San Andrés,et al.  Effect of Fluid Inertia on Squeeze-Film Damper Forces for Small-Amplitude Circular-Centered Motions , 1987 .

[11]  John M. Vance,et al.  Measurements of Pressure Distributions and Force Coefficients in a Squeeze Film Damper. Part 2: Partially Sealed Configuration , 1991 .

[12]  Andrea Prosperetti,et al.  A generalization of the Rayleigh–Plesset equation of bubble dynamics , 1982 .

[13]  Mihai Arghir,et al.  Experimental Study of the Radial and Tangential Forces in a Whirling Squeeze Film Damper , 2006 .

[14]  G. Adiletta,et al.  The Squeeze Film Damper over four decades of investigations. Part II: Rotordynamic analyses with rigid and flexible rotors , 2002 .

[15]  C. Rhie,et al.  A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation , 1982 .

[16]  S. Majumdar.  Role of underrelaxation in momentum interpolation for calculation of flow with nonstaggered grids , 1988 .

[17]  John M. Vance,et al.  Cavitation Leading to a Two Phase Fluid in a Squeeze Film Damper , 1989 .

[18]  Luis San Andrés,et al.  Experimental Study on the Effect of a Circumferential Feeding Groove on the Dynamic Force Response of a Sealed Squeeze Film Damper , 1996 .

[19]  Tsuneo Someya,et al.  On the Development of Negative Pressure in Oil Film and the Characteristics of Journal Bearing , 2003 .

[20]  Mihai Arghir,et al.  Evaluation of Rayleigh–Plesset Equation Based Cavitation Models for Squeeze Film Dampers , 2009 .

[21]  Jean Frene,et al.  A Bulk-Flow Analysis of Static and Dynamic Characteristics of Eccentric Circumferentially-Grooved Liquid Annular Seals , 2004 .

[22]  John M. Vance,et al.  Effects of Fluid Inertia on Finite-Length Squeeze-Film Dampers , 1987 .

[23]  John M. Vance,et al.  Experimental Measurement of the Dynamic Pressure Distribution in a Squeeze-Film Bearing Damper Executing Circular-Centered Orbit , 1987 .

[24]  Lelio Della Pietra.  Analytical and Experimental Investigation of Squeeze-Film Dampers Executing Circular Orbits , 2000 .

[25]  D. Briceno,et al.  The effect of air entrapment on the performance of squeeze film dampers: Experiments and analysis , 1999 .

[26]  E. Hahn,et al.  Side Clearance Effects on Squeeze Film Damper Performance , 2000 .

[27]  G. Adiletta,et al.  Experimental study of a squeeze film damper with eccentric circular orbits , 2006 .

[28]  Cyril Defaye.  Intégration numérique et expérimentale d’eléments amortisseurs de type Squeeze Film Damper dans les moteurs d'avion , 2006 .

[29]  Louis Jezequel,et al.  Interaction of Squeeze Film Dampers and Hole Feed Systems and Its Influence on the Dynamics of a Jeffcott Rotor , 2004 .

[30]  Dara W. Childs,et al.  Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis , 1993 .

[31]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[32]  Luis San Andrés.  Effect of Fluid Inertia on Force Coefficients for the Long Squeeze Film Damper , 1988 .

[33]  H. Heshmat.  The Mechanism of Cavitation in Hydrodynamic Lubrication , 1991 .

[34]  Seok-Ki Choi,et al.  Note on the use of momentum interpolation method for unsteady flows , 1999 .

[35]  John M. Vance,et al.  Cavitation Regimes in Squeeze Film Dampers and Their Effect on the Pressure Distribution , 1990 .

[36]  V. Constantinescu.  Laminar viscous flow , 1995 .