A Bubble Dynamics Based Approach to the Simulation of Cavitation in Lubricated Contacts

The negative squeeze lubrication problem is investigated by means of numerical simulations that account for the dynamics of vaporization. The model is based on bubble dynamics, governed by the Rayleigh-Plesset equation, and the Reynolds equation for compressible fluids. Unlike most existing simulation models our model can predict tensile stresses in the fluid film prior to its rupture, which is in accordance with experimental evidence.

[1]  A. Prosperetti,et al.  Bubble Dynamics and Cavitation , 1977 .

[2]  Jürgen Sauer,et al.  Development of a New Cavitation Model based on Bubble Dynamics , 2001 .

[3]  Jürgen Sauer,et al.  Instationär kavitierende Strömungen - Ein neues Modell, basierend auf Front Capturing (VoF) und Blasendynamik [online] , 2000 .

[4]  Andreas Almqvist,et al.  A cavitation algorithm for arbitrary lubricant compressibility , 2007 .

[5]  Valentin L. Popov,et al.  Reduction of three-dimensional contact problems to one-dimensional ones , 2007 .

[6]  Guy Bayada,et al.  Micro-Roughness Effects in (Elasto)Hydrodynamic Lubrication Including a Mass-Flow Preserving Cavitation Model , 2006 .

[7]  M. Hajjam,et al.  A transient finite element cavitation algorithm with application to radial lip seals , 2007 .

[8]  J. Streator.  An Approximate Analytical Model for the Separation of a Sphere From a Flat in the Presence of a Liquid , 2006 .

[9]  D. W. Parkins,et al.  Cavitation in an Oscillatory Oil Squeeze Film , 1984 .

[10]  Dominique Bonneau,et al.  Finite Element Mass-Conserving Cavitation Algorithm in Pure Squeeze Motion. Validation/Application to a Connecting- Rod Small End Bearing , 2000 .

[11]  M. Plesset.  The Dynamics of Cavitation Bubbles , 1949 .

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

[13]  Reduced description of mixed lubrication , 2008 .

[14]  J. F. Booker,et al.  A Finite Element Cavitation Algorithm , 1991 .

[15]  L. Rayleigh.  VIII. On the pressure developed in a liquid during the collapse of a spherical cavity , 1917 .

[16]  Stephen Boedo,et al.  Cavitation in Normal Separation of Square and Circular Plates , 1995 .

[17]  Lawrence F. Shampine,et al.  Solving Index-1 DAEs in MATLAB and Simulink , 1999, SIAM Rev..

[18]  Theo G. Keith,et al.  An Efficient, Robust, and Time Accurate Numerical Scheme Applied to a Cavitation Algorithm , 1990 .

[19]  Wen Wang,et al.  Investigation of Cavitation Phenomenon in an Oscillatory Oil Squeeze Film , 2005 .

[20]  and D Dowson,et al.  Cavitation in Bearings , 1979 .

[21]  V. Popov,et al.  Cavitation within the framework of reduced description of mixed lubrication , 2009 .

[22]  Wen Wang,et al.  A Theory of Cavitation in an Oscillatory Oil Squeeze Film , 2005 .

[23]  Thomas Geike,et al.  Mapping of three-dimensional contact problems into one dimension. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.