On the granular lubrication theory

The governing equations for the flow of a granular material within the context of the lubrication theory are derived. The resulting analysis gives a generalized Reynolds equation that predicts the pressure generation capacity in a bearing with consideration of side flow. A series of simulations are presented that characterize the three-dimensional flow behaviour of powder in a slider bearing.

[1]  Michael M. Khonsari,et al.  On the Generalization of Thermohydrodynamic Analyses for Journal Bearings , 1996 .

[2]  Michael M. Khonsari,et al.  Generalized Boundary Interactions for Powder Lubricated Couette Flows , 1996 .

[3]  D. Gidaspow Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions , 1994 .

[4]  C. Campbell Boundary interactions for two-dimensional granular flows. Part 1. Flat boundaries, asymmetric stresses and couple stresses , 1993, Journal of Fluid Mechanics.

[5]  Charles S. Campbell,et al.  Boundary interactions for two-dimensional granular flows. Part 2. Roughened boundaries , 1993, Journal of Fluid Mechanics.

[6]  J. Jenkins Boundary Conditions for Rapid Granular Flow: Flat, Frictional Walls , 1992 .

[7]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[8]  J. Jenkins,et al.  Boundary conditions for plane flows of smooth, nearly elastic, circular disks , 1986, Journal of Fluid Mechanics.

[9]  J. E. Ungar,et al.  Boundary conditions for high-shear grain flows , 1984, Journal of Fluid Mechanics.

[10]  D. Jeffrey,et al.  Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield , 1984, Journal of Fluid Mechanics.

[11]  P. Haff Grain flow as a fluid-mechanical phenomenon , 1983, Journal of Fluid Mechanics.

[12]  J. Jenkins,et al.  A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles , 1983, Journal of Fluid Mechanics.

[13]  David J. Jeffrey,et al.  The stress tensor in a granular flow at high shear rates , 1981, Journal of Fluid Mechanics.

[14]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

[15]  Beauchamp Tower,et al.  First Report on Friction Experiments , 1883 .

[16]  M. Khonsari,et al.  Flow Characteristics of a Powder Lubricant Sheared Between Parallel Plates , 2000 .

[17]  J. Barbera,et al.  Contact mechanics , 1999 .

[18]  M. Khonsari,et al.  An Analysis of Powder Lubricated Slider Bearings , 1996 .

[19]  H. Heshmat,et al.  The quasi-hydrodynamic mechanism of powder lubrication. I: Lubricant flow visualization , 1992 .

[20]  H. Heshmat,et al.  The quasi-hydrodynamic mechanism of powder lubrication. Part II: Lubricant film pressure profile , 1992 .

[21]  O. Reynolds I. On the theory of lubrication and its application to Mr. Beauchamp tower’s experiments, including an experimental determination of the viscosity of olive oil , 1886, Proceedings of the Royal Society of London.