The present paper applies a recent continuum theory due to Aranson and Tsimring (2002, “Continuum Theory of Partially Fluidized Granular Flows,” Phys. Rev. E, 65, p. 061303) for the dense granular flow of particles in sustained contact to lubrication flows. Such third body granular flow may apply to some solid lubrication mechanisms. The continuum theory is unique in that it addresses solidlike behavior and the transition to fully fluidized behavior. The continuum studies are complemented by a discrete particle dynamics model of Iordanoff et al. (2005, “Numerical Study of a Thin Layer of Cohesive Particles Under Plane Shearing,” Powder Technol., 159, pp. 46–54). Three problems are treated: (1) flow due to the gravity of a layer of granular material down an inclined plane, (2) simple shear flow of a layer confined between sliding parallel surfaces, and (3) lubrication flow of a layer confined between a curved surface and a sliding plane. The perspective of this paper is that a continuum model will be more useful than a discrete model in engineering design of solid lubrication systems for the foreseeable future. In the inclined plane problem, the discrete simulations are used to provide material property parameters to the continuum model. In the simple shear problem, for validation, predictions of the continuum model are compared to those of the discrete element computer simulations. Finally, the continuum theory is applied to a more complex lubrication flow.
Skip Nav Destination
e-mail: tichyj@rpi.edu
Article navigation
July 2008
Research Papers
A Continuum Description of Dense Granular Lubrication Flow
John Tichy,
John Tichy
Department of Mechanical, Aerospace, and Nuclear Engineering,
e-mail: tichyj@rpi.edu
Rensselaer Polytechnic Institute
, Troy, NY 12180-3590
Search for other works by this author on:
Yves Berthier,
Yves Berthier
Laboratoire de Mécanique des Contacts et des Solides,
Institut National des Sciences Appliquées de Lyon
, Villeurbanne 69621, France
Search for other works by this author on:
Ivan Iordanoff
Ivan Iordanoff
Laboratoire Matériaux Endommagement Fiabilité et Ingénierie des Procédés
, École Nationale Supérieure d’Arts et Métiers, Bordeaux/Talence 33405, France
Search for other works by this author on:
John Tichy
Department of Mechanical, Aerospace, and Nuclear Engineering,
Rensselaer Polytechnic Institute
, Troy, NY 12180-3590e-mail: tichyj@rpi.edu
Yves Berthier
Laboratoire de Mécanique des Contacts et des Solides,
Institut National des Sciences Appliquées de Lyon
, Villeurbanne 69621, France
Ivan Iordanoff
Laboratoire Matériaux Endommagement Fiabilité et Ingénierie des Procédés
, École Nationale Supérieure d’Arts et Métiers, Bordeaux/Talence 33405, FranceJ. Tribol. Jul 2008, 130(3): 031301 (8 pages)
Published Online: July 1, 2008
Article history
Received:
June 21, 2007
Revised:
March 21, 2008
Published:
July 1, 2008
Citation
Tichy, J., Berthier, Y., and Iordanoff, I. (July 1, 2008). "A Continuum Description of Dense Granular Lubrication Flow." ASME. J. Tribol. July 2008; 130(3): 031301. https://doi.org/10.1115/1.2913550
Download citation file:
Get Email Alerts
Related Articles
Numerical Simulation of Surface Roughness Effects in Laminar Lubrication Using the Lattice-Boltzmann Method
J. Tribol (July,2007)
Granular Flow Lubrication: Continuum Modeling of Shear Behavior
J. Tribol (July,2004)
An Analysis of Mixed Lubrication in Chemical Mechanical Polishing
J. Tribol (April,2005)
Related Proceedings Papers
Related Chapters
Hydrodynamic Lubrication
Design of Mechanical Bearings in Cardiac Assist Devices
Understanding the Problem
Design and Application of the Worm Gear
Contact Laws
Contact in Structural Mechanics: A Weighted Residual Approach