The problem of sliding surface tractions on a porous biphasic layer with viscous interstitial fluid is solved, which can serve as the basis for solving problems of elastohydrodynamic lubrication of deformable porous layers bonded to a rigid substrate. A general small strain solution is derived for a layer of arbitrary thickness, using Fourier transform methods. The applied tractions, consisting of two normal components and two shear components, have arbitrary distributions and are assumed to slide at a constant speed along the layer surface. It is found that the solution to this problem is dependent on five nondimensional parameters; one of these, Rh, is the ratio of the sliding speed to the characteristic speed of fluid flow within the porous layer; another, τf, controls the transition between Darcy-like and Navier-Stokes flow. Results are presented for various values of these parameters, particularly in relation to the flux of fluid relative to the solid phase along the tangential and normal directions to the layer surface. Discussion of these results and their potential effect on the analysis of elastohydrodynamic lubrication of deformable porous bearings is provided.
Skip Nav Destination
Article navigation
January 1998
Research Papers
Sliding Tractions on a Deformable Porous Layer
Gerard A. Ateshian,
Gerard A. Ateshian
Department of Mechanical Engineering, Columbia University, New York, NY 10027-6699
Search for other works by this author on:
Xiaodong Wang
Xiaodong Wang
Department of Mechanical Engineering, Columbia University, New York, NY 10027-6699
Search for other works by this author on:
Gerard A. Ateshian
Department of Mechanical Engineering, Columbia University, New York, NY 10027-6699
Xiaodong Wang
Department of Mechanical Engineering, Columbia University, New York, NY 10027-6699
J. Tribol. Jan 1998, 120(1): 89-96 (8 pages)
Published Online: January 1, 1998
Article history
Received:
September 3, 1996
Revised:
February 24, 1997
Online:
January 24, 2008
Citation
Ateshian, G. A., and Wang, X. (January 1, 1998). "Sliding Tractions on a Deformable Porous Layer." ASME. J. Tribol. January 1998; 120(1): 89–96. https://doi.org/10.1115/1.2834195
Download citation file:
Get Email Alerts
Cited By
Related Articles
Related Proceedings Papers
Related Chapters
Hydrodynamic Lubrication
Design of Mechanical Bearings in Cardiac Assist Devices
List of Commercial Codes
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Hydrodynamic Mass, Natural Frequencies and Mode Shapes
Flow-Induced Vibration Handbook for Nuclear and Process Equipment