Modified reynolds equation for coupled stress fluids - A porous media model

W. L. Li, H. M. Chu

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


In this paper, the Theological effects of coupled stress fluids on thin film lubrication modeling are developed. Thin porous layers attached to the impermeable substrate are utilized to model the microstructure of bearing surfaces. In the fluid film region, the constitutive equations for coupled stress fluids proposed by Stokes as well as the continuity and momentum equations are applied to model the flow. In the porous region, the Brinkman-extended Darcy equations are applied to model the flow. Under the usual assumption of hydrodynamic lubrication applicable to thin films, the effects of viscous shear and the stress jump boundary condition at the porous media/fluid film interface are included in deriving the modified Reynolds equation. The effects of material properties such as coupled stress parameter (l̄), viscosity ratio (αi2), thickness of porous layer (Δi), permeability (Ki), and stress jump parameter (βi), on the velocity distributions and load capacities of one-dimensional converging wedge problems are discussed.

Original languageEnglish
Pages (from-to)189-202
Number of pages14
JournalActa Mechanica
Issue number3-4
Publication statusPublished - 2004 Sep

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering


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