Squeeze film couplestress lubrication rendered with a porous layer in a sphere-to-sphere configuration - An analytical study.

  • Divya R.
  • SREEKALA C.K Nitte Meenakshi Institute of Technology, Nitte (Deemed to be University)
  • Hanumagowda B. N.
  • Pramod S.

Abstract

The paper aims to study the role of non- Newtonian couple stresses fluid and porous media on the squeeze film characteristics by considering a sphere-to-sphere geometry. The modified Reynolds equation for the geometry is derived, incorporating the non-Newtonian effects of couple stress fluids and porosity.  Closed-form expressions for essential squeeze film characteristics are obtained, including pressure distribution, load-carrying capacity, and squeeze film time. It is observed that as the couple stress parameter value increases, the pressure, load-carrying capacity, and squeeze time also increase. Furthermore, the squeeze film pressure, load, and squeezing time increase with an increase in the radius ratio. Conversely, the introduction of porosity results in lower pressure, load, and squeezing time. These results provide significant insights into the efficacy of bearing lubrication when it is used in porous environments with couple stress fluids.

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Published
2026-04-18
Section
Special Issue: Recent Advancements in Applied Mathematics and Computing