Viscoelastic lubrication with Phan-Thein-Tanner fluid (PTT)

Akyildiz F., Bellout H.

JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, vol.126, no.2, pp.288-291, 2004 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 126 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1115/1.1651536
  • Journal Name: JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.288-291
  • Keywords: lubrication flow, Phan-Thein-Tanner model(PTT), thin film, finite difference, NON-NEWTONIAN LUBRICATION, NUMERICAL-SIMULATION, PLANAR CONTRACTION, 2ND-ORDER FLUID, MODEL, FLOWS
  • Ondokuz Mayıs University Affiliated: No

Abstract

We analyze the lubrication flow of a viscoelastic fluid to account for the time dependent nature of the lubricant. The material obeys the constitutive equation for Phan-Thein-Tanner fluid (PTT). An explicit expression of the velocity field is obtained. This expression shows the effect of the Deborah number (De =lambda U/L, lambda is the relaxation time). Using this velocity field, we derive the generalized Reynolds equation for PTT fluids. This equation reduces to the Newtonian case as De --> 0. Finally, the effect of the Deborah number on the pressure field is explored numerically in detail and the results are documented graphically.