The Effect of Nonlinear Viscoelasticity of Lubricants on Piston Ring Lubrication

Jun Tomioka, Hirotsugu Hayashi, Sanae Wada

Research output: Contribution to journalArticlepeer-review


In recent years, engine oils have contained various kinds of additives such as high molecular-weight polymers to improve their performance. Such lubricants exhibit viscoelastic behavior, but the lubricants were assumed to be Newtonian fluids in most of the previous investigations on piston ring lubrication. The objective of this paper is to theoretically clarify the effect of nonlinear viscoelasticity of lubricants on piston ring lubrication by introducing a nonlinear four-element viscoelastic model which consists of two nonlinear dashpots and two nonlinear springs. Numerical solutions show that the effect of viscoelasticity reduces the frictional force and the film thickness. In addition, the phase of the variations of the frictional force and the film thickness of viscoelastic fluids is delayed compared with that of Newtonian fluids.

Original languageEnglish
Pages (from-to)2058-2065
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Issue number538
Publication statusPublished - 1991
Externally publishedYes


  • Lubricant
  • Lubrication
  • Nonlinear Four- Element Model
  • Nonlinear Viscoelastic Fluid
  • Piston Ring

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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