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Analytical solution of Reynolds equation under dynamic conditions

  • Ru Zhi Gong
  • , De You Li
  • , Hong Jie Wang*
  • , Lei Han
  • , Da Qing Qin
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The flow in the clearance heavily influences the lubrication performance of journal bearing. Therefore, it is important to study the flow mechanism in journal bearing. As known, the pressure distribution in bearing clearance can be described with Reynolds equation. In this paper, unsteady form of Reynolds equation was simplified and nondimensionalized at first, based on certain assumptions. Then, the equation was solved with regular perturbation method, obtaining the analytical solution. At the end, the results of our work were compared with the results of €infinitely short journal bearing€ model, Vignolo et al. (Approximate analytical solution to Reynolds equation for finite length journal bearings. Tribol Int 2011; 44: 1089-1099), and numerical simulations. The comparison implies that our results show more coincidence with the numerical results in a wider range.

Original languageEnglish
Pages (from-to)416-427
Number of pages12
JournalProceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
Volume230
Issue number4
DOIs
StatePublished - 1 Apr 2016
Externally publishedYes

Keywords

  • Reynolds equation
  • analytical
  • hydrodynamic
  • journal bearings
  • perturbation

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