Equivalent Clearance Model for Solving Thermohydrodynamic Lubrication of Slider Bearings With Steps

Hideki Ogata, Joichi Sugimura

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This study focuses on the thermohydrodynamic lubrication (THD) analysis of fluid film bearings with steps on the bearing surface, such as Rayleigh step. In general, the Reynolds equation does not satisfy the continuity of fluid velocity components at steps. This discontinuity results in the difficulty to solve the energy equation for the lubricants by finite differential method (FDM), because the energy equation needs the velocity components explicitly. The authors have solved this issue by introducing the equivalent clearance height and the equivalent gradient of the clearance height at steps. These parameters remove the discontinuity of velocity components, and the Reynolds equations can be solved for any bearing surfaces with step regions by FDM. Moreover, this method results in pseudocontinuous velocity components, which enables the energy equation to be solved as well. This paper describes this method with one-dimensional and equal grids model. The numerical results of pressure and temperature distributions by the proposed method for an infinite width Rayleigh step bearing agree well with the results obtained by solving full Navier-Stokes equations with semi-implicit method for pressure-linked equations revised (SIMPLER) method.

Original languageEnglish
Article number034503
JournalJournal of Tribology
Volume139
Issue number3
DOIs
Publication statusPublished - Jan 1 2017

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Bearings (structural)
clearances
lubrication
chutes
Lubrication
Reynolds equation
Fluids
discontinuity
Pressure distribution
Navier Stokes equations
Lubricants
fluid films
Temperature distribution
lubricants
pressure distribution
continuity
Navier-Stokes equation
energy
temperature distribution
grids

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films

Cite this

Equivalent Clearance Model for Solving Thermohydrodynamic Lubrication of Slider Bearings With Steps. / Ogata, Hideki; Sugimura, Joichi.

In: Journal of Tribology, Vol. 139, No. 3, 034503, 01.01.2017.

Research output: Contribution to journalArticle

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