Research Papers: Hydrodynamic Lubrication

On Olsson's Interphase Condition in Cavitation Analysis

[+] Author and Article Information
Coda H. T. Pan

Global Technology,
Millbury, MA 01527
e-mail: panwrites1@aol.com

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 4, 2015; final manuscript received September 18, 2015; published online July 26, 2016. Assoc. Editor: Mircea Teodorescu.

J. Tribol 138(4), 041704 (Jul 26, 2016) (10 pages) Paper No: TRIB-15-1241; doi: 10.1115/1.4032912 History: Received July 04, 2015; Revised September 18, 2015

Olsson's interphase condition (OIC) is carefully examined and scrutinized with respect to both physical and mathematical implications. It is a genuine initial value problem statement so that its full compliance is mandatory for analyzing time-dependent cavitation problems in the journal bearing. Implementation of OIC must include: (1) an unambiguous description of the initial state of the entire fluid film of the bearing, (2) a realistic description of fluid supply configuration, (3) accurate determination of the locations of the void boundaries together with the corresponding pressure gradients, and (4) a suitable morphology model for the cavitated fluid. A new computation algorithm is proposed for cavitation studies that are governed by cross-boundary interface continuity (CBIC), which is a modified statement of OIC.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.


Reynolds, O. , 1886, “ On the Theory of Lubrication and Its Application to Mr. Beauchamp Tower's Experiments, Including an Experimental Determination of the Viscosity of Olive Oil,” Philos. Trans. R. Soc., 177(0), pp. 157–234. [CrossRef]
Sommerfeld, A. , 1904, “ Zur hydrodynamischen Theorie der Schmiermittehreibung,” Z. Math. Phys., 50, pp. 97–155.
Gümbel, L. , 1921, “ Verleich der Ergebnisse der rechnerischen Behandlung des Lagerschmierungsproblem mit neueren Versuchsergebnissen,” Mbl. Berl. Bez. (VDI), pp. 125–128.
Swift, H. W. , 1932, “ The Stability of Lubricating Films in Journal Bearings,” Proc. Inst. Civil Eng., 233, pp. 267–288.
Stieber, W. , 1933, Das Schwimmlager, Verein Deutscher Ingenieure, Berlin.
Floberg, L. , 1957, The Infinite Journal Bearing, Considering Vaporization, Vol. 189, Transactions of Chalmers University, Göteborg, Sweden.
Jakobsson, B. , and Floberg, L. , 1957, The Finite Journal Bearing, Considering Vaporization, Vol. 190, Transactions of Chalmers University, Göteborg, Sweden.
Christopherson, D. G. , 1941, “ A New Mathematical Method for the Solution of Film Lubrication Problems,” Proc. Inst. Mech. Eng., London, 146(1941), p. 126. [CrossRef]
Olsson, K. O. , 1965, Cavitation in Dynamically Loaded Bearings, Vol. 308, Transactions of Chalmers University, Göteborg, Sweden.
Elrod, H. G. , and Adams, M. L. , 1974, “ A Computer Program for Cavitation and Starvation Problems,” 1st Leeds-Lyon Symposium on Tribology, Leeds, UK, Mechanical Engineering Publications, London, pp. 37–41.
Kumar, A. , and Booker, J. F. , 1991, “ Mass-Conservative Cavitation Analysis for Engine Bearings,” 17th Leeds-Lyon Symposium on Tribology: Vehicle Tribology, Elsevier, Amsterdam, The Netherlands, pp. 27–32.
Ausas, R. F. , Jai, M. , and Buscaglia, G. C. , 2009, “ A Mass-Conserving Algorithm for Dynamical Lubrication Problems With Cavitation,” ASME J. Tribol., 131(3), p. 031702. [CrossRef]
Braun, M. J. , and Hannon, W. M. , 2010, “ Cavitation Formation and Modelling for Fluid Film Bearings: A Review,” Proc. Inst. Mech. Eng., Part J, 224(9), pp. 839–862. [CrossRef]
Bayada, G. , and Chambat, M. , 1984, “ Existence and Uniqueness for a Lubrication Problem With Non Regular Conditions on the Free Boundary,” Boll. U.M.I., 6(3b), pp. 543–557.
Bayada, G. , and Chambat, M. , 1986, “ Sur quelque Modelisation de la zone de cavitation en Lubrification Hydrodynamique,” J. Méc. Théor. Appl., 5, pp. 703–729.
Davies, R. , 1962, “ Cavitation in Real Liquids,” Symposium at General Motors Research Laboratories, Warren, MI: Elsevier, Amsterdam, 1964; pp. 189.
Dowson, D. , Godet, M. , and Taylor, C. M. , 1975, “ Cavitation and Related Phenomena in Lubrication,” Proceedings of the 1st Leeds-Lyon Symposium on Tribology, Leeds, UK, Sept., Mechanical Engineering Publications, London.
Brewe, D. E. , Ball, J. H. , and Khonsari, M. M. , 1990, “ Current Research in Cavitating Fluid Films—Part I: Fundamental and Experimental Observation,” STLE Special Publication on Cavitation, Paper No. SP-28.
Pan, C. H. T. , Kim, T. H. , and Rencis, J. J. , 2008, “ Rolling Stream Trails: An Alternative Cavitation Analysis,” ASME J. Tribol., 130(2), p. 021703. [CrossRef]
Dowson, D. , and Taylor, C. M. , 1975, “ Fundamental Aspects of Cavitation in Bearings,” 1st Leeds-Lyon Symposium on Tribology, Leeds, UK, pp. 15–28.
Floberg, L. , 1974, “ Cavitation Boundary Conditions With Regard to the Number of Streamers and Tensile Strength of the Liquid,” 1st Leeds-Lyon Symposium on Tribology, Leeds, UK, Mechanical Engineering Publications, London, pp. 31–35.
Optasanu, V. , and Bonneau, D. , 2000, “ Finite Element Mass-Conserving Algorithm in Pure Squeeze Motion. Validation/Application to a Connecting Rod Small End Bearing,” ASME J. Tribol., 122(1), pp. 162–169. [CrossRef]
Savage, M. D. , 1977, “ Cavitation in Lubrication—Part 1: On Boundary Conditions and Cavity-Fluid Interfaces,” J. Fluid Mech., 80(4), pp. 743–755. [CrossRef]
Kachhia, B. , Pan, C. H. T. , and Nélias, D. , 2013, “ On Incipience of Cavitation and Its Inherent Time Dependence,” 12th EDF/Pprime Workshop, Poitiers-FUTUROSCOPE.
Press, W. H. , Flannery, B. P. , Teukolsky, S. A. , and Vetterling, W. T. , 1986, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, UK.
Michell, A. G. M. , 1929, “ Progress in Fluid-Film Lubrication,” Trans. ASME, 51(2), pp. 153–163.


Grahic Jump Location
Fig. 1

Alternative interpretations of striated void patterns. (a) Narrow oil strips model of Jakobsson and Floberg [7] as sketched in Braun and Hannon [13]. (b) Photographs after Dowson and Taylor [20] depicted as the model of two-component rupture front.

Grahic Jump Location
Fig. 2

Five-point centered divergence emulation schemes: (a) centered five-point emulation and (b) Christopherson algorithm

Grahic Jump Location
Fig. 3

Half-cell divergence emulation for end-leakage calculation

Grahic Jump Location
Fig. 4

Comparison of π-film calculated by five- and nine-point emulation with (M=72,N=12)

Grahic Jump Location
Fig. 5

Void boundaries and peripheral flows, π-film and Pfeed=10−6

Grahic Jump Location
Fig. 6

Characteristics of an end-fed bearing with moderate pressurization

Grahic Jump Location
Fig. 7

Void-feeding flux profiles in 10× scale with Pfeed = 10−3

Grahic Jump Location
Fig. 8

Cavitated fluid at incipience

Grahic Jump Location
Fig. 9

Profiles of Olsson parameters of π-film at incipience



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In