A Comparison Study Between Navier-Stokes Equation and Reynolds Equation in Lubricating Flow Regime

  • Published : 2003.04.01

Abstract

For practical calculations, the Reynolds equation is frequently used to analyze the lubricating flow. The full Navier-Stokes Equations are used to find validity limits of Reynolds equation in a lubricating flow regime by result comparison. As the amplitude of wavy upper wall increased at a given average channel height, the difference between Navier-Stokes and lubrication theory decreased slightly : however, as the minimum distance in channel throat increased, the differences in the maximum pressure between Navier-Stokes and lubrication theory became large.

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References

  1. Carvalho, M. S. and Scriven, L. E., 1997, 'Flows in Forward Deformable Roll Coating Gaps: Comparison between Spring and Plain-Strain Models of Roll Cover,' Journal of Computational Physics, Vol. 138, No. 2, pp. 449-479 https://doi.org/10.1006/jcph.1997.5826
  2. Choi, B. L., Lee, A. S., and Choi, D. H., 2001, 'A Lubrication Performance Analysis of Mechanical Face Seals Using Galerkin Finite Element Method,' KSME J. part A, Vol. 25, pp. 916-922
  3. Dowson, D. and Wang, D., 1994, 'Analysis of the Normal Bouncing of a Solid Elastic Ball on an Oily Plate,' Wear, Vol. 179, pp. 29-37 https://doi.org/10.1016/0043-1648(94)90215-1
  4. Dusey, M., 1993, Numerical Analysis of Lubrication Theory and Peristaltic Transport in The Esophagus, Ph. D. Thesis, Pennsylvania State University, University park, PA.
  5. Fluid Dynamics Analysis Package Ver. 7.0, 1993, Fluid Dynamics International, Inc.
  6. Hsu, C. H. and Lee, R., 1994, 'Advanced Multilevel Solution of Elastohydrodynamic Lubrication Circular Contact Problem,' Wear, Vol. 177, pp. 117-127 https://doi.org/10.1016/0043-1648(94)90237-2
  7. Hua, D. Y. and Kohnsari, M. M., 1995, 'Application of Transient Elastohydrodynamic Lubrication Analysis for Gear Transmissions,' Tribology Trans. Vol. 38, pp. 905-913 https://doi.org/10.1080/10402009508983487
  8. Schmuck, M. R., Chung, J. B., Schultz, W. W. and Kannatey-Asibu, E. Jr., 1991, 'Analysis of Fluid Flow Under a Grinding Wheel,' Trans. ASME, Vol. 113, pp. 190-197 https://doi.org/10.1115/1.2910524