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Lubrication Theory

In: Slow Viscous Flow

Author

Listed:
  • William E. Langlois

    (San Jose City College, Division of Science and Mathematics)

  • Michel O. Deville

    (Ecole Polytechnique Fédérale de Lausanne STI DO MXD 130)

Abstract

Lubrication theory is the hydrodynamical analog of shell theory, capitalizing on the fact that the physical domain is thin in one direction compared with the others. A stretched coordinate, akin to that used in boundary layer theory, is used to derive the general Reynolds equation. If the lubricant is incompressible, this is a linear equation for the pressure in terms of time and the transverse space variables. In the important case where the lubricant is an isothermal gas, the Reynolds equation is nonlinear. For slider bearings, externally pressurized bearings, and journal bearings, the pressure is determined by the steady-state Reynolds equations, unless transients are of interest. Squeeze bearings are governed by the time-dependent Reynolds equation.

Suggested Citation

  • William E. Langlois & Michel O. Deville, 2014. "Lubrication Theory," Springer Books, in: Slow Viscous Flow, edition 2, chapter 0, pages 229-249, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-03835-3_9
    DOI: 10.1007/978-3-319-03835-3_9
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