A derivation of the basic equations for hydrodynamic lubrication with a fluid having constant properties

Elrod, H. G.

doi:10.1090/qam/109552

Author: H. G. Elrod
Journal: Quart. Appl. Math. 17 (1960), 349-359
MSC: Primary 76.00
DOI: https://doi.org/10.1090/qam/109552
MathSciNet review: 109552
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Abstract: In this paper small parameter techniques are used to derive Reynolds’ lubrication equations, and refinements thereof, from the full Navier-Stokes equation. An effort has been made to retain rigor in the development comparable to that used in present-day boundary-layer developments.

Gregory H. Wannier, A contribution to the hydrodynamics of lubrication, Quart. Appl. Math. 8 (1950), 1–32. MR 37146, DOI https://doi.org/10.1090/S0033-569X-1950-37146-5
Aristotle D. Michal, Matrix and Tensor Calculus with Applications to Mechanics, Elasticity, and Aeronautics, John Wiley and Sons, Inc., New York; Chapman and Hall, Limited, London, 1947. MR 0020334