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IBM Journal of Research and Development  
Volume 29, Number 1, Page 2 (1985)
Nontopical Issue
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The dynamical equations governing a lubricating film consisting of a gas film overlying a liquid film

by W. E. Langlois
The dynamical equations governing a two-phase lubricating configuration are derived. It is assumed that a gas film overlies a liquid film, both thin enough that the lubrication approximation may be used. The analysis leads to coupled Reynolds equations governing the pressure and the relative thickness of the two films. The coupling, which is determined by continuity of tangential stress across the gas-liquid interface, is considerably simplified if the shear viscosity of the liquid greatly exceeds that of the gas.
Related Subjects: Lubrication; Models and modeling