Here you can find a Mathematica notebook presenting an analytical solution of the Reynolds equation with a mass-conserving cavitation model (JFO) for a sinusoidal bearing:
This is a supplementary material to the paper:
J. Lengiewicz, M. Wichrowski and S. Stupkiewicz
Mixed formulation and finite element treatment of the mass-conserving cavitation model
Tribology International, vol. 72, pp. 143-155 (2014)
doi: 10.1016/j.triboint.2013.12.012
Last modified: January 27, 2014