The paper is aimed at considering the classic plane EHL problem for heavy-loaded contacts lubricated by Newtonian and non-Newtonian fluids. The analytical analysis of the problem is based on matched asymptotic expansions. It is shown that depending on the behavior of the lubricant viscosity there are two distinct lubrication regimes: pre- and over-critical regimes. A specific way for determining which regime occurs for given conditions is proposed. For these two lubrication regimes the relationships of the mechanical mechanisms determining the solution are different and, therefore, the solution structures for the two regimes are different. Asymptotic equations for pressure and gap are derived and solved numerically for pre-critical regimes in the inlet and exit zones. The numerical solutions are stable. Formulas for lubrication film thickness for Newtonian and non-Newtonian fluids for pre- and over-critical regimes are derived based on the asymptotic analysis.

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