Analytical Solutions to Blocked Lubrication

When mixed/boundary lubrication problems are studied, proper boundary conditions are needed to reflect the local physical reality that occurs between fluid lubrication and solid contacts. In order to improve understanding of such reality, often in a microscopic scale hidden from direct observation, simple lubrication problems with zero net exiting flow or blocked lubrication are identified, and several analytical solutions are derived for the first time based on one- and two-dimensional Reynolds equations.