Turbulent Lubrication Theory Using the Frictional Law : 1st Report, Derivation of Turbulent Coefficients and Lubrication Equation

This paper presents one of the methods for deriving a turbulent lubrication equation and a solution for the equation. The turbulent lubrication equation in the study is developed by such a procedure that the wall shear stresses in pressure flows and shear flows are evaluated based on the friction law of fluid, and their stresses are applied to turbulent lubrication by introducing a concept of equivalent pressure flow. From the analytical solutions, the effects of pressure flows on turbulent lubrication which have been neglected hitherto are considered. The effects are remarkable in the superlaminar flow regime in transit from laminar to full turbulent flows.