Discussion on the Reynolds equation for the slipper bearing modeling in axial piston pumps

This work presents a new Reynolds equation for the slipper bearing in axial piston pumps which considers the slipper spin. As an extension of this new Reynolds equation, some typical cases are derived for different velocity boundary conditions. It is found that the present Reynolds equation is identical in form to that in the previous literature, but they are entirely different from each other in the velocity boundary condition. The reasons for the incorrect velocity boundary condition in the previous studies are analyzed, followed by a calculation of the relative velocity error. It is concluded that the Reynolds equation in the present work is more capable of representing the lubrication model for the slipper bearing.