A fast algorithm for boundary slippage including mass flow conserving cavitation model

摘要

AbstractThis study investigates a new fast algorithm to solve the tangential velocity slip problem for infinitely long device (1-dimensional Reynolds equation). Solution of the Reynolds equation is obtained by solving a sequence of ordinary differential equation. This approach is used for different models of slippage including shear limited model and two-component slip model. It can be applied also for possible slippage on both upper and lower surfaces of the contact. Cavitation can also be included using a mass flow conserving model.The algorithm has been tested on numerous examples from the literature.Compared to usual methods which solve partial differential equations, this method of solving differential equations is very fast and makes it possible to test various sliding conditions.Graphical abstractDisplay OmittedHighlights?New formulation for the tangential slip problem for one-dimensional devices.?Fast algorithm including mass flow conserving cavitation model.?Include shear limited and double-parameter slip models.]]>