Abstract
This paper presents a new modified Reynolds equation for ultrathin gas film lubrication in the whole range of Knudsen numbers. Weber's technique, which combines the viscous slip-flow equation and free molecule flow equation, is improved by adding another coefficient to describe more precisely Poiseuille flow rate between two parallel plates at an arbitrary Knudsen number. It is shown that the theoretical flow rate by the improved technique agrees well with Dong's experimental results in the wide range of Knudsen numbers from 0.003 to 900. The modified Reynolds equation using the theoretical flow rate is as simple in form and easy to handle in numerical analysis as existing modified Reynolds equations using the slip-flow models. Numerical calculations of load carrying capacity are performed for comparison with those obtained from other modified Reynolds equations. It is found that the present modified Reynolds equation provides intermediate characteristics between those from Burgdorfer's modified Reynolds equation and those from the generalized Reynolds type lubrication equation based on the Boltzmann equation.
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