1.5次スリップ流れモデルによる適応係数を考慮した薄膜気体潤滑問題の解法

概要

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The 1.5-order modified Reynolds equation for solving the ultrathin film gas lubrication problem is derived using an accurate higher-order slip-flow model. This model has two differences from the current second-order slip-flow model. One is that the accommodation coefficient regarding momentum is involved. The other is that the coefficient of the second-order slip-flow term is 4/9 times smaller than that for the current second-order slip-flow model. From the physical consideration of momentum transfer, the accommodation coefficient is found to have no effect on the second-order slip-flow term. Numerical calculations using the 1.5-order modified Reynolds equation are performed. The results are compared with those using three kinds of current modified Reynolds equations: those using the first-and second-order slip-flow models and that using the Boltzmann equation. From these comparisons, it is found that the present modified Reynolds equation provides intermediate characteristics between those from the first-and second-order slip-flow models, and provides an approximation closer to the exact solution resulting from use of the Boltzmann-Reynolds equation.
一般社団法人日本機械学会の論文
1992-11-25