ボルツマン方程式に基づく薄膜気体潤滑特性の解析　Ｉ　　一般化された潤滑方程式の導出

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  • Analysis of ultra-thin gas film lubrication based on linearized Boltzmann equation. (1st report Derivation of generalized lubrication equation)

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A generalized lubrication equation valid for an arbitrary Knudsen number, ratio of molecular mean free path and spacing, is derived through a linearized Boltzmann equation. Numerical analysis of the equation reveals two principal results. First, a modified Reynolds equation based on first order velocity slip overestimates load carrying capacity, while the approximation equation including second order velocity slip underestimates it. Second, in the case of a high compressibility number, the difference between results from the generalized equation and the approximation equations are decreased.

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