Molecular Mean Free Path Effects in Gas Lubricated Slider Bearings : An Application or the Finite Element Solution
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概要
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Variational formulation is derived for the steady state compressible Reynolds equation under slip-flow conditions. Finite element techniques and a numerical procedure, using Newton-Raphson iteration method to solve the non-linear finite element equations, are described. These techniques are applied to conventional slider bearings and the effects of the molecular mean free path (MMFP) for a wide range of the compressibility numbers (Λ= 1〜10^4) are shown. Then, MMFP effects for different bearing configurations are compared. As a result, it is found that non-dimensional load W is useful for estimating MMFP effects. The load or velocity versus spacing characteristics are calculated for a cylindrical slider bearing. These calculations reveal that when spacing decreases with velocity fro a constant load, MMFP effects increase monotonously. However, when spacing decreases with tan increase in load at a constant velocity, MMFP effects only increase slightly. The new calculation procedure developed here has wide applicabilities, converges rapidly and saves computer memory.
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