The Physical and Mathematical Models for Thin Film Lubrication
Ping Huang, Shaoxian Bai
Abstract
Ping Huang, Shaoxian Bai
Abstract
Based on the fact that the lubricant molecular is with a chain structure, the physical and mathematical models for the thin film lubrication are set up after the analysis of relationship of the chain length and the film thickness is carried out. The basic equations of fluid mechanics with the rotation terms are used to derive the equivalent Reynolds equation. The results show that the load carrying capacity has a significant increase while the length effect is considered. Finally, the calculated results arc compared with the experimental results and they have the same tendency.
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Based on the fact that the lubricant molecular is with a chain structure, the physical and mathematical models for the thin film lubrication are set up after the analysis of relationship of the chain length and the film thickness is carried out. The basic equations of fluid mechanics with the rotation terms are used to derive the equivalent Reynolds equation. The results show that the load carrying capacity has a significant increase while the length effect is considered. Finally, the calculated results arc compared with the experimental results and they have the same tendency.
Key concepts: Lubrication, Lubricant, Reynolds equation, Mechanics, Lubrication theory, Chain (unit), Materials science, Rotation (mathematics)