Gas Lubrication and Dry Gas Seal, 2nd Edition

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Guest Editor
School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, China
Interests: gas lubrication; magnetic bearing; flexible electronics
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State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
Interests: aerostatic bearing; squeeze air film levitation; hybrid bearing

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Guest Editor
School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, China
Interests: gas foil bearing; rotor dynamics; finite element contact mechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Gas has distinct advantages as a clean lubricant in the applications of load bearing and sealing in high-speed and high-precision machinery. Due to its low viscosity, aerodynamic and aerostatic lubrication can overcome the DN value limit, compared with rolling and liquid bearings, without producing much frictional heat and power consumption. However, low viscosity also leads to insufficient load capacity and viscous damping, and some significant scientific and technical problems have also emerged following the demand for more extreme and special applications. Hybrid lubrication and interdisciplinary problems can also generate interesting topics in this research field.

This Special Issue aims to promote original research articles and review papers with topics related to state-of-the-art theoretical and experimental research on gas lubrication and dry gas seal.

Prof. Dr. Jianjun Du
Dr. Wenjun Li
Dr. Changlin Li
Guest Editors

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Keywords

  • gas lubrication
  • dry gas seal
  • aerodynamic lubrication
  • aerostatic lubrication
  • gas bearings
  • hybrid bearing

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Published Papers (1 paper)

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Research

19 pages, 440 KiB  
Article
Reynolds Equation for a Micro-Scale Lubrication of a Gas Between Eccentric Circular Cylinders with an Arbitrary Temperature Difference Based on Slip-Flow Theory
by Toshiyuki Doi
Lubricants 2025, 13(8), 353; https://doi.org/10.3390/lubricants13080353 - 7 Aug 2025
Viewed by 343
Abstract
Micro-scale lubrication flow of a gas between eccentric circular cylinders with an arbitrary temperature difference is studied on the basis of the Navier–Stokes set of equations and the velocity slip and temperature jump boundary conditions. The dimensionless curvature, which is defined as the [...] Read more.
Micro-scale lubrication flow of a gas between eccentric circular cylinders with an arbitrary temperature difference is studied on the basis of the Navier–Stokes set of equations and the velocity slip and temperature jump boundary conditions. The dimensionless curvature, which is defined as the mean clearance divided by the radius of the inner cylinder, is small, the Knudsen number and the Reynolds number based on the mean clearance are small, and the temperature ratio is arbitrary. The Reynolds-type lubrication equation is derived analytically. For a verification of the equation, an assessment is conducted against the solution of the direct numerical analysis of the Bhatnagar–Gross–Krook–Welander (BGKW) model of the Boltzmann equation in the author’s previous work [Doi, T. Phys. Fluids 2024, 36, 042016]. The solution of the lubrication equation agrees with that of the Boltzmann equation satisfactorily well over the slip flow regime, not only in the eccentric force and the torque but also in the local distribution of the temperature, flow velocity, and the normal stress. A superiority of the lubrication equation over the lubrication model proposed in the author’s previous work is also discussed. Full article
(This article belongs to the Special Issue Gas Lubrication and Dry Gas Seal, 2nd Edition)
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