Research Papers: Hydrodynamic Lubrication

Modeling Squeeze Films in the Vicinity of High Inertia Oscillating Microstructures

[+] Author and Article Information
Nadim A. Diab

Department of Mechanical Engineering,
American University of Beirut,
Beirut 1107 2020, Lebanon
e-mail: nad07@mail.aub.edu

Issam Lakkis

Department of Mechanical Engineering,
American University of Beirut,
Beirut 1107 2020, Lebanon
e-mail: issam.lakkis@mail.aub.edu

1Address all correspondence to this author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 29, 2013; final manuscript received January 14, 2014; published online February 24, 2014. Assoc. Editor: Daniel Nélias.

J. Tribol 136(2), 021705 (Feb 24, 2014) (8 pages) Paper No: TRIB-13-1070; doi: 10.1115/1.4026588 History: Received March 29, 2013; Revised January 14, 2014

This work investigates the effect of various assumptions proposed by the classical Reynolds lubrication equation. In particular, a microplate oscillating at high frequencies (beyond cutoff) and high velocities leading to appreciable displacement within the film gap is studied. An analytical model is derived with special emphasis on the fluid's inertia effect on the fluid/solid interface. By implementing the direct simulation Monte Carlo (DSMC) method, a numerical method for modeling rarefied gas flow, the analytically based model is adjusted for the force exerted by the gas on the oscillating micro-structure to capture various significant effects related to the fluid's inertia, compressibility, stiffness, and damping.

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Grahic Jump Location
Fig. 1

Schematic of the oscillating microplate

Grahic Jump Location
Fig. 2

Flow-chart of the DSMC algorithm

Grahic Jump Location
Fig. 3

Average forces on the microplate as simulated by the DSMC over one period

Grahic Jump Location
Fig. 4

Pressure profiles of the gauge pressure variation over one period in the vicinity of the microplate oscillating at 400 m/s and 1 GHz

Grahic Jump Location
Fig. 8

Dependence of the model coefficients on the dimensionless groups Re and St




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