Special Section on BioMEMS, Theory and Practice of MEMS/NEMS, and Sensors

Particle-particle interactions in a viscous liquid: an equivalent elastohydrodynamic lubrication model

[+] Author Affiliations
Li-Ming Chu

I-Shou University, Department of Mechanical and Automation Engineering, Kaohsiung 840, Taiwan

Jin-Yuan Lai

National Sun Yat-Sen University, Department of Mechanical and Electro-Mechanical Engineering, Kaohsiung 804, Taiwan

Wang-Long Li

National Cheng Kung University, Institute of Nanotechnology and Microsystems Engineering and Center for Micro/Nano Science and Technology, No.1 University Road, Tainan 701, Taiwan

Chi-Hui Chien

National Sun Yat-Sen University, Department of Mechanical and Electro-Mechanical Engineering, Kaohsiung 804, Taiwan

J. Micro/Nanolith. MEMS MOEMS. 9(3), 031008 (July 07, 2010). doi:10.1117/1.3455366
History: Received October 26, 2009; Revised December 01, 2009; Accepted December 09, 2009; Published July 07, 2010; Online July 07, 2010
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The fundamental study of particle-particle interactions along their line of center in a viscous liquid is valuable on the measurement of atomic force microscopy in liquid phase and the surface force apparatus, and the determination of bulk properties of the suspension in solutions and granular fluid. An equivalent elastohydrodynamic lubrication (EHL) model is proposed for the fundamental study. The surface roughness on the particle surface is modeled as a sphere covered by a porous layer. The collisions between particles are modeled as pure squeeze EHL motion of circular contacts at impact loading. The Stokes equation and the Darcy law are used to describe the flow in the clear fluid region and porous region, respectively. The derived transient modified Reynolds equation, the elasticity deformation equation, ball motion equation, and lubricant rheology equations are solved simultaneously to obtain the transient pressure profiles, film shapes, normal squeeze velocities, and accelerations. The effects of the porous layer thickness and the proportionality constant on the variations of pressure, film thickness, squeeze velocity, squeeze acceleration, relative impact force, total impact time, and the phase shift of the time are discussed.

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© 2010 Society of Photo-Optical Instrumentation Engineers

Citation

Li-Ming Chu ; Jin-Yuan Lai ; Wang-Long Li and Chi-Hui Chien
"Particle-particle interactions in a viscous liquid: an equivalent elastohydrodynamic lubrication model", J. Micro/Nanolith. MEMS MOEMS. 9(3), 031008 (July 07, 2010). ; http://dx.doi.org/10.1117/1.3455366


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