NDLI: Compact model for a MEM perforation cell with viscous, spring, and inertial forces

Content Provider	Springer Nature Link
Author	Veijola, Timo
Copyright Year	2008
Abstract	A compact model for calculating damping, inertial, and spring forces in a perforated squeeze-film damper is reported. The repetitive pressure patterns around each perforation are utilized by analyzing the visco-acoustic wave transmission around the hole in a cylindrical volume, called perforation cell. The model is needed in applications where the acoustic wavelength of the oscillation is comparable with the dimensions of the perforation cell. The model is constructed of acoustic impedance two-ports. A novel model is derived for the air gap region, and a published two-port model is used for the hole. The impedances for these two-ports are derived from the low reduced frequency model that is equivalent with linearized, harmonic Navier–Stokes equations for acoustic wave propagation in thin channels. This model considers also the transition from the isothermal conditions at low frequencies to the adiabatic ones at high frequencies. The dimensions of MEMS structures are considered using slip conditions for velocities and temperatures. Also, an easy-to-use simplified model for frequencies where the squeeze number and the Reynolds numbers are below unity is derived. The analytical compact model is verified with FEM simulations using a harmonic solver for linearized Navier–Stokes equations with slip boundary conditions in a wide range of perforation ratios. The maximum relative error in the damping coefficient in the simulated cases was 20% upto the first resonant frequency.
Starting Page	203
Ending Page	219
Page Count	17
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	6
Issue Number	2
e-ISSN	16134990
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-06-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Gas damping Perforation Compact model Viscoelastic wave propagation Biomedical Engineering Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

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