Theoretical model on the interaction of a vibrating beam and the surrounding viscous fluid with applications to density and viscosity sensors

Author

De Lara, M. Manrique ; Atkinson, C.

Author_Institution

Dept. of Math., Imperial Coll., London, UK

fYear

2004

fDate

24-27 Oct. 2004

Firstpage

828

Abstract

A new theoretical model on the frequency response of a vibrating beam immersed in a viscous fluid is developed. An integral equation is derived from the Navier-Stokes equation for an incompressible fluid, where the advection term has been neglected This equation is valid for any planar shape and characterizes the pressure distribution on the surface. The equation of a vibrating cantilever beam under the effect of a given driving force and the newly obtained fluid reaction is then solved. This method provides a means of calculating the frequency response for the Schlumberger DV-MEMS sensor.

Keywords

Navier-Stokes equations; fluid dynamics; frequency response; integral equations; microsensors; vibrations; viscosity; Navier-Stokes equation; Schlumberger DV-MEMS sensor; advection term; density sensors; fluid reaction; frequency response; incompressible fluid; integral equation; planar shape; pressure distribution; vibrating beam; vibrating cantilever beam; viscosity sensors; viscous fluid; Frequency response; Integral equations; Magnetic sensors; Mechanical sensors; Navier-Stokes equations; Oscillators; Sensor phenomena and characterization; Sensor systems; Vibration measurement; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Sensors, 2004. Proceedings of IEEE

Print_ISBN

0-7803-8692-2

Type

conf

DOI

10.1109/ICSENS.2004.1426298

Filename

1426298