Fluid impedance model for immersed resonators with rectangular cross-section

Description

Electromechanical resonators are used as viscosity sensors where the effect of the fluid loading on the resonance parameters is evaluated. Cantilever, tuning fork, or suspended plate geometries can be designed for a desired range and sensitivity to viscosity and density. A complete numerical analysis of a resonator design is often not feasible due to the large computational effort. We introduce a reduced-order fluid impedance model valid for a large class of geometries. The fluid structure interaction is characterized by three parameters, an effective volume, an effective interaction surface, and an effective length, denoted as the LAV parameters. For idealized geometries these parameters can be derived analytically. For general cases they are calculated from linear finite element analysis. We derive scaling laws based on finite elements analysis for rectangular cross sections which are relevant for cantilevers, tuning fork, and suspended plate resonators. The application of this model is on the one hand the tailoring to specified viscosity range and sensitivity, and the evaluation of measurement data on the other hand.

Period	06 Sept 2016
Event title	Eurosensors 2016
Event type	Conference
Location	HungaryShow on map