Analytical 3D-analysis of compressional wave excitation by thickness-shear-mode resonators

Roman Beigelbeck; Bernhard Jakoby

Analytical 3D-analysis of compressional wave excitation by thickness-shear-mode resonators

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

Piezoelectric thickness-shear-mode resonators are well established as viscosity and chemical liquid sensors. When immersed in the sample liquid, the resonator excites a strongly damped shear-polarized wave as well as spurious compressional waves in the liquid. The latter are scarcely damped, which can lead to disturbing interferences if they are reflected by obstacles close to the sensor. In order to analyze the spurious compressional wave excitation, we developed a three-dimensional mathematical model utilizing solutions of the linearized Navier-Stokes equation in the spatial Fourier-domain, which govern the acoustic field in the liquid. Finally, we discuss the solutions and illustrate the results by considering practical examples. © 2004 IEEE.

Original language	English
Title of host publication	Proceedings of IEEE Sensors
Pages	91 – 94
Volume	1
Publication status	Published - 2004
Externally published	Yes

Fields of science

202 Electrical Engineering, Electronics, Information Engineering

Access to Document

https://www.scopus.com/inward/record.uri?eid=2-s2.0-27944443252&partnerID=40&md5=6060ee52fa02586febdc55d478cbddba

Cite this

@inproceedings{cfb878b661ec47218a5ceb2af9172429,

title = "Analytical 3D-analysis of compressional wave excitation by thickness-shear-mode resonators",

abstract = "Piezoelectric thickness-shear-mode resonators are well established as viscosity and chemical liquid sensors. When immersed in the sample liquid, the resonator excites a strongly damped shear-polarized wave as well as spurious compressional waves in the liquid. The latter are scarcely damped, which can lead to disturbing interferences if they are reflected by obstacles close to the sensor. In order to analyze the spurious compressional wave excitation, we developed a three-dimensional mathematical model utilizing solutions of the linearized Navier-Stokes equation in the spatial Fourier-domain, which govern the acoustic field in the liquid. Finally, we discuss the solutions and illustrate the results by considering practical examples. {\textcopyright} 2004 IEEE.",

keywords = "Damping, Fourier transforms, Mathematical models, Navier Stokes equations, Piezoelectricity, Sensors, Viscosity, Chemical liquid sensors, Compressional wave excitation, TSM resonator, Viscosity sensor, Resonators",

author = "Roman Beigelbeck and Bernhard Jakoby",

note = "Conference name: IEEE Sensors 2004; Conference date: 24 October 2004 through 27 October 2004; Conference code: 66071",

year = "2004",

language = "English",

volume = "1",

pages = "91 – 94",

booktitle = "Proceedings of IEEE Sensors",

}

TY - GEN

T1 - Analytical 3D-analysis of compressional wave excitation by thickness-shear-mode resonators

AU - Beigelbeck, Roman

AU - Jakoby, Bernhard

N1 - Conference name: IEEE Sensors 2004; Conference date: 24 October 2004 through 27 October 2004; Conference code: 66071

PY - 2004

Y1 - 2004

N2 - Piezoelectric thickness-shear-mode resonators are well established as viscosity and chemical liquid sensors. When immersed in the sample liquid, the resonator excites a strongly damped shear-polarized wave as well as spurious compressional waves in the liquid. The latter are scarcely damped, which can lead to disturbing interferences if they are reflected by obstacles close to the sensor. In order to analyze the spurious compressional wave excitation, we developed a three-dimensional mathematical model utilizing solutions of the linearized Navier-Stokes equation in the spatial Fourier-domain, which govern the acoustic field in the liquid. Finally, we discuss the solutions and illustrate the results by considering practical examples. © 2004 IEEE.

AB - Piezoelectric thickness-shear-mode resonators are well established as viscosity and chemical liquid sensors. When immersed in the sample liquid, the resonator excites a strongly damped shear-polarized wave as well as spurious compressional waves in the liquid. The latter are scarcely damped, which can lead to disturbing interferences if they are reflected by obstacles close to the sensor. In order to analyze the spurious compressional wave excitation, we developed a three-dimensional mathematical model utilizing solutions of the linearized Navier-Stokes equation in the spatial Fourier-domain, which govern the acoustic field in the liquid. Finally, we discuss the solutions and illustrate the results by considering practical examples. © 2004 IEEE.

KW - Damping

KW - Fourier transforms

KW - Mathematical models

KW - Navier Stokes equations

KW - Piezoelectricity

KW - Sensors

KW - Viscosity

KW - Chemical liquid sensors

KW - Compressional wave excitation

KW - TSM resonator

KW - Viscosity sensor

KW - Resonators

M3 - Conference proceedings

VL - 1

SP - 91

EP - 94

BT - Proceedings of IEEE Sensors

ER -