Derivation of reduced order models from complex flow fields determined by semi-numeric spectral domain models

► Full 3D efficient numerical model for fluid sensor using Green's functions and Fourier collocation. ► Complex sensor behavior is analyzed for different modes and geometries. ► Energy methods are used to derive simpler models from the simulated fields. ► Spectral domain formulations and eigens...

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Bibliographic Details
Published in:Sensors and actuators. A. Physical. 2013-11, Vol.202, p.44-51
Main Authors: Voglhuber-Brunnmaier, Thomas, Heinisch, Martin, Reichel, Erwin K., Weiss, Bernhard, Jakoby, Bernhard
Format: Article
Language:English
Subjects:
Actuators
Approximation
Density
Derivation
Energy methods
Liquid sensor
Liquids
Mathematical models
Rheometer
Sensors
Spectra
Spectral methods
Viscosity
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Summary:► Full 3D efficient numerical model for fluid sensor using Green's functions and Fourier collocation. ► Complex sensor behavior is analyzed for different modes and geometries. ► Energy methods are used to derive simpler models from the simulated fields. ► Spectral domain formulations and eigensystems are provided for general use. A resonating sensor to measure liquid density and viscosity is investigated. The sensor consists of a sample cell sealed by two polymer membranes carrying conductive paths for Lorentz force excitation and inductive readout. The setup is modeled by a semi-numeric method in the spectral domain. The model is used to reproduce and to explain experimentally demonstrated and previously published results. From the verified numerical model, simpler approximate equations are derived using energy methods. Furthermore, adverse effects which can impair the proper operation are discussed.
ISSN:0924-4247
1873-3069
DOI:10.1016/j.sna.2013.02.013