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

Abstract 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.