Complete Semi-Numeric Model of a Double Membrane Liquid Sensor for Density and Viscosity Measurements

Abstract A complete model of a resonating sensor for fluid density and viscosity is obtained by applying spectral domain techniques. It describes a sample chamber sealed by two polymer membranes which carry conductive paths for Lorentz force excitation and inductive readout. 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 and tested in a representative parameter range. In this paper the results of several contributions dealing with the described and with similar setups are summarized to show a comprehensive picture of the state of the art.