On Modeling Two-mode Vibration Sensors For
Combined Density And Viscosity Measurements
Author(s)
T. Wattinger, L. Zartmann & J. Dual
Abstract
Torsional and bending mode vibrations of a hollow cylinder shall be used for
combined measurement of density and viscosity of a fluid. The employment of
two different vibration modes has the advantage that modes with good sensitivity
for either density or viscosity measurements can be used. For a detailed discussion
of the dependencies of the sensitivity, a description of the fluid forces and a model
of the sensor are required. Analytical solutions for the fluid forces acting on
an oscillating cylindrical structure usually consider a two-dimensional situation.
FEM simulations are performed in order to investigate the suitability of such
solutions in order to describe fluid forces in a three-dimensional situation and for
different bending modes. For the case at hand, an analytical relationship between
the resonance frequency and the density of the liquid can be formulated. This
analytical relationship forms a valuable basis for further investigations.
Keywords: vibration sensor, bending, density and viscosity.
1 Introduction
In many industrial production processes the control of fluid properties plays a key
role. Monitoring of fluid density and viscosity is of particular importance in food,
cosmetics, petrochemical, and general chemical industry. Examples of applications
are density and concentrationmeasurements in beverages, in intermediate products
of refineries or in fuel blends.
In the literature several resonator sensors for the combined measurement of
density and viscosity are proposed. Krall and Sengers [1] evaluates the damping
and oscillation period of an oscillating disk. Da Mata et al. [2] presents a vibratingwire
sensor, for which the tension in the wire is determined by the hydrostatic
Keywords
vibration sensor, bending, density and viscosity
Related Book
Other papers in this volume
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