Multimodal Torsional Vibrations For The
Characterization Of Complex Fluids
Author(s)
T. Brack & J. Dual
Abstract
A fast and dynamic method to determine the viscosity of a Newtonian fluid can
be achieved by measuring the damping value of a torsional resonator immersed
in the fluid. For the investigation of complex fluids, the viscous as well as the
elastic behaviour of the sample have to be observed. Since these properties vary
with shear rate, several frequencies have to be analysed.
An approach is presented that allows to measure the viscoelastic parameters
of a complex fluid via the resonance frequencies and damping values of a
torsional rod vibrating at several vibration modes, i.e. at several frequencies.
The measurement is performed with a phase-locked loop (PLL) based control
loop, which uses the characteristic value of the phase difference between
excitation of the sensor and response at resonance (e.g. 90°) to track the
resonance frequencies. The slope of the phase curve at resonance, which can be
identified via two different frequencies near resonance (e.g. at 90° �� ��) is related
to the damping.
The focus of this work lies on the derivation of explicit, analytic equations
that relate the vibrational parameters of the whole system (resonator + fluid) with
the properties of the surrounding fluid for the case of low viscosity and elasticity.
Keywords: resonance sensor, vibration control, complex fluids, rheology, phaselocked
loop.
Keywords
resonance sensor, vibration control, complex fluids, rheology, phaselocked
loop.
Related Book
Other papers in this volume
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