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Vibrations of a pipe

Food and cosmetics

Objectives

In some industries (e.g. food or cosmetics) there is a need to check viscoelasticity properties in fluids flowing through pipes while they are processed.

There are contactless devices that can measure viscoelasticity using a wave coupling technique: a low frequency compression wave propagates through the sample to be characterised, acting as a volume palpation, while “reading” ultrasound pulses probe the sample in these various stages of compression.

Results and information extracted

Simulation of acoustic and elastic waves can predict the vibration modes of the fluid and the pipe for different configurations that can be found in industrial applications: variation of designs (thickness, length, diameter, bended pipe, etc.) and use of different materials.

It also helps to visualise and understand the behaviour of the pressure field during volume palpation in order to calibrate the ultrasound measurement and to optimise the viscoelasticity measurement.

 

Vibrations at lower frequency

In both figures, a pipe filled with fluid is shown with its mechanical deformation on the left (scaled for visualisation purpose) and with the acoustic wave (palpation) in the fluid on the right. The source tranducer which is localised where the orange arrows point at.

Vibrations at higher frequency

For a given set of materials and pipe dimensions, vibrations modes of the pipe and fluid can be very different for different frequencies, leading to different viscoelasticity measurements.

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