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Liquid level capacitive sensor - QuickField simulation example

This simulation example of liquid level capacitive sensor is prepared by Dieter Stotz as a part of the webinar Level measurement on liquids, part 2.

Engineering question

How to find capacitance change in liquid level sensors?

Engineering answer
Set up an axisymmetric QuickField AC Conduction problem for a liquid level capacitive sensor and evaluate capacitance change from computed field results.

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Typical applications
cylindrical capacitors, coaxial electrodes, capacitive displacement sensors

Liquid level capacitive sensor

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Simulation problem

Problem Type
Axisymmetric problem of AC conduction.

Geometry
Liquid level capacitive sensor Determine vessel potential as a function of the liquid level Min Max Liquid U~ V Electrode

Given
Electric permittivity of liquid ε = 81, electrical conductivity σ = 0.1 S/m.
Electrode potential difference U~ = 2 V, frequency 30 kHz.

Task
Determine vessel potential as a function of the liquid level.

Solution
The geometry model features rotational symmetry and can be simulated as a 2D axisymmetric problem. In axisymmetric problems the axis of rotation is a horizontal one.
A series of problems with different liquid levels is generated by LabelMover.

Results
Vessel potential is a nonlinear function of the liquid level.

Conduction current density distribution in the liquid.
Current density distribution in the liquid

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