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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.

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