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Mu-metal cylinder shield for the static magnetic field shielding

QuickField simulation example

This is an example of the mu-metal cylinder shielding simulation, performed with QuickField software. Example is prepared by Professor James R. Claycomb as a part of the webinar QuickField for Electromagnetic Shielding Applications.

Problem Type axisymmetric problem of DC magnetics.

Geometry
Mu-metal cylinder shield >Mu-metal cylinder shield for the static magnetic field shielding L=10cm D=10cm

Given
Relative magnetic permeability of mu-metal μ = 10000,
External field B = 0.5 T.

Problem:
Determine the shielding factor for axial and transverse field direction.

Solution
Two problems were simulated: axisymmetric (mu_metal_rz.pbm) for the axial magnetic field and plane-parallel (mu_metal_transverse.pbm) for the transverse magnetic field. Uniform external magnetic field was defined by assigning non-zero vector magnetic potential on the simulation area boundary.

Results
Magnetic field strength distribution in case of the axial magnetic field
Axial magnetic field strength inside the shield

Magnetic field strength distribution in case of the transverse magnetic field
Transverse magnetic field strength inside the shield

Magnetic flux density
inside the cylinder shield
Axial field 78 mT (16%)
Transverse field 0.56 mT (0.1%)