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Magnetic forces between two axially magnetized cylinders. Case 1: Cylinders are coaxial.

Problem type:
Axisymmetrical problem of DC magnetics

Geometry:

dz = 2 cm.

Given:
Cylinder diameter D = 1 cm,
Cylinder height H = 4 cm,
Permanent magnet relative permeability μ = 1.05,
Permanent magnet coercive force Hc = 1 000 000 A/m.

Task:
Calculate the magnetic force between cylinders.

Solution:
The resulting field may be decomposed into the individual fields generated by each cylinder. The free tool Cylinder PM force 3D allows the magnetic force calculation using the automatic summation of several axisymmetrical DC magnetic fields, simulated by QuickField.

Results:

Case 1. Coaxial cylinders

Fx

Fy

Fz

Cylinder PM force 3D tool

3e-16 N

3e-16 N

1.14 N

Reference (QuickField 2D axisymmetric)

0 N

0 N

1.27 N

Reference (ANSYS 3D)

-0.10 N

0.07 N

1.30 N

Download simulation files.