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Repelling of the ring-shaped magnets

QuickField simulation example

Two coaxial permanent ring-shaped magnets repel each other.

Problem Type
Axisymmetric problem of magnetostatics

Geometry
Repelling of the ring-shaped magnets Two coaxial permanent ring-shaped magnets repel each other Permanent magnet Permanent magnet δ l D1 D2

D1 = 2" (50.8 mm) inner diameter of the ring magnet;
D2 = 0.5" (12.7 mm) outer diameter of the ring magnet;
L = 0.75" (19.05 mm) - thickness of the magnet;
δ=0.5" (12.7 mm) - gap between the magnets.

Given
magnet grade N35, Hc = 954930 A/m, Br = 1.26 T;

Task
Calculate the repelling force between two coaxial ring-shaped permanent magnets.

Solution
For accurate calculation, the integration contour is drawn in the air around one of the magnet.

Result
Magnetic field lines and mechanical force calculation
Two coaxial permanent ring-shaped magnets repulsion simulation

Repelling force
QuickField 160 N
Reference* 175 N (38.51 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.