(1) General theory
According to FIG. 1, the equal magnetic potential φ line of the magnetic field in the Y0Z plane in the magnetic pole gap is perpendicular to the equal magnetic field strength H line (ie, the magnetic field line), and the hydrodynamic plane potential flow medium velocity potential φ and the streamline ψ The relationship is the same. Of course, they should all satisfy the Laplace equation. The specific form of the Laplace equation for the magnetic potential in the cylindrical coordinate system is:
In the formula, A, A 0 and K——— are all certain values. [next]
(2) Several special magnetic pole shapes and their theories
Discuss the magnetic poles under the following special conditions:
A magnetic pole gap is wedge shape. When k=0, the shape of the magnetic pole is the simplest and is a common wedge shape.
It is known that when k=0, the equal-potential equation is φ=A 0 θ (Equation 2). At this time, the equipotential surface of the magnetic field is determined by φ=A 0 θ=K. K is a constant and the magnetic pole is wedge-shaped. The value of K is determined according to the needs of the work.
In addition, the equipotential equation can also be written as:
Therefore, θ=±θ 0 can be selected as the wedge-shaped magnetic pole surface, and the origin 0 is the starting point of the two surfaces, and θ is the angle, as shown in FIG. 2 .
The magnetic pole angle θ is generally 20°.
This wedge-shaped magnetic pole, because the actual magnetic pole is only a part of the equipotential surface, the above conclusion can only approximate the actual situation. In particular, the upper edge effect of the magnetic pole is strong, and the theoretical and actual access are large, so attention should be paid.
The advantage of this magnetic pole is that the structure is simple and easy to manufacture; the disadvantage is the magnetic field strength in the magnetic pole gap The relationship with the height of the Y-axis is nonlinear, although it is beneficial to heavy minerals, but it is not conducive to the separation of light minerals.
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