(1) The newborn small continuous body after the rupture of the large particle continuous body, regardless of its shape, grain size or position, is independent of its position in the original continuum.
(2) The maximum particle size of the ore crushed product should be less than the process particle size of the constituent mineral. In this way, the particles in the product can only have four types: gangue monomer, useful mineral monomer, adjacent continuum and a very small amount of wrapped continuum.
(3) When analyzing the relevant properties of the ground particles, they can be regarded as spherical, and the geometric shapes are similar before and after the particles are broken.
Law 1: Conservation of the boundary area
When the hard and brittle ore materials composed of various minerals are crushed by force, no matter how much the materials are finely ground, the original interface area between different minerals remains basically unchanged.
The premise of the law is that mineral monomers are derived from pulverization and dissociation. In fact, as long as the adhesion strength between the various minerals is not significantly lower than the mineral strength, then the probability of dissociation along the mineral interface is almost zero when the material is crushed by force. Therefore, no matter how the fineness of the material grinding is improved, since the particle breakage occurs at the cross-cut interface, its original interface area will remain constant.
Law 2: Consistent body surface area is constant
Since the connected body of the grinding product is in principle only one adjacent type, the other three types of continuums such as the wrapped type are basically missing or rare, and the geometric shapes before and after the particle breaking are similar to each other, so a certain grinding product In other words, although its fineness of grinding will change constantly during the grinding process, the surface area of ​​the connected body will remain basically constant.
The boundary area of ​​Law 1 is constant, which is actually the constant boundary area of ​​the connected body in the product. The geometrical properties of the spherical particles determine that the surface area of ​​the continuum and the boundary area between the various mineral phases are only proportional to the square of the particle diameter. Since the sum of the boundaries of the continuum remains unchanged during the grinding process, Of course, the sum of the surface areas of all the continuum in the product should also be constant. The finer grain surface area of ​​the increased grinding of the product has in principle been attributed to the nascent mineral monomers.
Law 3: The total volume of the continuum is proportional to the particle size.
Under the premise that the continuum is dominated by the adjacent type, Law 2 has confirmed that the sum of the surface areas of the continuum in a certain product is constant. Basic physics common sense indicates that the volume or mass of a particle is usually proportional to the cube of its characteristic size (the feature size of the sphere is the diameter, and the feature size of the cube is the side length). Therefore, it can be inferred that the volume of the continuum in the product The total mass (or mass) must be proportional to the average particle size.
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