Table 1 CACалтъΙκοв calculates all α ji coefficients when the number of groups k ≤ 15 (Table 1). When calculating the coefficients in the reference table, it should be noted that it is only applicable to the case where the diameter of the mineral particle ball (or the plane truncation on the light (thin) piece) is grouped by the phase synchronization length △. With this coefficient table, when (Nv)1 in the first example is calculated by the equation (10), the following formula can be used:
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1
(N v ) 1 = ——[ α 1-1 (N A ) 1 + α 1-2 (N A ) 2 + α 1-3 (N A ) 3 ]
â–³
In the formula, the coefficient α ji , except for the first term (ie, when ji) is positive, the other items are negative values ​​(the table has been marked with a positive sign (+) or minus sign (- in front of the corresponding coefficient value). )).
Where j is the number of groups of mineral particle diameter d(v);
i - the number of groups of circular (d) diameters on the light (thin) sheet;
(N v ) 1 - the number of particles of the spherical particle diameter d (v) 1 = 1 Δ per unit volume ;
1
—— α 1-1 (N A ) 1 —— The spherical diameter deduced by the plane truncation of d (A)1 = 1 △ is d (V)1 = 1 △, d (V) 2
â–³
= 2 â–³, d (V) 3 = 3â–³ total number of particles.
(N A ) 1 - The number of cut-outs of the diameter d (A) 1 = 1 △ per unit area on the light (thin) sheet. Mineral particles with a spherical diameter d (V)j ≥ d ( a) 1 may be cut by a light (thin) piece into a circle of d (V) 1 = 1 △. Ie (N A ) 1 contains by d
(V)1 =1â–³, d (V)2 = 2â–³, d (V)3 = 3â–³ Three types of spherical mineral particles are cut by light (thin) sheets
(A) 1 = 1 â–³ truncation;
1
—— α 1-2 (N A ) 2 —— The spherical diameter deduced by the plane truncation of d (A) 2 = 2 △ is d (V) 2 = 2 △ , d (V)
â–³
3 = 3 â–³ total number of particles.
(N A ) 2 ——The number of cut-outs of the diameter d (A) 2 = 2 △ per unit area on the light (thin) sheet. Similarly, (N A ) 2 contains d (A) 2 which are cut from light (thin) sheets by spherical mineral particles of d (V) 2 = 2 △ and d (V) 3 = 3 Δ. a circle of =2 △;
1
- α 1-3 (N A) 3 - a d (A) 3 = 3 △ sectional plane circle diameter of the ball can be calculated respectively d (V) 3 = 3 △ , the teeth
â–³
The total number of grains. Conversely, it can be understood that the number of truncated circles of the mineral particles in the spherical diameter d (V) 3 = 3 Δ is cut by the light (thin) sheet into d (A) 3 = 3 △;
(N A ) 3 ——The number of cut-offs of the diameter d (A) 3 = 3 △ per unit area on the light (thin) sheet. This kind of rounding can only be done by d (V)3 = 3
The â–³ mineral particle ball is obtained by cutting.