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Table 1.

Elemental composition of the coal gangue sample.

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Table 1 Expand

Fig 1.

Characteristics of the occurrence of Ca and Mg.

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Fig 1 Expand

Table 2.

Grain size distribution and calcium–magnesium content of crushed coal gangue.

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Table 2 Expand

Table 3.

Density composition and calcium-magnesium content of crushed coal gangue.

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Table 3 Expand

Table 4.

Main structural parameters of the conventional cyclone and bottom-impact cyclone.

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Table 4 Expand

Fig 2.

Structural schematic diagram of conventional cyclone and bottom-impact cyclone.

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Fig 2 Expand

Fig 3.

Characteristic structural diagram of bottom-impact cyclone.

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Fig 3 Expand

Fig 4.

Grid independence verification.

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Fig 4 Expand

Fig 5.

Theoretical and actual diagrams of the cyclone separation enrichment system for calcium and magnesium components.

(a) Theoretical diagram; (b) Actual diagram.

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Fig 5 Expand

Fig 6.

Pressure distribution of the conventional hydrocyclone under different feed velocities.

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Fig 6 Expand

Fig 7.

Tangential velocity distribution of the conventional hydrocyclone under different feed velocities.

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Fig 7 Expand

Fig 8.

Axial velocity distribution of the conventional hydrocyclone under different feed velocities.

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Fig 9.

Air column cloud map under different inlet velocities in the conventional hydrocyclone.

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Fig 9 Expand

Fig 10.

Pressure distribution of bottom-impact hydrocyclone at different impact pipe heights.

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Fig 10 Expand

Fig 11.

Pressure distribution at X = 0 and different sectional heights under different impact pipe heights in the bottom-impact hydrocyclone.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, and (f) Z = −246 mm.

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Fig 11 Expand

Fig 12.

Tangential velocity distribution of the bottom-impact hydrocyclone at different impact pipe heights.

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Fig 12 Expand

Fig 13.

Tangential velocity distribution at X = 0 and different sectional heights under different impact heights in the bottom-impact hydrocyclone.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, (f) Z = −246 mm.

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Fig 13 Expand

Fig 14.

Axial velocity distribution of the bottom-impact hydrocyclone under different impact pipe heights.

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Fig 14 Expand

Fig 15.

Axial velocity profiles of the bottom-impact hydrocyclone at X = 0 and different section heights.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, (f) Z = −246 mm.

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Fig 15 Expand

Fig 16.

The air column in the bottom-impact cyclone under different impact pipe heights.

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Fig 16 Expand

Fig 17.

Pressure distribution of the bottom-impact cyclone under different impact velocities.

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Fig 17 Expand

Fig 18.

Pressure distribution diagrams at the X = 0 plane and different height sections under various impact velocities in the bottom-impact cyclone.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, and (f) Z = −246 mm.

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Fig 18 Expand

Fig 19.

Tangential velocity distribution under different impact velocities in the bottom-impact hydrocyclone.

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Fig 19 Expand

Fig 20.

Pressure distribution diagrams at the X = 0 plane and different height sections under various impact velocities in the bottom-impact cyclone.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, (f) Z = −246 mm.

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Fig 20 Expand

Fig 21.

Axial velocity distribution under different impact velocities in the bottom-impact hydrocyclone.

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Fig 21 Expand

Fig 22.

Axial velocity distribution at the X = 0 plane and different sectional heights under different impact velocities in the bottom-impact hydrocyclone.

(a) Z = −85 mm, (b) Z = −166 mm, (c) Z = −186 mm, (d) Z = −206 mm, (e) Z = −226 mm, (f) Z = −246 mm.

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Fig 22 Expand

Fig 23.

Air core cloud map of bottom-impact hydrocyclone at different impact velocities.

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Fig 23 Expand

Fig 24.

Overflow coarse‐carry rate and underflow fine-carry rate of the conventional hydrocyclone at different feed velocities.

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Fig 25.

Hancock’s overall classification efficiency of the conventional hydrocyclone at different feed velocities.

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Fig 26.

Ash content under different feed velocities in the conventional hydrocyclone.

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Fig 27.

Calcium and magnesium content under different feed velocities in the conventional hydrocyclone.

(a) Calcium content, (b) Magnesium content.

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Fig 27 Expand

Fig 28.

Overflow coarse‐carry rate and underflow fine-carry rate of the bottom-impact hydrocyclone at different impact pipe heights.

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Fig 29.

Hancock’s overall classification efficiency of the bottom-impact hydrocyclone at different impact pipe heights.

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Fig 30.

Ash content of the bottom-impact hydrocyclone at different impact pipe heights.

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Fig 30 Expand

Fig 31.

Calcium and magnesium content of the bottom-impact hydrocyclone at different impact pipe heights.

(a) Calcium content, (b) Magnesium content.

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Fig 31 Expand

Fig 32.

The overflow coarse‐carry rate and underflow fine-carry rate of the bottom-impact hydrocyclone at different impact velocities.

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Fig 32 Expand

Fig 33.

Hancock’s overall classification efficiency of the bottom-impact hydrocyclone at different impact velocities.

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Fig 33 Expand

Fig 34.

Ash content at different impact velocities in a bottom-impact hydrocyclone.

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Fig 34 Expand

Fig 35.

Calcium and magnesium content at different impact velocities in a bottom-impact hydrocyclone.

(a) Calcium content, (b) Magnesium content.

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Fig 35 Expand