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Fig 1.

Flowchart of the DEM algorithm.

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Fig 1 Expand

Fig 2.

Schematic diagram of the funnel.

(a) slit funnel;(b) slit baffle funnel.

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Fig 2 Expand

Table 1.

Funnel geometry parameters.

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Table 1 Expand

Table 2.

Particle parameters.

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Table 2 Expand

Fig 3.

The relationship between flow rate and funnel outlet width and funnel half-angle.

The funnel outlet width W ranges from 1.1 to 10 d and the funnel half-angle θ is equal to 30°, 45°, and 60°.

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Fig 3 Expand

Fig 4.

The clogging probability J(d) in a slit funnel.

Funnel half-angle θ is equal to 30°, 45°, and 60°. The illustration shows the total number of particles discharged from the funnel before the funnel clogged.

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Fig 4 Expand

Fig 5.

Side view of slit baffle funnel.

The red arrow is the direction of particle flow.

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Fig 5 Expand

Fig 6.

The flow rate of R1 in the slit baffle funnel.

Where H = 10 d and the red dotted line is the flow rate of slit funnel.

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Fig 6 Expand

Fig 7.

The flow rate of R2 in the slit baffle funnel.

Where H = 10 d.

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Fig 7 Expand

Fig 8.

The proportion of R2 flow rate in the slit baffle funnel out of the total flow rate.

The value of baffle height H is taken as 10 d.

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Fig 8 Expand

Fig 9.

Detail flow rate in the slit baffle funnel along the y-direction.

Where the funnel half-angle θ is 30° and the baffle height H is 10 d. The black dashed line indicates the baffle.

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Fig 9 Expand

Fig 10.

Velocity field diagram of particles inside the slit baffle funnel.

The funnel outlet width W = 1.5 d, the funnel half-angle θ = 30°, and the baffle height H = 10 d. (a) Velocity field in the x-direction; (b) velocity field in the y-direction; (c) velocity field in the z-direction; and (d) total velocity field.

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Fig 10 Expand

Fig 11.

Velocity diagram of particles flowing out of the slit baffle funnel along the y-direction.

Wherein, the funnel outlet width W = 1.5 d; the funnel half-angles θ are 30°, 45°, and 60° and the baffle height H is equal to10 d. The black dashed line in the figure indicates the baffle. (a) Outflow velocity in the x-direction; (b) outflow velocity in the y-direction; (c) outflow velocity in the z-direction.

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Fig 11 Expand

Fig 12.

Variation of flow rate with baffle height in a slit baffle funnel.

The funnel half-angle θ is equal to 30° and the funnel outlet width W ranges from 1.1 to 2.0 d. (a) Variation of R1 flow rate and (b) variation of R2 flow rate.

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Fig 12 Expand

Fig 13.

The proportion of R2 flow rate in slit baffle funnel with different baffle heights.

Where funnel half-angle θ is equal to 30° and the outlet width W ranges from 1.1 to 2.0 d.

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Fig 13 Expand

Fig 14.

Variation of R2 flow zone length with baffle height in slit baffle funnel.

Where L’ denotes the R2 flow zone length. (a)The funnel half-angle θ is equal to 30° and the outlet widths W equal to 1.3 d, 1.4 d, and 1.5 d; and (b) the funnel outlet width W = 1.4 d and the half-angle θ are 30°, 45°, and 60°.

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Fig 14 Expand