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Computational Modelling

Granular Flow - Application

Discharge from cylindrical hoppers

Contact personnel:  P.W. Cleary

Hoppers are often used for particle storage in the mineral processing and manufacturing industries. They consist of large storage areas with some type of discharge region below. A particularly common type is a cylindrical hopper with a single central discharge port.

DEM simulations have been undertaken for a cylindrical hopper, 3 m high and 1.5 m in diameter, having a discharge port of 400 mm diameter. The hopper chute angle of the conical section is 45 degrees. The spherical particles are uniformly distributed in size between 40 and 80 mm diameter, with 25,000 required to fill the hopper.

The figure below left shows the location of the particles (coloured by initial vertical position) at one time during the discharge. In this view the particles and the hopper have been cut away to show details of the particle distribution within the centre of the hopper. Even at this early time during the discharge, the preferential flow down the centre of the mill is clearly discernible.

Many materials will not flow in hoppers with such shallow hopper chute angle. In order to avoid excessively tall structures, it is quite common to have multiple discharge ports from multiple conical sections with a much steeper chute angle. Multiple discharge ports can also be used if large ranges of flow rates are required or if the material needs to flow to different destinations.

DEM simulations have been performed for a cylindrical four-port hopper, 4 m high and 1.5 m in diameter. The four discharge ports each have a diameter of 250 mm and a conical chute angle of 60 degrees. The particles are uniformly distributed in size between 25 and 60 mm. For this case, 70,000 particles are required to fill the hopper, and particles discharge through all four ports. The figure below right shows a cutaway view of the discharge from the four-port hopper.

single_port.gif (16220 bytes) four_port.gif (19337 bytes)
Cutaway view of the discharging of particles (coloured in layers) from cylindrical single-port (left) and four-port (right) hoppers.

DEM modelling can be used to assess the effect of using only some of the discharge ports and to assess the impact of various combinations of these on the forces applied by the flowing granular material to the hopper structure. The existence of stagnant regions can also be identified along with other impediments to flow, which are much more common in multiple discharge hoppers.

Download animation: AVI (384x288 pixels; 2.8 MB)
QuickTime (384x288 pixels; 4.1MB)

 

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last updated July 18, 2007 05:24 PM

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