Strona 2_redak - Instytut Agrofizyki im. Bohdana DobrzaÅskiego ...
Strona 2_redak - Instytut Agrofizyki im. Bohdana DobrzaÅskiego ...
Strona 2_redak - Instytut Agrofizyki im. Bohdana DobrzaÅskiego ...
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94<br />
unconfined yield strength to powder density 1 c was used as a measure of flowability,<br />
a low degree of consistence with the direct shear test was observed, particularly at low<br />
range of normal pressure. At higher levels of normal pressure, both the methods gave<br />
fairly close results. The authors [16] performed a ranking of a number of materials<br />
based on the Jenike and Johanson methods and found that the two methods gave<br />
results in a fairly good agreement. In summary, Johanson’s indcizer was found to<br />
be a convenient and repeatable tool to use, but its predicted 1 c values and arching<br />
and rathole diameters did not correlate well with the results of the Jenike cell. For<br />
some materials good agreement of flowability ranking was obtained under certain<br />
circumstances, but the basis for these l<strong>im</strong>iting circumstances could not be quantified.<br />
JR Johanson Inc. proposed investigations of materials in a wide range of<br />
temperature and moisture content. Standard testing has been offered for determination<br />
of density, permeability, strength and angles of friction and adhesion.<br />
Testing of flowability using Johanson’s indices is also offered. Values of parameters<br />
for determination of the indices are measured under pressures and for scale<br />
factors corresponding to the d<strong>im</strong>ensions of equipment applied in the process<br />
under consideration. Some indices have physical d<strong>im</strong>ensions expressed in US<br />
units, as for that market the equipment was meant.<br />
The Arching Index (AI), with a typical range of 0-4 ft (1.22 m), is the conical<br />
hopper outlet required for unaided gravity flow after dropping the solids into an<br />
empty hopper and ensuring arch collapse in a conical bin. The AI is related with<br />
material properties as follows: AI = 2.21 c /, where 1 c i are measured under normal<br />
consolidation pressure of: 3d/2.<br />
The Ratholing Index (RI) – typical range, 0-30 ft (0 to 9.15 m) – is the flow<br />
channel size in a hopper required for a solid to collapse into the hole above the<br />
outlet, if arching did not occur. RI also provides a good indication of lumping<br />
tendency. If, after a t<strong>im</strong>e at rest, the solids RI exceeds 10 ft (3.05 m) a lump breaker<br />
may be needed in the system. The RI is related with material properties as follows:<br />
RI = 2.51 c where 1 c DQGDUHPHDVXUHGDWFRQVROLGDWLRQSUHVVXUHRId.<br />
The Hopper Index (HI) is the min<strong>im</strong>um half-angle of a conical hopper, required<br />
to ensure flow along the hopper walls. Its value is HI = 42 –3where –3 is the<br />
angle of kinetic friction measured at nRUPDO FRQVROLGDWLRQ VWUHVV RI d, or if 3<br />
increases with an increase in stress value of 3 determined at the stress level of D.<br />
The Flow Rate Index (FRI) – typical range 1-12000 lb min -1 (0.5 to 5400 kg min -1 )<br />
is the rate at which the solid will flow through a hopper outlet of diameter d when<br />
totally deaerated. Low value of FRI usually points out to fine, highly compressible<br />
powder. Particles of sizes in excess of 400 m are usually incompressible, very<br />
permeable, and have a high FRI. Variation in the value of the index may be a signal<br />
of segregation or change in composition of powder mixture during processing.