Current Works in Mineral Processing

CWiMP
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Volume 1, Number 1, March 2019

Review on the Applications of Apparent Mean Shape Factor on the Integration of Coarse and Fine PSDs Measured by Different Techniques: Quartz Example
DOI:

10.22606/cwimp.2019.11004
**Author(s)**
U. Ulusoy

^{1,*}, M. Yekeler

^{1}, O.Y. Gülsoy

^{2}, N. A. Aydoğan

^{2}, C. Biçer

^{1} and, Z. Gülsoy

^{1}
**Affiliation(s)**
^{1}Department of Mining Engineering, Sivas Cumhuriyet University, TR-58140, Sivas, Turkey

^{2}Department of Mining Engineering, Hacettepe University, TR-06532, Ankara, Turkey

**Abstract**
In most industry where grinding is utilized, particle size, which is a decisive element in
establishing the productivity of production processes and execution of the end product, is analyzed to
describe the size distribution of particles in a given sample. In mineral and coal processing, particle
size distributions (PSDs) of particulate materials were traditionally accomplished by sieving, which
gives inaccurate particle size and PSD below 38 μm. This paper reviews the studies related to the
combinations PSDs of different mill products of the same quartz mineral by using different particle
size measurement techniques to build the whole PSDs including coarse and fine PSDs. For this
purpose, almost pure quartz mineral (which is the most suitable brittle material that gives first order
grinding kinetics) ground by ball and rod mill products that are the most widely used conventional
mills in mineral processing were measured by different size analysis techniques, i.e. sieving for coarse
sizes, Andreasen pipette sedimentation, and laser diffraction for fine sizes below 38 μm and combined
them to construct whole size distribution by using apparent mean shape factor, r.
The results were satisfactorily well for both cases; PSDs by laser diffraction size distributionsieving
and PSDs by Andreasen pipette sedimentation-sieving, i.e., a smooth overlap of corrected
laser diffraction and sieving PSDs and Andreasen pipette sedimentation and sieving PSDs were
obtained by applying to the particle size distribution with r shifting to the right side of the curves. In
the case of determination of PSDs by laser diffraction and sieving, r values determined from the
corrected particle size distributions were found to be 1.29 and 1.25 for ball and rod milled products,
respectively. The results indicates that there is not significant differences between the shape factors
of ball and rod milled products of quartz mineral, i.e. both of them have irregular particles, which
deviates from the spherical shape as proved by their SEM microphotographs. On the other hand, for
the PSDs by Andreasen pipette sedimentation and sieving, the corrected sedimentation data came
closer to the sieving data. It was found that r values determined from the corrected PSDs of the same
quartz mineral ground by ball and rod mill were 1.00 and 1.12, respectively. The results show that
the rod milled products were not more regular in shape than ball milled products as evidenced by
SEM pictures and previous works. Thus, this approach can be utilized for the integration of PSDs
analyzed by different techniques for coarse and fine sizes of fine particulate coals, minerals, and
similar materials ground finely.

**Keywords**
Quartz, sedimentation size, sieve size, laser diffraction size, particle size distribution
(PSD), apparent mean shape factor.

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