s mpe 1a - ovgu€¦ · 2.27 1. calculate the cumulative particle size distribution q3(d) and the...
TRANSCRIPT
1
© Dr. Werner Hintz
Exercise 1:
The particle size distribution of a particulate material should be determined by analysing a test
sieving. The masses being on the single sieves (see picture) were determined by balancing [in
g]. The initial weight was 190 g.
sieve mesh [mm] 2.5
1.0
0.63
0.4
0.25
0.1
0.063
0.04
mass fraction [g]
1.33
15.34
13.44
36.56
40.34
64.02
10.79
5.31
2.27
1. Calculate the cumulative particle size distribution Q3(d) and the particle size frequency
distribution q3(d),
2. Show Q3(d) and q3(d) in a normal diagram, q3(d) in a log - normal diagram,
3. Determine the median particle size d50 from the graphical picture of Q3(d) and the modal
particle size dh from the graphical picture of q3(d),
4. Calculate mean particle size dm,3,
5. Show Q3(d) in a logarithmical probability diagram and in a RRSB - diagram,
6. Calculate the specific surface area, related to mass, As,m and the Sauter - diameter dST,
7. Calculate the cumulative particle size distribution Q0(d) and the particle size frequency
distribution q0(d), related to quantity number, show Q0(d) and q0(d) in a normal diagram
and in a logarithmical probability diagram.
2
© Dr. Werner Hintz
Exercise sheet :
particle size
fraction
mass mass fraction cumulative
fraction
interval
width
frequency
distribution
mean
interval
diameter
i
di-1 - di mi μ3,i Q3,i Δ di q3,i dm,i dm i i, ,⋅ μ3
100μ3
100,
,
i
m id ⋅
11003
3
dm i
i
,
,⋅μ
∑= ⋅
μn
1i3
i,m
i,3
100d
Q0(d) q0(d)
[mm] [g] [%] [%] [mm] [% mm-1] [mm] [mm] [mm-1] [mm-3] [mm-3] [-] [mm-1]
1
2
3
4
5
6
7
8
9
Σ