Particle Properties

In this section we provide images of the empirical cumulative distribution function (eCDF) for the measured particle properties. Links to the raw data and octave scripts used to generate each image are provided with simple statistics for each eCDF. Properties include diameter (\(d_p\)), restitution coefficient (\(e_{pp}\)), friction coefficient (\(\mu_{pp}\)), and sphericity (\(\Psi\)), for the common glass beads and HDPE intruders.

Particle Diameter

common

median = 3122.9060
mean = 3101.3435
stdev = 187.1664
95 CI = 51.5894
raw data
plot script (octave)

large intruder

particle diameter E C D F of the large H D P E intruders

median = 9467.0242
mean = 9430.4494
stdev = 118.4190
95 CI = 40.6783
raw data
plot script (octave)

small intruder

particle diameter E C D F of the small H D P E intruders

median = 3150.9098
mean = 3154.8691
stdev = 31.9635
95 CI = 9.8369
raw data
plot script (octave)

Density

glass

median = 2508.0000
mean = 2522.3478
stdev = 125.5905
95 CI = 54.3094
raw data
plot script (octave)

HDPE

\(\rho_p = 941\) (kg/m³)

Note: The HDPE particles were purchased from McMaster-Carr in 2017 which, at the time, listed the density for these HDPE beads as 941 (kg/m³). This falls at the lower end of the HDPE density range suggested suggested by Khanam and AlMaadeed (2015) of 941 - 965 (kg/m³), see Table 1.