Calculation of the Amount of Grain Moving Inside the Grinding
Chamber
Farmon Mamatov
1a
, Fakhridin Karshiev
2b
, Bogdagul Karshieva
2c
, Abdisalim Kenjabayev
2d
,
Yigitali Shamayev
2e
and Alim Axmedov
2f
1
Karshi Engineering-Economics Institute, 225, Mustakillik str., 180100, Karshi, Uzbekistan
2
Termez State University, 43, Barkamol avlod str., 190111, Termez, Uzbekistan
Keywords: Grain Grinding Process, Hammer Mill, Air-Particle Dynamics.
Abstract: In the world, resource-saving technologies for grinding grain feed and preparing full-value feed from it and
technical means for their implementation are being produced. In particular, special attention is paid to high-
quality grinding, energy and resource-saving devices by bringing grain feedstuffs such as wheat, barley, corn
grain and soot to the same granulometric composition. From this point of view, in this research work, it is
important to process cereal feed by mechanical grinding method, to develop devices that implement it, to
justify their technological work process and parameters of working parts. The purpose of the research is to
develop devices that grind grain feed at the level of the specified requirements at low costs and justify their
parameters. Based on this, the amount of grain moving in the "air-particle ring" in the grinding chamber was
calculated, and the amount of grain particles moving in the "air-particle ring" was calculated to be msl=0.025
kg. When the hammer of the hammer mill is working, the amount of fractions up to 1 mm in the crushed
grains is 3%, the amount of fractions up to 1-2 mm is 87.6%, and the amount of fractions larger than 2 mm is
9.4%. .
1 INTRODUCTION
Currently, the state attaches great importance to the
development of livestock breeding in our republic. In
the strategy of agricultural development of the
Republic of Uzbekistan for 2020-2030, the
establishment of family livestock and poultry farms
and strengthening of their feed base is defined as one
of the main tasks (Astanakulov et al., 2021a;
Astanakulov et al., 2021b; Kovalev et al., 2023a;
Kovalev et al., 2023b; Kovalev et al., 2024). It is
known that with the establishment of livestock and
poultry farms, the demand for concentrated feed
increases (Astanakulov et al., 2022; Astanakulov et
al., 2023; Kovalev et al., 2023a; Kovalev et al.,
2023b; Ikonnikova et al., 2023; Yablokova et al.,
a
https://orcid.org/0000-0002-8916-4225
b
https://orcid.org/0009-0003-3067-7418
c
https://orcid.org/0009-0003-3067-7418
d
https://orcid.org/0000-0000-2038-0028
e
https://orcid.org/0000-0001-7172-1866
f
https://orcid.org/0009-0001-5927-1329
2024). Because one of the main ways to increase the
productivity of livestock is to feed them with soft
fodder, that is, fodder obtained by processing
nutritious grains (Sattarov et al., 2023; Borotov et al.,
2023a; Borotov et al., 2023b).
The 2022-2026 program for the development of
the livestock industry and its industries in the
Republic of Uzbekistan is a priority goal of the rapid
development of the livestock industry and its
industries, the stable supply of food products to the
population of the republic, and the expansion of
production opportunities. and focusing on setting
tasks (Shomirzaev et al., 2022; Маmatov et al., 2022).
Today, there are a total of 18,032 livestock farms in
our republic, of which 7,614 cattle farms, 3,263 sheep
and goat farms, 142 sheep farms, 52 camel farms,
Mamatov, F., Karshiev, F., Karshieva, B., Kenjabayev, A., Shamayev, Y. and Axmedov, A.
Calculation of the Amount of Grain Moving Inside the Grinding Chamber.
DOI: 10.5220/0014042700004738
Paper published under CC license (CC BY-NC-ND 4.0)
In Proceedings of the 4th International Conference on Research of Agricultural and Food Technologies (I-CRAFT 2024), pages 27-30
ISBN: 978-989-758-773-3; ISSN: 3051-7710
Proceedings Copyright © 2025 by SCITEPRESS Science and Technology Publications, Lda.
27
1,163 poultry farms, 4,829 fish farms, 715 1 was
established in the field of beekeeping and 254 in the
direction of rabbit breeding.
Ensuring food safety at the expense of increasing
the production of livestock products, wide
introduction of modern methods of production,
thereby creating an added value chain, development
of the livestock industry and its branches, as well as
modern information and communication technologies
in this field and organization of effective use of
scientific achievements, rapid development of the
livestock industry, providing the population with
cheap and high-quality meat and other food products,
preparation of high-quality feed is an integral part of
efficient livestock farming.
2 MATERIALS AND METHODS
According to the research methodology for the
theoretical study of the technological process of the
hammer grain crusher, the interaction between the
hammer and the grain inside the grinding chamber
should be modeled. The results of theoretical studies
and one-factor experiments to determine the factors
affecting the working process of a hammer grain
crusher device, which performs grinding, showed that
the number of revolutions of the hammer with a lever,
the working surface of the hammer, as the size of the
grinding chamber is affected by the diameter of the
sieve mesh and the gap between the sieve and the
hammer.
Based on the above analysis, the combined effect
of the recorded parameters and operating modes of
the grain grinder on the grain grinding process and,
on this basis, determining their optimal values was
carried out using the methods of mathematical
planning of multifactorial experiments.
3 RESULTS AND DISCUSSION
The amount of grain moving in the "air-particle ring"
in the crushing chamber can be determined as
follows, according to the expression recommended by
S.V. Melnikov, the speed of hammers that ensures
crushing in one stroke (Fig. 1).
Figure 1: Grain grinding process.
./)/ln(
1
ρσ
xakv
chdud
=
(1)
here
a – grain length, m;
x
1
length of the undeformed part of the grain after
impact, m;
– grain density, kg/m
3
;
k
d
dynamic grinding coefficient of the grain,
k
d
=1,6-2,0
σ
ch
– grain strength limit, N/m
2
.
We can reduce the above expression to the
following form
=
chd
ud
k
v
x
a
σ
ρ
2
1
exp
(2)
Based on the specified impact speed, we express
the following relation
=
chd
ud
k
v
σ
ρ
λ
2
1
exp
(3)
In this case, the deformation of the grain under the
influence of the free impact of the mallet
=
1
1
1
1
λ
axa
(4)
Based on this, the number of blows that should be
given to ensure complete grinding of the grain is as
follows.
1
1
1
1
=
=
λ
λ
xa
a
z
ud
(5)
According to the calculation according to this
expression, the grain receives 3 blows in sections II
ρ
I-CRAFT 2024 - 4th International Conference on Research of Agricultural and Food Technologies
28
and III in the first half revolution of the hammer after
entering the grinder.
Ungrinded grain particles move in additional
circulation along the "air-particle ring" inside the
grinding chamber. In this case, the grain particles
receive 2 blows from the hammers of the grinder for
each additional rotation. If the grain needs to receive
9 shocks for complete grinding, then the grain
particles need to rotate 3 more times along the "air-
particle ring".
In turn, the grain particles rotate in the following
amount while they are inside the grinding chamber
2
2
=
ud
dz
z
n
(6)
In that case, the amount of grain particles moving
in the "air-particle ring" is equal to the following
sl
ud
sl
zq
m
ω
π
)2(
=
(7)
here ω
sl
angular velocity of the "air-particle"
layer, m/s;
the speed at which grains are transferred
to the grinding chamber, kg/s.
4 CONCLUSIONS
The optimal values of the parameters of the working
parts and operating modes of the food grain grinding
device are as follows.
1. For barley grains σch=7MPa; ρ=1300kg/m
3
, the
speed of the hammer to crush them u=40,2 m/s; its
radius of gyration r=0,215 m; the radius of the
grinding chamber and kd =1,8; q=0,03 kg/s if there is,
then the speed that ensures crushing of grains in one
stroke of the mallet vud=20,1m/s, angular velocity of
the "air-particle" layer ωsl=83,75rad/s, the number of
blows that ensure complete grinding of the grain
zud=25 and the amount of grain particles moving in
the "air-particle ring" should be equal msl=0,025kg.
2. During the hammer rotation of the hammer
mill, the amount of fractions up to 1 mm in the
crushed grains is 3%, the amount of fractions up to 1-
2 mm is 87.6%, and the amount of fractions larger
than 2 mm is 9%. 4%, and the grinding model was
1.34.
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