Name
Kashirin Dmitry Evgenievich
Scholastic degree
•
Academic rank
associated professor
Honorary rank
—
Organization, job position
Ryazan State Agrotechnological University named after P.A. Kostychev
Web site url
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Articles count: 2
The mathematical model presented in this article allows you to choose rational values and ranges of design and technological parameters of body separation, as well as their further optimization
In the current economic situation, the
developing of cattle breeding is taking on
special significance. It is well known that the
effective way to develop cattle breeding is to
increase the total number of efficient livestock.
The numerous researches show that the high
concentrated fodder premix diet gives the
highest effect in increasing animal indicators [1,
2, 3]. Traditionally, the premix is a powder
mass, which should be added into the mixture
of grain components. Exact following the recipe
of prepared fodder allows the maximum usage
of forage potential of the concentrate
components [4, 5, 6, 7]. In view of the
foregoing, food enrichers have special actuality
in making high concentrated fodder [8, 9, 10].
The usage of differential Fokker – Planck
equation systems allows determining the laws
of the mixing process of various granulated
products. As a result, it becomes possible to
optimize the technological process of the mixerenrichers
of concentrated feed so that the
resulting mixture of feed would have high
quality and technological characteristics. At the
same time the duration of sewer-enricher’s
work and, as a consequence, the energy
intensity of the technological process would
accept the minimum possible values [11-16].
The given theoretical approach is based on the
consideration of the motion of an individual
particle contained in a loose grain mass (phase).
Concerning this, it is necessary to accept a
number of assumptions about making effort to
the feed particles, and the velocity vectors of its
initial motion should be taken into account.
Taking into account the complexity of the
mathematically derived differential equation, its
literal analytical solution seems very difficult.
Therefore, the first step of the solution is aimed at the obtaining the non-stationary diffusion
equation of Fokker - Planck and the boundary
conditions for isolating the only one solution.
The second step of the solution is implemented
by the tabulation at the grid-based points, that
is, considering the differential equation not at a
random point of the area, but only at the grid
nodes. Moreover, it is necessary to apply the
approximation of the derivatives at each node.
The solution of the equation system allows
determining the module of the minimum,
average, and maximum values of the phase
particle motion in different parts of the mixing
chamber, respectively. In connection with this,
the aim of the study is to substantiate the
processes of motion of various types of
granulated products