A1 - Olshanskii, Vasily
A1 - Olshanskii, Alexander
A1 - Kharchenko, Sergey
A1 - Kharchenko, Farida
PB - The Lublin Branch of the Polish Academy of Sciences
N2 - The analytical method of calculation of a
withstand motion of fine-grained mixture is worked out in
the vertical cylindrical sieve of vibrocentrifuge.
Integration of differential equalization of motion is show
out the reserved formulas for the calculation of kinematics
descriptions of grain flow. The two-parameter continual
model of the state of separation mixture is used in
researches, as a heterogeneous continuous environment
with variable specific mass (by porosity) on the thickness
of movable layer of friable material. Change of specific
mass on a radial coordinate in the cylindrical layer of
mixture approximated by the function of degree, the
coefficients of that are certain by the Aitken's method.
Due to such approximation, the analytical decision of
differential equalization of the grain flow, shown out with
the use of two-parameter rheological dependence, in that
the constituent of linear viscid resistance is complemented
by the constituent of remaining internal dry friction,
proportional overpressure in mixture, is built. An
analytical decision is expressed as squaring that is not
expressed through elementary functions in closed form,
the close method of calculation of integral offers that is
why, with the use of partial sum of row of degree. The
results got close formulas result in that well comport with
the results of numerical computer integration of squaring.
Such method the continual models of grain flow on
vibrosieves, it is assumed in that friable material is fully
confined internal dry friction, are generalized known for,
as a result of vibrodilution. The examples of calculations
are considered, where influence of different factors is
investigational, in particular values of rheological
coefficients and change of porosity, on kinematics
descriptions.
It is set that calculation kinematics descriptions of
grain flow substantially depend not only on the thickness
of movable layer and rheological constants, and also from
the concentration of grains near free surface of the
mixture. Thus, worked out here a method of research of
vertical grain flow in the cylindrical sieve of
vibrocentrifuge can be an alternative to other methods in
that for the calculation of motion of grain mixture of
variable porosity conducted numerical computer
integration of nonlinear differential equalizations.
VL - vol. 16
IS - No 3
KW - vertical cylindrical vibrosieve
KW - a grain flow
KW - change of porosity
KW - approximation of degree
KW - two-parameter rheological dependence
KW - viscid and dry friction
KW - rate of movement
KW - withstands
T1 - About motion of grain mixture of variable porosity in the cylindrical sieve of vibrocentrifuge