ABOUT THE DYNAMICS OF HETEROGENEOUS FINE-GRAINED MIXTURE ON A FLAT VIBROSIEVE
Keywords:
flat inclined vibrosieve, settled grain stream, heterogeneous mixture, variable porosity, variable coefficient of vibroviscidity, rate of movement, productivity of vibrosieveAbstract
With the use of two-parameter rheological dependence, the reserved formulas shown out for the calculation
of speed of grain stream and productivity of vibrosieve on tails faction. As well as in other continual models, tangent
tension in mixture, with its shear motion is accepted proportional to the velocity shear strain at its motion of change,
but additionally also taken into account the residual friction. It is set proportional internal overpressure in the
mixture. Heterogeneity of fine-grained mixture on the thickness of mobile layer characterizes variables by porosity
(or by specific mass) and dynamic coefficient of vibroviscidity. Distributing of concentration of grains, whether to
porosity, on the thickness of separated layer it is accepted dependency upon the type of speed of grain stream, so
that, where a most rate of movement is, most porosity answers a transversal co-ordinate, and to the least – the least.
For the variant of linear change of coefficient of vibroviscidity pseudo rarefied grain mixture on the height of its
layer worked out a differential equation of the second order after variable coefficients in relation to the rate of
movement. In the reserved form, it is built analytical decision, which satisfies the given boundary conditions. In a
result, speed of grain stream and productivity of vibrosieve after stair faction is expressed through the modified
Bessel functions. Therefore, for the leadthrough of engineering calculations, it is possible to use these special
function tables. It is shown that from the removed formulas, as a result of limit transition as separate cases, come up
the known dependences received earlier for calculation of the movement of grain mixture with linearly variable
coefficient of vibroviscidity. Carrying out calculations constructed profiles of speed of a grain stream. They little
differ from rectilinear for the chosen option of change of coefficient of vibroviscidity. On numerical examples,
influence of values of rheological constants on distribution of porosity and on kinematic characteristics of a grain
stream is analyzed. It is shown that settlement results significantly depend on values of constants of model.
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