Determination of the smoothing ability of the vibration mixer on the basis of the correlation analysis

Abstract

Now the increasing popularity is received by food semi-finished products from the bulk materials. With increase in volume of their production it is expedient to mix powdery materials in the mixers of continuous action. For the set working hours of the mixers of continuous action the movement of material in the device is considered to be casual stationary processes between which there is relationship of cause and effect. Key indicators for her assessment is the correlation coefficient, population mean and dispersion. Communication between entering and going out of the device signals is established by means of the equations of material balance, describing expenses of streams of bulk stochastic stationary functions X (t). Further, finding probabilistic characteristics of the entering and leaving signals, it is possible to judge "quality" of operation of the mixer or to select the required topology of streams in the hardware environment by comparison of the relations of their dispersions or mean square deviations. In this work the scheme of the movement of material streams in the mixer developed by us realizing a method of "consecutive dilution" is considered. By means of the system of the equations of the material balance displaying process of the movement of material in the mixers of continuous action of vibration type influence of recirculation on the smoothing properties of the device is considered. Values of size of the smoothing ability of S from recirculation coefficient ? and quantities of rounds of n are given. It is revealed that increase in the smoothing ability leads to increase of quantity of rounds, and respectively and dimensions of the mixers of continuous action of vibration type, therefore, it is expedient to use the mixer with quantity of rounds equal 6 and coefficient of recirculation equal 0.7 as at the same time the smoothing ability equal is enough 1753 for receiving qualitative ready mix at a ratio of components 1:50. By means of the correlation analysis it is possible to predict uniformity of a material stream at the device exit at the known values of the time spent in him of material, coefficients of recirculation and dispersion of an entrance signal.