Abstract

Introduction Chapter I. General ideas of mass transfer processes in critical regimes 1. Granulometric characteristics of bulk material 2. Distribution of different fractions in the process of separation 3. Fractional separation curves and their properties Chapter II. Principles of modeling processes in moving media 1. Correlation between a full-scale process and its model 2. Mathematical models construction 3. Similarity criteria determination Chapter III. System of particles of the same size class in a critical flow. 1. Dynamics of mass motion of particles in a flow 2. Definition of a statistical system 3. Estimation of the state of a statistical system 4. Principal statistical characteristics of the separation factor Chapter IV. System of particles of several size classes 1. Interaction of particles in a flow 2. Forces caused by interactions of particles of various classes 3. Two-phase flow entropy in critical flow regimes 4. Main features of entropy in critical regimes 5. Mobility factor 6. Statistical identities Chapter V. Principal statistical relationships of mass transfer in critical flow 1. Mass exchange between the zone and the apparatus 2. Determination of average values 3. Cell and apparatus, entropy 4. Separation at low concentrations 5. General regularities for the zone Chapter VI. Correlation between the apparatus and the cell. 1. Coarse particles separation 2. Fine particles separation 3. Definition of mass transfer parameters 4. Cellular model of separation 5. Physical meaning of separation factors 6. Extraction from a cell located in the zone Chapter VII. Structural model of mass transfer in critical regimes of two-phase flows. 1. Validation of the distribution coefficient 2. Physical meaning of the distribution coefficient 3. Analysis of distribution coefficient 4. Analysis of experimental dependencies from the standpoint of structural models 5. Check of the structural model adequacy 6. Correlation between the structural and cellular models of the process Chapter VIII. Correlation between statistical and empirical results 1. Approximation of universal separation curve 2. Principal separation parameters depending on the apparatus height 3. Equal extractability of various size classes Chapter IX. Entropy of composition. Optimization criterion. 1. Entropy and particles stratification 2. Evaluation of heterogeneity of powder composition 3. Binary separation 4. Multi-product separation 5. Algorithms of optimization of separation into n components 6. Mathematical model of separation into n components 7. Optimum conditions for binary separation 8. Optimum conditions for multi-product separation Chapter X. Stability and kinetic aspects of mass distribution in critical regimes 1. Entropy stability 2. Particles distribution over the channel height 3. Velocity distribution of particles of a narrow size class 4. Kinetic aspect of the material distribution Chapter XI. Critical regimes of two-phase flows in complicated systems 1. Problem setting 2. Mathematical model of a duplex cascade 3. Mathematical model of a cascade process allowing control of the effect of the material feed site on separation results 4. Cascade model with two or more material inputs into the apparatus 5. Combined cascade classifiers 6. Quality criterion for combined cascades 7. Fractal principle of the construction of schemes of combined classifiers 8. Some methods of combined schemes optimization Chapter XII. Stochastic model of critical regimes of two-phase flows 1. Principal definitions 2. Statistical description of gravitational separation in turbulent flows 3. Equations of particles motion taking into account their rotation around the center of mass in a turbulent flow 4. Description of one-dimensional stationary process of gravitation separation in a turbulent flow 5. One-dimensional model of a non-stationary process 6. Statistical equations of random process of gra

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call