Solving the Nonstationary Problem of the Disperse Phase Concentration during the Pneumoclassification Process of Mechanical Mixtures
Journal Title: Журнал інженерних наук - Year 2019, Vol 6, Issue 1
Abstract
The article dials with studying of the gas-dispersed systems classification process in gravitation pneumoclassifiers of prismatic shape. The aim of the research is to determine operating parameters of the investigated process. Recent research is based on the previously developed mathematical model of hydrodynamics for a gasdispersed flow in a vertical channel with variable cross-section. As a development of this study, a physical model based on the process of kinetic removal from the mixture was used. This process is caused by the removal of fine particles from the weighed layer in the case of theirs low velocities in comparison with the average gas flow velocity. This model also considers the inertial effect due to the kinetic energy of fine particles removed from the surface of the weighted later. The first order linear nonhomogeneous partial differential equation describing the unsteady process of changing the dispersed phase concentration in the gas-mechanical mixture by channel height was solved by mathematical modeling using the combination of direct and inverse Laplace transforms. As a result, for the first time the general solution was obtained for for non-trivial boundary and initial conditions. This fact allowed developing the mathematical model of the nonstationary problem for the disperse phase concentration during the pneumoclassification process of mechanical mixtures in pneumoclassifiers. The model allows determining the concentration of fine fraction of the gas-dispersed mixture by channel height in operating volume of the device, as well as evaluating time of the pneumoclassification process. Particularly, it was found that the dispersed phase concentration decreases by the height of the apparatus with respect to time. This fact proves the possibility of effective separation of components in gas-mechanical mixtures. Finally, the achieved results allow proposing the engineering technique for calculations of vertial-type gravitation pneumoclassifiers.
Authors and Affiliations
I. V. Pavlenko, M. P. Yukhymenko, A. V. Lytvynenko, J. Bocko
Keywords
Related Articles
- EP ID EP627788
- DOI 10.21272/jes.2019.6(1).f1
- Views 90
- Downloads 0
Model of the management program for a means complex of the design works automation as a finite-state automaton
For software development it is necessary to have its mathematical model. It is established that for a means complex of the design works automation a model of a finite automaton is the best choice. The automatic machine h...
Influences of Aluminium / E-Glass Volume Fraction on Flexural and Impact Behaviour of GLARE Hybrid Composites
Composites with different configuration of fiber (E-Glass) and metal (Aluminium) laminates were fabricated and tested for grasping optimum hybrid structure. GLARE (Glass laminate aluminium reinforced epoxy) is a unique c...
The hypothesis of formation of the structure of surfaced metal at the surfacing based on the application of the prognostic algorithm of control the electrode wire speed
The growth of a drop in the process of surfacing by a consumable electrode is characterized by a linear dependence of the current change on time. A hypothesis has been put forward, according to which a reduction in the f...
Research of the Energy Characteristics of Municipal Solid Waste in Cherkassy
The waste management system of Ukraine, is being reformed to bring it in line with European standards for the use of the material and energy potential of waste. Selection of the optimal system should be based on the stat...
Analysis and development of the method for calculating calibration of the working plank in the cold tube roller rolling mills
In presented paper, which has for aim the development of existing method for calculating the profile of calibrated working plank in the cold tube roller rolling mills, the analysis had been made and it was proposed to us...