Misyura T. Mathematic Modeling of Two-Phase Flow Hydrodynamics under Continuous Vibro-Extraction

The thesis is dedicated to design of mathematic models of two-phase flow hydrodynamics under continuous vibro-extraction of target components from plant raw materials. Based on a detailed analysis performed for the structure of flows determined by a specific effect of pulsing opposing beams generated by transport and filter elements of a specially designed vibro-mixer upon two-phase liquid-solid environment, a new system approach strategy and hierarchical structural scheme of hydrodynamics and kinetics of the process in mathematic modeling are presented. Mathematic descriptions of hydrodynamic structures are designed in the form of differential equations with regard to mass exchange that are separate for liquid and solid phases and common for two-phase flow. Such descriptions make it possible to simulate distribution of flow concentrations of extractive substances in cellular volumes of i=l, ...,n along the height of the device and to determine mass productivity of vibro-extractor based on extractive substances. The suggested application technique for the designed mathematic descriptions provides an opportunity to perform mathematic modeling of vibro-extraction at the design stage of continuously operated vibro-extractors and in development of measures to intensify the existing devices under production conditions.