Ultrasonic Crystallization Solutions: Mathematical Modeling and Engineering Implementation

ולרי כץ גדליה מזור
הנדסת מכונות, המכללה האקדמית להנדסה ע"ש סמי שמעון

Abstract The scope of application of Magnetostrictive Transducers (MT) was considered. The attention is focused on their application for ultrasonic crystallization solutions (UCS) (specifically, in a copper sulfate solution, ). A mathematical model of the USC process was developed jointly using differential transport equations of momentum, mass, energy, sound waves and a method of similarity and dimensional analysis. We calculated the most important process parameters, such as: the concentration and the equivalent diameter of the formed crystals, the intensity of the specific energy source and the dependent interactions of the crystals with the hydro mechanical, thermal and acoustic fields. In a single dependence we present a bind of geometrical, hydro mechanical, heat-mass transfer parameters and sound waves parameters. Our study concluded that equivalent sizes of formed crystals are directly proportional to the intensity of the sound waves and depend on diffusion, thermal and hydro mechanical criteria and geometric simplexes. This leads to further problems: the development of forms of diaphragms (MT), their number and their location on the crystallizer for sound waves intensification; identification of equivalent (conditional) crystals sizes with their real geometrical shapes and sizes (based on the application of the Theory of Fractals); suggesting the need to perform additional experimental studies with the development of physical models of ultrasonic crystallization solutions.









Powered by Eventact EMS