Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Mathematical Modeling, ICMM 2017
Год издания: 2017
Идентификатор DOI: 10.1063/1.5012661
Аннотация: This work is devoted to a calculation of formation time of a toroidal shape of a flat piece of ductile metal in enrichment of minerals. Gold grains occurring in nature, in most cases, originally have a form of a flat plate (the scaly form). Continuous bombardment of the surface of a piece of gold with surrounding grains of sand durПоказать полностьюing the enrichment of ores in various jigging, separation, and crusher devices results in the piece assuming a toroidal shape. When separating, the shape of the grains in the form of a torus is considered to be the most effective. Therefore, the problem of calculation of the formation time of the toroidal shape of the piece of gold is urgent. In this paper, we propose a physical model for the formation of the toroidal shape of the piece of ductile metal, in which an isotropic, homogeneous flow of particles deforming a plane body (disk) is introduced. Based on the proposed physical model, a mathematical model of evolution of the surface under deformation of a body was developed. A first-order differential equation is obtained with respect to the deformable surface, which is solved by the Runge-Kutta method. As a result of the study, the dependence of the deformed surface on the time was determined. © 2017 Author(s).
Журнал: AIP Conference Proceedings
Выпуск журнала: Vol. 1907
Номера страниц: 30039
ISSN журнала: 0094243X
Издатель: American Institute of Physics Inc.