@article{Kydyrbekuly_Rahmetolla_Ibraev_Rakhimzhanova_2018, title={About the separation of finely divided particles during centrifugation in liquid media}, volume={98}, url={https://bm.kaznu.kz/index.php/kaznu/article/view/397}, DOI={10.26577/jmmcs-2018-2-397}, abstractNote={<p>This work is devoted to the study of centrifugation processes, which are one of the most complex<br>processes of technology. The use of the action of the centrifugal force field for the separation<br>of heterogeneous liquid systems in a rotor system (centrifuge) is very effective. Separability of<br>centrifuged materials, multiphase dispersion, the relationship between phases cause ambiguous<br>processes of centrifugation, and therefore it is not always possible to accurately predict and evaluate<br>the main characteristics of the separation of heterogeneous systems in the centrifugal force field.<br>For a qualitative assessment of the main separation characteristics, such as the angular velocity<br>of rotation, the dependence of the angles of inclination of the glasses on the angular velocity, the<br>settling time of particles, etc., is created a mathematical model of the vertical rotor system. The<br>rotor represents a round disk on which cups (vial) with a multiphase liquid are symmetrically<br>suspended. A particular case of a fixed rotor is considered. Nonlinear differential equations of<br>motion of the suspension particle, which have no exact solution, are obtained. The research is<br>conducted by analytical and numerical methods. The dependence of the slope angles of the tubes<br>from the angular rotational speed of the rotor, sedimentation curves are obtained , which allow<br>estimating the time of particle deposition and the effect of the particle size distribution on the<br>separation process. The results of this research work allow us to determine with sufficient accuracy<br>all the necessary characteristics of the sedimentation working process, and also, in certain cases,<br>it is possible to exclude the conduct of experimental work. The results of the work confirm the<br>physical meaning of the process, which can serve as a justification for the use and introduction of<br>this mathematical model in industrial production.</p>}, number={2}, journal={Journal of Mathematics, Mechanics and Computer Science}, author={Kydyrbekuly, A. B. and Rahmetolla, A. Sh. and Ibraev, G. E. and Rakhimzhanova А. Zh.}, year={2018}, month={Aug.}, pages={33–44} }