About the separation of finely divided particles during centrifugation in liquid media

  • A. B. Kydyrbekuly al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • A. Sh. Rahmetolla Science Research Institute of Mathematics and Mechanics, Almaty, Kazakhstan
  • G. E. Ibraev al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • А. Zh. Rakhimzhanova al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan


This work is devoted to the study of centrifugation processes, which are one of the most complexprocesses of technology. The use of the action of the centrifugal force field for the separationof heterogeneous liquid systems in a rotor system (centrifuge) is very effective. Separability ofcentrifuged materials, multiphase dispersion, the relationship between phases cause ambiguousprocesses of centrifugation, and therefore it is not always possible to accurately predict and evaluatethe main characteristics of the separation of heterogeneous systems in the centrifugal force field.For a qualitative assessment of the main separation characteristics, such as the angular velocityof rotation, the dependence of the angles of inclination of the glasses on the angular velocity, thesettling time of particles, etc., is created a mathematical model of the vertical rotor system. Therotor represents a round disk on which cups (vial) with a multiphase liquid are symmetricallysuspended. A particular case of a fixed rotor is considered. Nonlinear differential equations ofmotion of the suspension particle, which have no exact solution, are obtained. The research isconducted by analytical and numerical methods. The dependence of the slope angles of the tubesfrom the angular rotational speed of the rotor, sedimentation curves are obtained , which allowestimating the time of particle deposition and the effect of the particle size distribution on theseparation process. The results of this research work allow us to determine with sufficient accuracyall the necessary characteristics of the sedimentation working process, and also, in certain cases,it is possible to exclude the conduct of experimental work. The results of the work confirm thephysical meaning of the process, which can serve as a justification for the use and introduction ofthis mathematical model in industrial production.


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How to Cite
KYDYRBEKULY, A. B. et al. About the separation of finely divided particles during centrifugation in liquid media. Journal of Mathematics, Mechanics and Computer Science, [S.l.], v. 98, n. 2, p. 33-44, aug. 2018. ISSN 1563-0277. Available at: <http://bm.kaznu.kz/index.php/kaznu/article/view/397>. Date accessed: 19 oct. 2018. doi: https://doi.org/10.26577/jmmcs-2018-2-397.