najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-2-236-238najo-655Research ArticlePHYSICSФИЗИКАMathematical modeling of sedimentation of nanoparticles in the vessel of finite depthEzhenkovaS. I.

Kronverkskiy, 49, St. Petersburg, 197101

sveta.ejenkova@yandex.ruITMO UniversityRussian Federation20171208202582236238Copyright © Ezhenkova S.I., 20252025Ezhenkova S.I.Ezhenkova S.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/655

The sedimentation of nanoparticles in a liquid considering their Brownian diffusion was investigated by using mathematical modeling. The main purpose of this work is investigation of the particles’ behavior in the area adjoining to the bottom of the vessel – the boundary layer.

sedimentationdiffusionthe Newton polygonThis work was partially supported financially by grant 074-U01 of the Government of the Russian Federation, by grant MK-5161.2016.1 of the President of the Russian Federation, by grant 16-11-10330 of Russian Science Foundation.ReferencesVahedi Tafreshi H., Piseri P., Barborini E., Benedek G. and Milani P. Simulation on the effect of Brownian motion on nanoparticle trajectories in a pulsed microplasma cluster source. Journal of Nanoparticle Research, 2002, 4(6), P. 511–524.Vahedi Tafreshi H., Piseri P., Barborini E., Benedek G. and Milani P. Simulation on the effect of Brownian motion on nanoparticle trajectories in a pulsed microplasma cluster source. Journal of Nanoparticle Research, 2002, 4(6), P. 511–524.Almjasheva O.V. Formation and structural transformations of nanoparticles in the TiO2–H2O system. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(6), P. 1031–1049.Almjasheva O.V. Formation and structural transformations of nanoparticles in the TiO2–H2O system. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(6), P. 1031–1049.Gangulya S., Chakrabortyb S. Sedimentation of nanoparticles in nanoscale colloidal suspensions. Physics Letters A, 2011, 375, P. 2394– 2399.Gangulya S., Chakrabortyb S. Sedimentation of nanoparticles in nanoscale colloidal suspensions. Physics Letters A, 2011, 375, P. 2394– 2399.Demeler B., Tich-Lam Nguyen, Gorbet G.E., Schirf V., Brookes E.H., Mulvaney P., El-Ballouli A.O., Pan J., Bakr O.M., Demeler A.K., Hernandez Uribe B.I., Bhattarai N., Whetten R.L. Characterization of size, anisotropy and density heterogeneity of nanoparticles by sedimentation velocity. Analytical Chemistry, 2014, 86, P. 7688–7695.Demeler B., Tich-Lam Nguyen, Gorbet G.E., Schirf V., Brookes E.H., Mulvaney P., El-Ballouli A.O., Pan J., Bakr O.M., Demeler A.K., Hernandez Uribe B.I., Bhattarai N., Whetten R.L. Characterization of size, anisotropy and density heterogeneity of nanoparticles by sedimentation velocity. Analytical Chemistry, 2014, 86, P. 7688–7695.Eun Chul Cho, Qiang Zhang, Younan Xia. The effect of sedimentation and diffusion on cellular uptake of gold nanoparticles. Nature Nanotechnology, 2011, 6, P. 385–391.Eun Chul Cho, Qiang Zhang, Younan Xia. The effect of sedimentation and diffusion on cellular uptake of gold nanoparticles. Nature Nanotechnology, 2011, 6, P. 385–391.Ezhenkova S.I., Chivilikhin S.A. Mathematical modeling of sedimentation process of nanoparticles in gradient medium. Journal of Physics: Conference Series, 2015, 643, P. 012111.1–012111.6.Ezhenkova S.I., Chivilikhin S.A. Mathematical modeling of sedimentation process of nanoparticles in gradient medium. Journal of Physics: Conference Series, 2015, 643, P. 012111.1–012111.6.Fisenko S.P., Shnip A.I. Physics, chemistry and applications of nanoctructures. World Scientific, Singapore, 2003, 596 pp.Fisenko S.P., Shnip A.I. Physics, chemistry and applications of nanoctructures. World Scientific, Singapore, 2003, 596 pp.Nayfeh A.H. Perturbation Methods. Wiley-Interscience, USA, 1973, 425 pp.Nayfeh A.H. Perturbation Methods. Wiley-Interscience, USA, 1973, 425 pp.

The authors declare that there are no conflicts of interest present.