Mathematical modeling of sedimentation process of nanoparticles in gradient medium

2nd International School and Conference Saint-Petersburg OPEN on Optoelectronics, Photonics, Engineering and Nanostructures

Ezhenkova, S.I.^1 ; Chivilikhin, S.A.^1

ITMO University, Dept. of Higher Mathematics, Kronverkskiy pr. 49, St.Petersburg

197101, Russia^1

关键词: Convective diffusion;    Index of refraction;    Light rays;    Particles concentration;    Sedimentation process;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/643/1/012111/pdf
DOI  :  10.1088/1742-6596/643/1/012111

来源: IOP

【 摘 要 】

Mathematical model describing the motion of a light ray in the medium with a varying index of refraction formed by particles settling in a liquid has been built. We have received size distribution of particles settling in a liquid; calculated the light ray's trajectory in the medium; investigated the dependence of the light ray's trajectory on the initial particles concentration; received the solution of the equation of convective diffusion for nanoparticles.