TY - JOUR ID - TI - MATHEMATICAL MODEL FOR MEASURING THE CONCENTRATION OF NANOPARTICLES IN A LIQUID DURING SEDIMENTATION AU - Safaa Mohammed Ridha Hussien Hussien University of Karbala, Karbala, Iraq, safaa_m333@yahoo.com Airat Sakhabutdinov Kazan National Research Technical University n.a. A.N. Tupolev-KAI, Kazan, Russian Federation, kazanboy@yandex.ru Vladimir Anfinogentov Ka PY - 2021 VL - 7 IS - 2 SP - 160 EP - 167 JO - Karbala International Journal of Modern Science مجلة كربلاء العالمية للعلوم الحديثة SN - 2405609X 24056103 AB - Expanding the application areas of polymer composite materials with dispersed filler requires thedevelopment of technologies providing the required mechanical characteristics. One of these methods isbased on forming a thin polymer shell on the surfaces of particles. At the same time, it is impossible totake into account the mechanical characteristics of a thin polymer shell due to its ultra-small thickness.The mechanical properties of the polymer shell can be determined only by indirect methods, and priorinformation can improve the adequacy of the properties determination. The method, which allowsreducing the requirements for composite sample preparation, is proposed. This method is based on thesedimentation approach. It is suggested to evaluate the sedimentation time (or velocity) by measuringthe optical density of the solution, consisting of nanoparticles and polymer macromolecules. Thenanoparticle and polymer macromolecules parameters are defined using sedimentation time. Themathematical model for simulation of the photo sedimentation velocity of particles in a solvent isdeveloped. The model considers the sedimentation process under the influence of gravity, hydrostatic lift,and drag forces. The model takes into account also the influence of the Brownian motion of the solventon the particle movements based on elastic collision as well as the effect of the inelastic collision ofparticles with each other. The particle concentration is estimated based on beam light scatteringmodeling. The results of the mathematical model investigation and the experimental results confirm thefeasibility of the proposed method. The results and estimations allow both to determine thesedimentation time and to formulate the method requirements for measuring particles of various sizesand densities. The proposed approach can be used to create equipment for nanoparticle parameters(mass, density) measuring.

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