Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Potekaev A.I.   Bubenchicov M.A.  

Nanoparticles' sedimentation in a field of centrifugal forces

Reporter: Bubenchicov M.A.

At present actively conducted research to determine the physical parameters of nanoparticles. Among them, a lot of attention paid to the question of finding the drag force acting on large molecules (and in some works on fullerenes, nanoparticles, which are typical of small sizes). It is often defined in terms of temperature, the stationary velocity of a particle and the diffusion coefficient. In all cases it was stated that the force of resistance was essentially different from Stokes force.
The resistance coefficient or the mobility being known, it is in principal possible to define the diffusion coefficient. However it is known that Einstein’s correlation being that underlies it, gives only valuating, correctly ordered values of the diffusion coefficient. So the question of theoretical definition for the resistance coefficients of nanoparticles remains unsettled. In the some modern works for the purpose of studying resistance of nanoparticles moving in liquid the method of direct numerical modeling of molecules’ assembly dynamics is suggested. In this paper we will attempt to calculate the nanoparticles’ resistance coefficient in terms of Newtonian classical mechanics laws.
The paper theoretically defines the coefficients of mechanical resistance for carbon nanoparticles of various forms - graphenes, nanotubes and fullerenes – and states the average velocity of such particles’ motions in a gaseous ring layer rotating with an invariable angle velocity. All constructions are performed within the scopes of the ideal gas model.

Abstracts file: Bubenchikov.docx
Full text file: Bubenchikov.doc

To reports list
© 1996-2019, Institute of computational technologies of SB RAS, Novosibirsk