ON REFINING THE NAVIER-STOKES EQUATION IN RELATION TO NANOPARTICLES

Abstract

Aim. The main purpose of the work is to refine the Navier-Stokes equation for nanoparticles. Methodology. The calculation technique is based on the use of classical Boltzmann kinetic equation. Results. The found equation is a refined Navier-Stokes equation, on the right side of which the components of the higher degrees along the length of the free run of particles are taken into account. Research implications. In all cases where it is necessary to study the hydrodynamic movement of nanoparticles in the flow of a viscous liquid, the resulting equation allows one to calculate all the necessary amendments to any hydrodynamic parameters and, in particular, to the Stokes strength.

Keywords

• Boltzmann kinetic equation
• Navier-Stokes equation
• free length of molecules