Integration of Navier-Stokes equations

The author considers the integration of the motion equations of a Newtonian fluid (Navier-Stokes equations) in vector form, taking into consideration a separation of vector Navier-Stokes equation on the two equations containing separately linear and quadratic terms. On this basis, the paper demonstrates the possibility of integration of separated motion equations of an incompressible viscous fluid, which is determined in a greater extent by the characteristics of flow: boundary conditions, axisymmetric, nonaxisymmetric flow and others.

viscous incompressible Newtonian fluid, steady flow, differential equations, exact solution of Navier-Stokes equations, axially symmetric flow, torsion of streamlines