In our derivation, we explore the case of non-stationary helical flow of the Navier–Stokes equations for incompressible fluids at any given initial conditions for velocity fields (it means an open choice for the space part of a solution).
Such a non-stationary helical flow is proved to be decreasing exponentially in regard to the time-parameter, the extent of time-dependent exponential component is given by the coefficient of kinematic viscosity, multiplied by the square of the coefficient of proportionality between the vorticity and velocity field.