DISTRIBUTION OF AZIMUTHAL VELOCITIES IN A LAMINAR COUNTER VORTEX FLOW
The authors analyze an analytical model of a counter vortex flow of the incompressible viscous fluid in a cylindrical channel. The model is based on the resolution of a system of Navier — Stokes equations using the Fourier — Bessel decomposition method. The authors have generated analytical distribution functions of azimuthal velocities along the length and radius of the channel in the event of interaction between adjacent concentric and inversely twisted flows. The authors have performed their analysis of the proposed solution.The authors have identified that the value of the viscosity of the medium produces a substantial influence on the length of the active zone of the flow, or on the intensity of diffusion of vortices within the counter vortex flow. Using the distribution function, the authors have identified that wherever viscosity is present within the Reynolds number, the viscosity value is inversely proportionate to the length of the active zone: the higher the viscosity, the shorter the active zone, and the lower the viscosity, the higher the active zone.