On the Flow Field of a Submerged Swirling Non-Self-Similar Jet of Viscous Incompressible Fluid Determined by Exact Integrals of Motion

The flow field of a submerged swirling non-self-similar jet is considered, determined by exact integrals of motion: conservation of the total momentum flow, the total angular momentum flow, the total mass flow and the hidden integral of motion. The impact of the twist parameter, flow rate, and hidden integral of motion on the flow is investigated for three physical models of motion sources: a swirling jet flowing from a tube, a jet from a fan with zero flow, and a flow from a vortex vacuum cleaner when the liquid flow rate is negative. A number of nontrivial physical features of the velocity field of a non-self-similar swirling jet due to the nonlinear interaction of motion integrals are revealed. It is shown that the physical effects found in the work can be controlled by setting different values to these integrals of motion, which makes the results of the work universal and have the potential for practical application.

submerged jet, solution of Navier-Stokes equations, non-self-similar, swirling, jet’s multipoles, conservation integrals, hidden integral of motion