In this paper is shown that the quantity V=∫|w(x,t)|^2dx in ℝn, n = 2 or 3, called here the vortegy, is a globally controlled scalar measure of the fluid vorticity degree. In the incompressible fluid, the physical properties of the vortegy are like the properties of energy E=1/2∫|u(x,t)|^2dx. In the inviscid fluid, the law of vortegy conservation operates, in the viscous fluid, vortegy is subject to dissipation, the law of vortegy dissipation is established. However, in contrast to the supercritical energy E (for n=3), the vortegy V is subcritical. It is also shown that when vortegy dissipation is considered, the system of generalized Helmholtz equations expresses the law of its conservation. The supercriticality paradox of the 3D Navier-Stokes equations is resolved, the impossibility of a blowup scenario for their solutions and the inevitability of such a scenario for 3D solutions of the Euler equations are shown.