To overcome numerous contradictions in the knowledge of the blood transportation, a hypothesis was supposed asserting the swirling pattern of blood flow in the heart and main vessels which resembles tornado-like flows and which is widespread in nature. These flows can be exhaustively described by the exact solutions of the nonstationary hydrodynamic Navier-Stokes equations and the continuity equations for the class of viscous swirling flows offered by Kiknadze - Krasnov.