  Through the Ginzburg-Landau and the Navier-Stokes equations, we study
turbulence phenomena for viscous incompressible and compressible fluids by a
second order phase transition. For this model, the velocity is defined by the
sum of classical and whirling components. Moreover, the laminar-turbulent
transition is controlled by rotational effects of the fluid. Hence, the
thermodynamic compatibility of the differential system is proved. The same
model is used to understand the origins of tornadoes and their behavior and the
birth of the vortices resulting from the fall of water in a vertical tube.
Finally, we demonstrate how the weak Coriolis force is able to change the
rotation direction of the vortices by modifying the minima of the
Ginzburg-Landau equation. Hence, we conclude the paper with the differential
system describing the water vorticity and its thermodynamic compatibility.
