**5.2 Not contained fluid**

As detailed in Ref. (48) we found qualitative similarities between the vortical structures computed numerically and some meteorological phenomena such as dust devils and cyclones. One of the main characteristics of dust devils is a low-pressure region in the center of the dust devil which coincides with the dust devil's warm core (33). This is also observed in our numerical vortices (see figure 5 c). Regarding temperature, in dust devils, the maximum temperature deviation from the environment temperature (i.e. the temperature furthest from the dust devil center) occurs at the lowest levels. This feature is observed in the temperature profile of our vortices.

The experimental measures provided in Ref. (33) show that there is radial inflow at the lower levels of the dust devil and radial outflow in the upper levels. It is also shown that the vertical velocity reaches highest values and then falls off rapidly as the radius is increased. These features are appreciated in the profile of *ur* and *uz* shown in figures 5 d) and e).

The trajectory of particles around the inner cylinder described in this section appears to be very similar to the trajectory of particles of air (or dust) in a dust devil, characterized by a spiral up motion (33).

Other more complex meteorological phenomena such as cyclones also present these structural characteristics. It is known that the center (eye) of a cyclone is the area of lowest atmospheric pressure in the region, which corresponds to a warm core in some kind of cyclones (e.g. tropical and mesoscale) (31; 34). This coincides with that observed in figures 5 a) and 5 b). Regarding the motion in cyclones, it is observed the inward flow next to the surface, strong upward motion in the eyewall and outflow in a layer near the top of the storm (31; 34). This characteristic is described in the combined effect of the radial and vertical velocity components observed in our vortices as pointed out above (see figures figures 5 c, d) and e)). In cyclones, a counter-clockwise motion (clockwise in the southern hemisphere) is observed around the center of the storm, stronger just above the surface in a ring around the center and sligther as we go up from the surface (31; 34). That coincides with the effect of the azimuthal velocity component observed in the vortices we have computed numerically responsible for the movement of the particles around the inner cylinder.
