Expressed Chemically, glycerol forms hydrates to decrease the energy of the three hydroxyl groups. Thus, it has high affinity for water and interestingly do not absorb other impurities in the air. In fact, when glycerol is exposed to air, it could absorb water to extent of being larger than the original volume. Hence, this property of concentrated glycerol, results in water lose in all living microorganisms and eventual inactivity.
Glycerol will absorb moisture from air which could be more than double it own weight. This will form a diluted solution with slightly different properties.
That would depend on how the equilibrium vapour pressure of water above the glycerol―water solution compares with the partial vapour pressure of water in the contacting atmosphere (air), and hence on its relative humidity. The difference on both vapour pressures provides the 'driving force' for the water mass transfer; either from the solution to the contacting air, or from the humid air to the solution.
For fast evaporation, e.g. when a open container with large surface/height ratio filled with a viscous solution is exposed to a stream of hot air; the temperature of the solution near the surface, which determines the equilibrium vapour pressure above the solution, should tend to approach the wet bulb temperature of the contacting atmosphere, somewhat lower than its dry bulb temperature of the air stream.
In a close container, not fully filled neither thermally isolated, the process can often be considered as nearly isothermal, except if the container is heated or cooled.