Time Winds

Time winds were the winds of time within the Time Vortex and intercept points such as the Gateway. They could have a detrimental effect to computers such as K-9 Mark II and even beings such as the Time Lords, depending on circumstances.

Certain time sensitive species, such as the Tharils, could walk or ride the time winds to access other times and places. The Tharils used this ability to build an empire. Humans (being a non-time sensitive species) cannot utilise this ability. (DW: Warriors' Gate)

Lady Peinforte made reference to riding the "winds of time" while travelling from 1638 to 1988 by means of a time storm. (DW: Silver Nemesis)

If exposed to the time winds within the Time Vortex, things can be ripped apart, or eaten away, slowly. (BFA: The Time of the Daleks, DWM: Funhouse)

Iris Wildthyme's TARDIS would let in time winds everytime it entered the Time Vortex. (PDA: Verdigris) Iris Wildthyme worried about taking off with the doors to her TARDIS slightly ajar. (BFIW: The Claws of Santa)

Behind the scenes

 * A deleted scene from Daleks in Manhattan shows the Doctor saying "wherever the Time Winds takes us". This implies the time winds working in a similar way to the to wind on a sailing vessel.