As far as I understand it (which admittedly isn't very far), surface tension forces are made up by the tension-attractive forces of molecules at the liquid-gas/vacuum interface, such as those between hydrogen-bond-capable molecules in water.
But what happens when this liquid surface is in motion? I would assume that, given that there is no acceleration at, the surface tension doesn't really change much since they would be in some sort of "stasis", and the movement would only be that of all the molecules acting in concert. But say, if the molecules were not moving uniformly (but in a single direction), say the molecules in one part of the liquid body accelerates away from the other part, in some "pulling" motion.
What happens to the surface tension here?