A new, self‐similar, turbulent jet flow is postulated in which the global vorticity &OHgr; is a constant following any vortex. In contrast, conventional self‐similar flows all exhibit &OHgr; inversely proportional to the vortex age. In order for the new, postulated flow to exist, the nozzle exit speed must increase exponentially with time. It is shown that this circumstance may strongly inhibit the entrainment of ambient fluid into the jet.