Turbulent round jet
= Turbulent round jet
A circular <turbulent round jet> supplied with kinematic <momentum flux> $m_0$ but negligible <buoyancy flux> conserves $m=m_0$. A <top-hat plume model> and constant <Batchelor entrainment> give $dq/ds=2\alpha\sqrt{\pi m_0}$. From a point source with zero <volume flux>, $q=2\alpha\sqrt{\pi m_0}s$, radius $b=2\alpha s$, and axial <velocity> $V=m_0/q\propto s^{-1}$.