Horizontal forced-plume trajectory
= Horizontal forced-plume trajectory
For zero source <volume flux>, constant <Batchelor entrainment>, and a horizontal source, the near-source trajectory is cubic: $z\sim\alpha\sqrt{\pi}f_0x^3/(3m_0^{3/2})$. Far from the source the centreline approaches a vertical asymptote, with its horizontal distance from that asymptote proportional to $z^{-1/3}$.