Eddy buoyancy flux ($\overline{v^{\prime }{b}^{\prime }}=-g\overline{v^{\prime }{\rho }^{\prime }}/{\rho }_0$)

The local meridional eddy buoyancy flux is the covariance of disturbance meridional velocity with disturbance buoyancy. In a Boussinesq approximation, $b^{\prime }=-g{\rho }^{\prime }/{\rho }_0$. This is a local transport density, distinct from a plume's cross-section-integrated buoyancy flux. In the transformed Eulerian mean, division by the background buoyancy frequency squared gives an eddy-induced meridional overturning streamfunction.