A two-layered fluid system in an estuarine environment has a total water depth of $10$ $\mathrm{m}$. The difference in densities between the two layers is $15$ $\text{kg m}^{-3}$ and thickness of the less dense upper layer is $3$ $\mathrm{m}$.
If complete mixing occurs in $3$ hours, then intensity (in $\mathrm{W m}^{-2}$) of mixing process is __________. (rounded off to three decimal places)
[Acceleration due to gravity is $9.81$ $\mathrm{m s}^{-2}$]
