**Non-dimensional numbers**

$$\mathbf{F} \qquad \text{modified Froude number } \mathbf{F} \equiv \sqrt{\overline{\left(\frac{\rho\_{\mathbf{r}}}{(\rho\_{l} - \rho\_{\mathbf{r}}) \mathbf{g} D\_{\mathbf{h}}}\right)}} \mathbf{j\_{g}} \text{ (---)}$$

