\(Fr=\frac{U_{\text{SG}}}{\sqrt{gd_{32}}}\) (FroudeNumber) (5)
\(\text{We}=\frac{{U_{\text{SG}}}^{2}gd_{32}}{\sigma}\) (Weber Number) (6)
\(\text{Re}=\frac{\rho_{L}d_{32}U_{\text{SG}}}{\mu_{L}}\) (ReynoldsNumber) (7)
\(\frac{d_{32}}{{2r}_{p}}={6.4\left(\text{Fr}^{1.8}\text{We}^{-1.7}\text{Re}^{0.7}\right)}^{-0.132}\) \(\frac{d_{32}}{{2r}_{p}}={6.4\left(\text{Fr}^{1.8}\text{We}^{-1.7}\text{Re}^{0.7}\right)}^{-0.132}\) (8)