Table 14 Empirical model SMDD and DPH.
Parameter | Section | Correlation | ARRE (%) |
|---|---|---|---|
SMDD | Horizontal | \(\:\frac{{d}_{32}{\rho\:}_{c\:}{Af}^{2}}{\sigma\:}=0.592{\left(\frac{Af{\mu\:}_{c}}{\sigma\:}\right)}^{0.211}{\left(\frac{Af{\mu\:}_{d}}{\sigma\:}\right)}^{0.392}{\left(\frac{{u}_{c}}{Af}\right)}^{-0.044}{\left(\frac{{u}_{d}}{Af}\right)}^{0.091}{\left(\frac{{\rho\:}_{d}}{{\rho\:}_{c}}\right)}^{0.01}\) | 6.95 |
Vertical | \(\:\frac{{d}_{32}{\rho\:}_{c\:}{Af}^{2}}{\sigma\:}=1.978{\left(\frac{Af{\mu\:}_{c}}{\sigma\:}\right)}^{0.323}{\left(\frac{Af{\mu\:}_{d}}{\sigma\:}\right)}^{0.317}{\left(\frac{{u}_{c}}{Af}\right)}^{0.047}{\left(\frac{{u}_{d}}{Af}\right)}^{0.156}{\left(\frac{{\rho\:}_{d}}{{\rho\:}_{c}}\right)}^{-0.004}\) | 8.29 | |
DPH | Horizontal | \(\:{\upphi\:}=0.357\:{{\left(\frac{{\mu\:}_{c}}{{\mu\:}_{d}}\right)}^{0.305}\left(\frac{{u}_{c}}{Af}\right)}^{0.065}{\left(\frac{{u}_{d}}{Af}\right)}^{0.599}{\left(\frac{{\rho\:}_{d}}{{\rho\:}_{c}}\right)}^{0.919}{\left(\frac{{Af\mu\:}_{c}}{\sigma\:}\right)}^{-0.251}\) | 6.56 |
Vertical | \(\:{\upphi\:}=5.580\:{{\left(\frac{{\mu\:}_{c}}{{\mu\:}_{d}}\right)}^{-0.168}\left(\frac{{u}_{c}}{Af}\right)}^{0.139}{\left(\frac{{u}_{d}}{Af}\right)}^{0.906}{\left(\frac{{\rho\:}_{d}}{{\rho\:}_{c}}\right)}^{0.634}{\left(\frac{{Af\mu\:}_{c}}{\sigma\:}\right)}^{0.269}\) | 8.68 |
