Grashof number, object to gas

Symbol
$\mathrm{Gr}_{og}$
Formulae
$\frac{g \beta_{gas} {L_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{di}\right)$Riser closed at both ends (Hartlein & Black)
$\frac{g \beta_{gas} {L_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{di}\right)$Riser open at both ends, 133 ≤ $Ra$ ≤ 7000 (Hartlein & Black IIa)
$\frac{g \beta_{gas} {L_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{air}\right)$Riser open at both ends, $Ra$ > 7000 (Hartlein & Black IIb)
$\frac{g \beta_{gas} {L_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\frac{\theta_e+\theta_{di}+\theta_{air}}{3}\right)$Riser open at top and closed at bottom (Hartlein & Black)
$\frac{g \beta_{gas} {\delta_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{di}\right)$Riser closed at both ends (Anders)
$\frac{g \beta_{gas} {\delta_d}^4}{L_d {\nu_{gas}}^2} \left(\theta_e-\theta_{air}\right)$Riser open at both ends (Anders/Hartlein & Black)
$\frac{g \beta_{gas} {L_d}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{gas}\right)$Riser open at top and closed at bottom (Anders)
Used in