Nomenclature

\(b\) impeller blade length [m]
Bub. bubble
\(C\) reactor bottom clearance [m]
CFD computational fluid dynamics
Comp. Compartment
\(d\) bubble diameter [mm]
\(D\) impeller diameter [m]
Fl Flow number \(\text{Fl}=\frac{Q}{N*D^{3}}\ \) [-]
Fr Froude number \(\text{Fr}=\frac{N^{2}*D}{g}\) [-]
\(H_{t}\) total aerated liquid height [m]
\(H_{l}\) unaerated liquid height [m]
Imp. Impeller
L spacing between impellers [m]
LBN Lattice Boltzman method
LC large cavity regime
\(M\) torque [Nm]
\(N\) impeller frequency [s-1]
\(P\) power input [W]
\(P_{g}\) specific power dissipated by impeller under gassed condition [W]
\(P_{0}\) specific power dissipated by impeller under ungassed condition [W]
RC ragged cavities regime
\(S\) sparger height [m]
\(T\) tank diameter [m]
\(u_{g}\) gas superficial velocity [m s-1]
\(Q\) aeration rate [m3 h-1]
\(v\) bubble velocity [m s-1]
\(V\) volume [m3]
VC vortex cavities regime
\(w\) impeller blade height [m]