Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase

Laurenzi et al. (2009) assumed the droplets behaved as rigid non-interacting spheres with a fixed size rising in a stagnant liquid. The classical drag correlation was adopted in their simulation as (Clift et al., 1978)

$\begin{array}{llll}{C}_{\text{D}}\hfill & =\hfill & \frac{24(1+0.15R{e}_{\text{d}}^{0.678})}{R{e}_{\text{d}}},\hfill & R{e}_{\text{d}}\<1000\hfill \\ C_{\text{D}}\hfill & =\hfill & 0.44,\hfill & R{e}_{\text{d}}\ge 1000\hfill \end{array}$

(3.91)

A drag correlation with the deformation of droplets taken into account is as follows (Ishii and Zuber, 1979):

$C_{\text{D}}=\frac{24}{R{e}_{\text{d}}}(1+0.1R{e}_{\text{d}}^{0.75})$

(3.92)