Figure 9 . Bubble size
(Sauter mean diameter) measurement in water and different aqueous
solutions of glycerin.
It was attempted to find the functional form f () between the
scaled bubble size and scaled specific input power in Equation (14).
Hinze38 suggested a power law correlation (Equation
15) between the scaled bubble size and scaled specific input power. The
current study found a power law correlation with similar power (slopes)
to that of Hinze38 (see Equation 16). Bubble size
measurements from Mohagheghian and Elbing47 were used
for further validation of Equation (16). Note that Mohagheghian and
Elbing47 measurements were carried out in the same
test facility; however, a single point air injection method was used for
bubbling the column. Figure 10 shows that data from the present study,
Hinze,38 and Mohagheghian and
Elbing47 collapse on Equation (16) (dashed black
line). To further examine the present correlation for scaling the bubble
size, similar studies39,40 were used to check validity
of the present correlation.