In 1973, Grace developed a well-known graphical correlation for individual gas bubble rising in infinite liquid using three dimensionless numbers, including the Reynolds number (Re), the Eotvos number
(Eo), and the Morton number (Mo):
First, Figure 5 presents the eccentricity data of Figure 4 as a function of Eotvos number (Eo).
Since Marangoni numbers can have values between 0 and infinity, a scaled correction factor [beta] to the Eotvos number can be applied identical to the correction parameter S of Rodrigue et al.
In Figure 6, it is clear that all the data of Figure 5 collapsed into a single curve by plotting drop eccentricity as a function of a modified Eotvos number (Eo) defined as:
In our case, a shape transition from spherical to oblate spheroid was observed at an Eotvos number around unity.