Morton Number

Morton number, abbreviated as Mo, a dimensionless number, is the shape of bubbles or drops moving in a surrounding fluid or continuous phase.

 

Morton Number formula
\(\large{ Mo = \frac{ g \; \mu^4 \; \Delta \rho }{\rho^2 \; \sigma^3 } }\)
Symbol	English	Metric
\(\large{ Mo }\) = Morton number	\(\large{dimensionless}\)
\(\large{ g }\) = gravitational acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ \mu }\) (Greek symbol mu) = dynamic viscosity of surrounding fluid	\(\large{\frac{lbf-sec}{ft^2}}\)	\(\large{ Pa-s }\)
\(\large{ \Delta \rho }\) = density differential in the phases	\(\large{\frac{lbm}{ft^3}}\)	\(\large{\frac{kg}{m^3}}\)
\(\large{ \rho }\) (Greek symbol rho) = density of surrounding fluid	\(\large{\frac{lbm}{ft^3}}\)	\(\large{\frac{kg}{m^3}}\)
\(\large{ \sigma }\) (Greek symbol sigma) = surface tension coefficient	\(\large{\frac{lbf}{ft}}\)	\(\large{\frac{N}{m}}\)