Drop size distribution in a graesser contactor

An investigation was conducted of drop size distribution in a Graesser contactor, employing five liquid – liquid systems, viz., kerosene/water, benzene/water, xylene/water, hexane/water and n–butyl acetate/water. A 100 mm (4 inch) diameter Graesser contactor was used for this purpose It was found that the drop size distribution in a Graesser contactor obeys the upper – limit distribution expressed as:\documentclass{article}\pagestyle{empty}\begin{document}$$ dv/dy = (\delta /\sqrt \pi )e^{( - \delta ^2 y^2 )} $$\end{document}where\documentclass{article}\pagestyle{empty}\begin{document}$$ y = \ln \left\{ {(a'd)/(d_m - d)} \right. $$\end{document}A correlation was developed relating the Sauter mean diameter ( d 32 ) to other effective groups\documentclass{article}\pagestyle{empty}\begin{document}$$ d_{32} /D_r = 1.6 \times 10^{ - 3} (X)^{0.8} (V_d /V_c )^{0.32} (\sigma /N.D_r. \mu _c )^{0.5} (n/Z)^{ - 0.23} $$\end{document}