Dimensionless number Morton

From the six forces, only five independent dimensionless numbers can be formed. This could be the set of numbers discussed up to this point p /Pf, Pp/Pf, Re, We, and Eo), but other sets could be chosen as well. For example, for bubbly flows, the second independent dimensionless number next to the Edtvds number may be the Reynolds number, but is often chosen to be the Morton number ... 

Flow Past Deformable Bodies. The flow of fluids past deformable surfaces is often important, eg, contact of Hquids with gas bubbles or with drops of another Hquid. Proper description of the flow must allow for both the deformation of these bodies from their shapes in the absence of flow and for the internal circulations that may be set up within the drops or bubbles in response to the external flow. DeformabiUty is related to the interfacial tension and density difference between the phases internal circulation is related to the drop viscosity. A proper description of the flow involves not only the Reynolds number, dFp/p., but also other dimensionless groups, eg, the viscosity ratio, 1 /p En tvos number (En ), Api5 /o and the Morton number (Mo),giJ.iAp/plG (6). 

The density and viscosity of the gas can be neglected in favor of the liquid properties, and the dynamic behavior of a single bubble can be correlated with three independent, dimensionless groups commonly defined as the Reynolds number, Eotvos number, and Morton number (Grace et ai, [1]). These are given, respectively, by... 

Length of the reactor, m Length of particle, m Morton number, dimensionless Deactivation rate order Total mass flow, g /r ... 

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