The Formation of Emulsions in Definable Fields of Flow

The Formation of Emulsions in Definable Fields of Flow

1934 | G. I. TAYLOR, F.R.S., Royal Society Yarrow Professor
The formation of emulsions in definable fields of flow is discussed by G. I. Taylor. The study focuses on the mechanics of stirring processes used to create emulsions of two immiscible fluids. It examines the conditions under which a jet of one fluid breaks into drops when projected into another fluid. While previous studies have focused on the effects of surface tension and dynamic forces on the breakup of cylindrical threads, the formation of these threads has not been thoroughly explored. Taylor describes two types of flow fields that can be produced in a fluid and represented by simple mathematical equations. The first is a rectangular hyperbolic flow field, and the second is a shear flow field. These fields are used to study the deformation and bursting of a drop of one fluid in another under controlled conditions, measuring interfacial tension, viscosities, and the rate of deformation of the outer fluid. The study uses two apparatuses: the "Four Roller" and the "Parallel Band" apparatus. The "Four Roller" apparatus produces a rectangular hyperbolic flow field, while the "Parallel Band" apparatus produces a shear flow field. Experiments were conducted to observe the deformation and bursting of drops in these flow fields, with results showing that the deformation of the drop depends on the instantaneous conditions of the flow. The analysis of the deformation of the drop shows that the shape of the drop is determined by the ratio of the lengths and breadths of the drop, which is related to the non-dimensional quantity F. The results indicate that the drop remains coherent for a range of values of F, but eventually bursts when F reaches a critical value. The critical value of F depends on the ratio of the viscosities of the two fluids and the type of flow field. The study also shows that the ease with which a drop can be burst increases as the viscosity of the drop increases from small values to be equal to that of the surrounding medium. However, when the viscosity of the drop is much greater than that of the surrounding medium, the viscous drag of the surrounding fluid is incapable of bursting the drop, even at high speeds. The drop merely rotates, remaining nearly spherical. The results of the experiments are in agreement with theoretical predictions, showing that the deformation of the drop depends only on the instantaneous conditions of the flow. The study concludes that the formation of emulsions in definable fields of flow is influenced by the viscosities of the two fluids and the type of flow field. The results provide a deeper understanding of the mechanics of stirring processes used in making emulsions.The formation of emulsions in definable fields of flow is discussed by G. I. Taylor. The study focuses on the mechanics of stirring processes used to create emulsions of two immiscible fluids. It examines the conditions under which a jet of one fluid breaks into drops when projected into another fluid. While previous studies have focused on the effects of surface tension and dynamic forces on the breakup of cylindrical threads, the formation of these threads has not been thoroughly explored. Taylor describes two types of flow fields that can be produced in a fluid and represented by simple mathematical equations. The first is a rectangular hyperbolic flow field, and the second is a shear flow field. These fields are used to study the deformation and bursting of a drop of one fluid in another under controlled conditions, measuring interfacial tension, viscosities, and the rate of deformation of the outer fluid. The study uses two apparatuses: the "Four Roller" and the "Parallel Band" apparatus. The "Four Roller" apparatus produces a rectangular hyperbolic flow field, while the "Parallel Band" apparatus produces a shear flow field. Experiments were conducted to observe the deformation and bursting of drops in these flow fields, with results showing that the deformation of the drop depends on the instantaneous conditions of the flow. The analysis of the deformation of the drop shows that the shape of the drop is determined by the ratio of the lengths and breadths of the drop, which is related to the non-dimensional quantity F. The results indicate that the drop remains coherent for a range of values of F, but eventually bursts when F reaches a critical value. The critical value of F depends on the ratio of the viscosities of the two fluids and the type of flow field. The study also shows that the ease with which a drop can be burst increases as the viscosity of the drop increases from small values to be equal to that of the surrounding medium. However, when the viscosity of the drop is much greater than that of the surrounding medium, the viscous drag of the surrounding fluid is incapable of bursting the drop, even at high speeds. The drop merely rotates, remaining nearly spherical. The results of the experiments are in agreement with theoretical predictions, showing that the deformation of the drop depends only on the instantaneous conditions of the flow. The study concludes that the formation of emulsions in definable fields of flow is influenced by the viscosities of the two fluids and the type of flow field. The results provide a deeper understanding of the mechanics of stirring processes used in making emulsions.
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