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Capillary Number - Christopher Sparages: Difference between revisions
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The capillary number (Ca) is a dimensionless number and it represents the relation between viscous forces and capillary forces, which occur between two immiscible liquids. Over the years, the capillary number has been represented by a series of different forms across literature with one of the most common one being the formalism by Saffman and Taylor (Figure 1, No. 6). <ref name="one" /> | The capillary number (Ca) is a dimensionless number and it represents the relation between viscous forces and capillary forces, which occur between two immiscible liquids. Over the years, the capillary number has been represented by a series of different forms across literature with one of the most common one being the formalism by Saffman and Taylor (Figure 1, No. 6). <ref name="one" /> | ||
The Saffman-Taylor definition for capillary number describes the ratio of (vμ)/σ with v as the fluid velocity, μ as the fluid viscosity, and σ as surface tension between the two immiscible liquids or gas and liquid. The capillary number is used to determine which forces dominate in a specific scenario. When Ca>>1, surface forces are dominated by the viscous forces. When Ca<<1, surface forces dominate the viscous forces. making the viscous forces negligible. <ref name="one" /> | The Saffman-Taylor definition for capillary number describes the ratio of (vμ)/σ with v as the fluid velocity, μ as the fluid viscosity, and σ as surface tension between the two immiscible liquids or gas and liquid. The capillary number is used to determine which forces dominate in a specific scenario.<ref name="twelve">Squires, T. M., & Quake, S. R. (2005). Microfluidics: Fluid physics at the nanoliter scale. Reviews of Modern Physics, 77(3), 977-1026. https://dx.doi.org/10.1103/revmodphys.77.977</ref> When Ca>>1, surface forces are dominated by the viscous forces. When Ca<<1, surface forces dominate the viscous forces. making the viscous forces negligible. <ref name="one" /> | ||
==Capillary Number Theory== | ==Capillary Number Theory== | ||
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==References== | ==References== | ||
<ref name="thirteen">Zheng, B., Tice, J. D., & Ismagilov, R. F. (2004). Formation of Droplets of Alternating Composition in Microfluidic Channels and Applications to Indexing of Concentrations in Droplet-Based Assays. Analytical Chemistry, 76(17), 4977-4982. https://dx.doi.org/10.1021/ac0495743</ref> | <ref name="thirteen">Zheng, B., Tice, J. D., & Ismagilov, R. F. (2004). Formation of Droplets of Alternating Composition in Microfluidic Channels and Applications to Indexing of Concentrations in Droplet-Based Assays. Analytical Chemistry, 76(17), 4977-4982. https://dx.doi.org/10.1021/ac0495743</ref> | ||
