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Capillary Rise in a Taylor-Hauksbee Cell with a Tilted Edge

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Selected Topics of Computational and Experimental Fluid Mechanics

Part of the book series: Environmental Science and Engineering ((ENVSCIENCE))

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Abstract

In this work we discuss a series of experiments to get the equilibrium profiles when a viscous liquid rises spontaneously in the wedge-shaped gap between two vertical plates intersecting at a tight angle \(\upalpha \ll 1\). We contrast the differences between the case with vertical edge and those where the aristae is tilted to the vertical. Our theoretical model agrees very well with the experimental data.

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References

  • Concus P, Finn R (1969) On the behavior of a capillary free surface in a wedge. Proc Natl Acad Sci USA 63:292–299

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  • Hauksbee F (1712) An experiment touching the ascent of water between two glass plates in an hyperbolick figure. Philos Trans R Soc Lond 27:539–540

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  • Higuera FJ, Medina A, Liñan A (2008) Capillary rise of a liquid between two vertical plates making a small angle. Phys Fluids 20:102102

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  • Taylor B (1712) Concerning the ascent of water between two glass plates. Philos Trans R Soc Lond 27:538

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Acknowledgments

AJ and S de S acknowledges to CONACYT for their studentships. AM acknowledges to SIP IPN for their partial support to make this work. Finally, authors acknowledge to Rodrigo Itzcoatl Pliego Suárez for his help in the digital improvement of pictures and schemes.

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Correspondence to A. Medina .

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Jara, A., de Santiago, S., Higuera, F.J., Pliego, M., Medina, A., Vargas, C.A. (2015). Capillary Rise in a Taylor-Hauksbee Cell with a Tilted Edge. In: Klapp, J., Ruíz Chavarría, G., Medina Ovando, A., López Villa, A., Sigalotti, L. (eds) Selected Topics of Computational and Experimental Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-11487-3_44

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