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The Landau–Squire plume

  • Eleonora Secchi (a1), Sophie Marbach (a1), Antoine Niguès (a1), Alessandro Siria (a1) and Lydéric Bocquet (a1)...

Abstract

In this paper, we analyse the dispersion of a dye by a Landau–Squire plume, generated by a jet flow emerging from a nanocapillary into a reservoir. We demonstrate analytically that the dye concentration profile exhibits a long-range profile decaying as the inverse of the distance to the origin, whereas the plume shape is only a function of a Péclet number defined in terms of the flow characteristics inside the nanocapillary. These predictions are successfully compared with experiments on fluorescent dye dispersion from nanocapillaries under pressure-driven flow. The plume shape allows extraction of the nanojet force characterizing the Landau–Squire velocity profile for a given pressure drop, with results in full agreement with direct velocimetry measurements and finite-element calculations. The peculiarities of the Landau–Squire plume make it a sensitive probe of the flow properties inside the seeding nanocapillary.

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Corresponding author

Email address for correspondence: lyderic.bocquet@lps.ens.fr

References

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Bocquet, L. & Tabeling, E. 2014 Physics and technological aspects of nanofluidics. Lab on a Chip 14, 31433158.
Branton, D., Deamer, D. W., Marziali, A., Bayley, H., Benner, S. A., Butler, T., Di Ventra, M., Garaj, S., Hibbs, A., Huang, X. et al. 2008 The potential and challenges of nanopore sequencing. Nat. Biotechnol. 26, 11461153.
Culbertson, C. T., Jacobson, S. C. & Ramsey, J. M. 2002 Diffusion coefficient measurements in microfluidic devices. Talanta 56 (2), 365373.
Feng, J., Graf, M., Liu, K., Ovchinnikov, D., Dumcenco, D., Heiranian, M., Nandigana, V., Aluru, N. R., Kis, A. & Radenovic, A. 2016 Single-layer MoS2 nanopores as nanopower generators. Nature 536, 197200.
Geng, J., Kim, K., Zhang, J., Escalada, A., Tunuguntla, R., Comolli, L. R., Allen, F. I., Shnyrova, A. V., Cho, K. R., Munoz, D. et al. 2014 Stochastic transport through carbon nanotubes in lipid bilayers and live cell membranes. Nature 514 (7524), 612615.
Joshi, R. K., Carbone, P., Wang, F.-C., Kravets, V. G., Su, Y., Grigorieva, I. V., Wu, H. A., Geim, A. K. & Nair, R. R. 2014 Precise and ultrafast molecular sieving through graphene oxide membranes. Science 343 (6172), 752754.
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, chap. 2, pp. 81–83. Course of Theoretical Physics, vol. 6. Pergamon.
Laohakunakorn, N., Gollnick, B., Moreno-Herrero, F., Aarts, D., Dullens, R., Ghosal, S. & Keyser, U. 2013 A Landau–Squire nanojet. Nano Lett. 13 (11), 51415146.
Park, H. G. & Jung, Y. 2014 Carbon nanofluidics of rapid water transport for energy applications. Chem. Soc. Rev. 43 (2), 565576.
Secchi, E., Nigues, A., Jubin, L., Siria, A. & Bocquet, L. 2016 Scaling behavior for ionic transport and its fluctuations in individual carbon nanotubes. Phys. Rev. Lett. 116, 154501.
Secchi, E., Marbach, S., Nigues, A., Siria, A. & Bocquet, L. 2016 Massive radius-dependent flow slippage in carbon nanotubes. Nature 537, 210213.
Siria, A., Poncharal, P., Biance, A.-L., Fulcrand, R., Blase, X., Purcell, S. T. & Bocquet, L. 2013 Giant osmotic energy conversion measured in a single transmembrane boron nitride nanotube. Nature 494 (7438), 455458.
Squire, H. B. 1951 The round laminar jet. Q. J. Mech. Appl. Maths 4 (3), 321329.
Stein, D. 2015 Nanopore sequencing: forcing improved resolution. Biophys. J. 109, 20012002.
Werber, J. R., Osuji, C. O. & Elimelech, M. 2016 Materials for next-generation desalination and water purification membranes. Nat. Rev. Mater. 1, 16018.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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