Abstract.
The problem of droplets flowing in a micritions is relevant in several applications including flow in porous media. When the flow in the capillary is laminar with negligible gravity effects, droplet velocity and deformation depend upon three independent parameters: the droplet size relative to the capillary radius \(\alpha\)\((=a/R)\), which is a measure of confinement, the viscosity ratio \(\lambda\) between the droplet and the continuous phase and the capillary number Ca which measures the ratio of viscous to capillary forces. Although droplet microconfined flow behaviour in capillaries has been widely investigated by theoretical models, experimental results are still scarce. Here, an experimental campaign focused on the flow behaviour of axisymmetric confined droplets flowing in a microcapillary is carried out. Our experimental results were obtained by using a water in soybean oil emulsion with a low viscosity ratio and the effect of the aforementioned three parameters, \(\alpha\), \(\lambda\) and Ca, on droplet motion was investigated. Moreover, our experimental results are compared with numerical solutions available in the literature.
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V. Preziosi, G. Tomaiuolo, M. Fenizia, S. Caserta, S. Guido, J. Rheol. 60, 419 (2016)
W.L. Olbricht, Annu. Rev. Fluid Mech. 28, 187 (1996)
A. Perazzo, G. Tomaiuolo, V. Preziosi, S. Guido, Adv. Colloid Interface Sci. 256, 305 (2018)
L. Cunha, I. Siqueira, E. Albuquerque, T. Oliveira, Int. J. Multiphase Flow 103, 141 (2018)
A. Mandal, A. Bera, Pet. Sci. 12, 273 (2015)
A. Kogan, N. Garti, Adv. Colloid Interface Sci. 123, 369 (2006)
G. Tomaiuolo, M. Barra, V. Preziosi, A. Cassinese, B. Rotoli, S. Guido, Lab Chip 11, 449 (2011)
T. Secomb, R. Skalak, N. Özkaya, J. Gross, J. Fluid Mech. 163, 405 (1986)
V. Sibillo, G. Pasquariello, M. Simeone, V. Cristini, S. Guido, Phys. Rev. Lett. 97, 054502 (2006)
S. Guido, Curr. Opin. Colloid Interface Sci. 16, 61 (2011)
M. Shapira, S. Haber, Int. J. Multiphase Flow 16, 305 (1990)
P.L. Maffettone, M. Minale, J. Non-Newtonian Fluid Mech. 78, 227 (1998)
M.J. Martinez, K.S. Udell, J. Fluid Mech. 210, 565 (1990)
B. Nath, G. Biswas, A. Dalal, K.C. Sahu, Phys. Rev. E 95, 033110 (2017)
W.A. Hyman, R. Skalak, AIChE J. 18, 149 (1972)
A. Vananroye, P. Van Puyvelde, P. Moldenaers, J. Rheol. 51, 139 (2007)
B.P. Ho, L.G. Leal, J. Fluid Mech. 71, 361 (1975)
W. Olbricht, D. Kung, Phys. Fluids A: Fluid Dyn. 4, 1347 (1992)
H.L. Goldsmith, S.G. Mason, J. Colloid Sci. 18, 237 (1963)
E. Lac, J.D. Sherwood, J. Fluid Mech. 640, 27 (2009)
V. Sibillo, G. Pasquariello, M. Simeone, V. Cristini, S. Guido, Phys. Rev. Lett. 97, 054502 (2006)
F. Bretherton, J. Fluid Mech. 10, 166 (1961)
S.R. Hodges, O.E. Jensen, J.M. Rallison, J. Fluid Mech. 501, 279 (2004)
L.W. Schwartz, H.M. Princen, A.D. Kiss, J. Fluid Mech. 172, 16 (1986)
W.L. Olbricht, D.M. Kung, Phys. Fluids 4, 1347 (1992)
G. Whitesides, Nature 442, 368 (2006)
E. Shirani, S. Masoomi, J. Fuel Cell Sci. Technol. 5, 041008 (2008)
H.A. Stone, A.D. Stroock, A. Ajdari, Annu. Rev. Fluid Mech. 36, 381 (2004)
S.-Y. Teh, R. Lin, L.-H. Hung, A.P. Lee, Lab Chip 8, 198 (2008)
R.K. Shah, H.C. Shum, A.C. Rowat, D. Lee, J.J. Agresti, A.S. Utada, L.-Y. Chu, J.-W. Kim, A. Fernandez-Nieves, C.J. Martinez, Mater. Today 11, 18 (2008)
R. D’Apolito, A. Perazzo, V. Preziosi, M. D’Antuono, G. Tomaiuolo, R. Miller, S. Guido, Langmuir 34, 4991 (2018)
J.W. Harris, H. Stöcker, Handbook of Mathematics and Computational Science (Springer Science & Business Media, 1998)
G. Tomaiuolo, D. Rossi, S. Caserta, M. Cesarelli, S. Guido, Cytom. Part A 81, 1040 (2012)
S. Guido, V. Preziosi, Adv. Colloid Interface Sci. 161, 89 (2010)
G. Hetsroni, S. Haber, E. Wacholder, J. Fluid Mech. 41, 689 (1970)
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D’Apolito, R., Preziosi, V., Khati Chhetri, S. et al. Confined flow behaviour of droplets in microcapillary flow. Eur. Phys. J. E 42, 29 (2019). https://doi.org/10.1140/epje/i2019-11790-2
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DOI: https://doi.org/10.1140/epje/i2019-11790-2