Abstract
An averaged model of viscous fluid displacement from a Hele-Shaw cell with consideration of the transverse stratification of flow between the cell plates is proposed.
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A. V. Zvyagin, O. E. Ivashnev, and O. A. Logvinov, “Effect of Small Parameters on the Structure of the Front Formed by Unstable Viscous-Fluid Displacement from a Hele-Shaw Cell,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 16–26 (2007) [Fluid Dyn. 42 (4), 518–527 (2007)].
N. Nagel and F. Gallaire, “A New Prediction of Wavelength Selection in Radial Viscous Fingering Involving Normal and Tangential Stresses,” Phys. Fluids 25 (12), 124107 (2013).
J. Zeng, Y. C. Yortsos, and D. Salin, “On the Brinkman Correction in Unidirectional Hele-Shaw Flows,” Phys. Fluids 15 (12), 3829–3836 (2003).
O. A. Logvinov, “Stability of the Lateral Surface of Viscous Fingers Formed When a Fluid is Displaced from a Hele-Shaw Cell,” Vestn. Mosk. Univ., Ser. 1: Mat. Mekh., No. 2, 40–46 (2011) [Moscow Univ. Mech. Bull. 66 (2), 25–31 (2011)].
P. G. Saffman and G. Taylor, “The Penetration of a Fluid into a Porous Medium or a Hele-Shaw Cell Containing a More Viscous Fluid,” Proc. Roy. Soc. London A 245, 312–329 (1958).
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Original Russian Text © O.A. Logvinov, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 1, pp. 37–42.
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Logvinov, O.A. Averaged equations in a Hele-Shaw cell: A stratification model. Moscow Univ. Mech. Bull. 72, 1–6 (2017). https://doi.org/10.3103/S0027133017010010
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DOI: https://doi.org/10.3103/S0027133017010010