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Morphological stability of the interphase boundary of a fluid displaced in a finite Hele-Shaw cell

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Abstract

We have studied the morphological stability of the interphase boundary of a fluid displaced in the radial direction by another fluid (at a constant pressure or flow rate) in a finite Hele-Shaw cell. In contrast to the analogous analyses performed previously, the calculations have been performed with allowance for a finite size of the system. In addition to substantial refinement of the results, allowance for this factor makes possible description of a specific translational instability observed in experiments.

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Correspondence to L. M. Martyushev.

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Original Russian Text © L.M. Martyushev, A.I. Birzina, 2008, published in Pis’ma v Zhumal Tekhnicheskoĭ Fiziki, 2008, Vol. 34, No. 5, pp. 71–78.

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Martyushev, L.M., Birzina, A.I. Morphological stability of the interphase boundary of a fluid displaced in a finite Hele-Shaw cell. Tech. Phys. Lett. 34, 213–216 (2008). https://doi.org/10.1134/S1063785008030115

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  • DOI: https://doi.org/10.1134/S1063785008030115

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