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On the Analogy between Filtration Flow of Newtonian Fluid and Free Flow of Micropolar Fluid

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Abstract

Analytic solutions of boundary value problems have been compared for two kinds of flow, the filtration of a Newtonian fluid in a Brinkman medium and the free flow of a micropolar fluid. Both the flows are considered in a plane and a cylindrical channel with impermeable walls, where the no-slip condition is applied. An analogy between these solutions has been revealed. The conditions for equivalence of the flows have been formulated.

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Authors and Affiliations

  1. Gubkin Russian State University of Oil and Gas (Research University), Moscow, 119991, Russia

    D. Yu. Khanukaeva

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  1. D. Yu. Khanukaeva
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Correspondence to D. Yu. Khanukaeva.

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Original Russian Text © D.Yu. Khanukaeva, 2018, published in Membrany i Membrannye Tekhnologii, 2018, Vol. 8, No. 3, pp. 190–195.

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Khanukaeva, D.Y. On the Analogy between Filtration Flow of Newtonian Fluid and Free Flow of Micropolar Fluid. Pet. Chem. 58, 503–507 (2018). https://doi.org/10.1134/S0965544118060051

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  • DOI: https://doi.org/10.1134/S0965544118060051

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