Abstract
A macroscopic law of flow of a viscoplastic Schwedoff-Bingham fluid through a porous medium is obtained on the basis of percolation theory with allowance for viscous and inertial losses. The asymptotics of the flow law are estimated and expressions for determining the limiting pressure gradient as a function of the microinhomogeneity parameters are given. Satisfactory qualitative agreement between the theoretical and known experimental data is observed.
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Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 68–73, January–February, 1999.
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Kadet, V.V., Polonskii, D.G. Law of flow of a viscoplastic fluid through a porous medium with allowance for inertial losses. Fluid Dyn 34, 58–63 (1999). https://doi.org/10.1007/BF02698751
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DOI: https://doi.org/10.1007/BF02698751