Abstract
We construct anisotropoviscous two- and three-layer models of the effect of reduction of hydrodynamic resistance through the addition of polymers. The three-layer model can be used to compute the hydrodynamic resistance of turbulent flows with polymer additives in the entire region of variation of the Reynolds numbers, and the two-dimensional model can be used with large Reynolds numbers. Two figures. Bibliography: 3 titles.
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Literature Cited
A. B. Stupin, “A semiempirical theory of the effect of reduction of turbulent friction through polymer additives,”Mekh. Neodnorod. Turbul. Potok., 45–52 (1989).
A. S. Monin and A. M. Yaglom,Statistical Hydromechanics [in Russian], St. Petersburg (1992).
L. G. Loitsyanskii,Fluid and Gas Mechanics [in Russian], Moscow (1978).
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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 135–141
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Bykovskaya, N.V., Stupin, A.B. Anisotropoviscous models of the phenomenon of reduction of hydrodynamic resistance. J Math Sci 86, 3172–3175 (1997). https://doi.org/10.1007/BF02355721
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DOI: https://doi.org/10.1007/BF02355721