A fountain flow of a non-Newtonian liquid filling a vertical plane channel was investigated. The problem of this flow was solved by the finite-difference method on the basis of a system of complete equations of motion with natural boundary conditions on the free surface of the liquid. The stability of calculations was provided by regularization of the rheological Ostwald–de Waele law. It is shown that the indicated flow is divided into a zone of two-dimensional flow in the neighborhood of the free surface and a zone of one-dimensional flow at a distance from this surface. A parametric investigation of the dependence of the kinetic characteristics of the fountain flow and the behavior of its free surface on the determining criteria of this flow and its rheological parameters has been performed.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 4, pp. 901–909, July–August, 2016.
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Borzenko, E.I., Shrager, G.R. Flow of a Non-Newtonian Liquid with a Free Surface. J Eng Phys Thermophy 89, 902–910 (2016). https://doi.org/10.1007/s10891-016-1452-2
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DOI: https://doi.org/10.1007/s10891-016-1452-2