Abstract
The problem concerned with mixing of mutually soluble liquids in turbulent flow in a pipe [1–11] is considered. To describe the distribution of concentration in the region of mixture, taken average across the section of the pipe, we use a model based on a one-dimensional model of the type of heat-conduction equation with an effective coefficient which, as tests show, is different from the coefficients of molecular and turbulent transfer. The dimensionless value of this coefficient depends on a number of parameters, such as the Reynolds number calculated for one of the liquids, roughness, ratio of the densities and viscosities of the liquids, as well as on the concentration, gradients of concentration, etc. These relationships can be established either by means of tests or on the basis of theoretical consideration of the mixing phenomenon. In this paper we theoretically derive a dispersion model with an effective diffusion coefficient which depends on Reynolds and Schmidt numbers, as well as on roughness.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 96–102, September–October, 1971.
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Maron, V.I. Mixing of mutually soluble liquids in turbulent flow in a pipe. J Appl Mech Tech Phys 12, 714–719 (1971). https://doi.org/10.1007/BF00851125
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DOI: https://doi.org/10.1007/BF00851125