Mathematical modeling of binary coalescence process of oil-water emulsion droplets

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Abstract

The paper presents an attempt to form a general approach to mathematical modeling of binary coalescence arising due to droplet deposition in a gravitational field based on the population balance equation, which can be further applied to predict the conditions of oil-water emulsion stratification. Using experimental curves of water content change over time in water-in-oil emulsions measured at different temperatures, four different ways of calculating the efficiency of binary coalescence are compared.

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About the authors

S. A. Kiselev

JSC TomskNIPIneft

Author for correspondence.
Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

D. S. Poluboyartsev

JSC TomskNIPIneft

Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

I. R. Dolgov

JSC TomskNIPIneft

Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

I. V. Litvinets

JSC TomskNIPIneft

Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

A. A. Yashchuk

National Research Tomsk State University

Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

N. S. Belinskaya

National Research Tomsk Polytechnic University

Email: kiselevsa@tomsknipi.ru
Russian Federation, Tomsk

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2. Fig. 1. Scheme of the experimental setup.

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3. Fig. 2. The influence of the number of spatial discretizations on the numerical value of the coefficient and the magnitude of the residual: (a) – numerical value of the coefficient; (b) – magnitude of the residual.

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4. Fig. 3. Combination of experimental and calculated dependences of emulsion water content on time at ½ and ¾ of the container height at different temperatures for model No. 2: (a) 20ºC; (b) 50ºC; (c) 70ºC.

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