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 Vestnik YuUrGU. Ser. Mat. Model. Progr., 2019, Volume 12, Issue 1, Pages 137–143 (Mi vyuru478)

Short Notes

Mathematical model of the submerged jet taking into account the influence of 3D flow of the ambient water

S. R. Kildibaevaa, I. K. Gimaltdinovb

a Sterlitamak Branch of the Bashkir State University, Sterlitamak, Russian Federation
b Ufa State Oil Technical University, Ufa, Russian Federation

Abstract: The paper considers the flow of a submerged jet consisting of oil droplets, gas bubbles, hydrate bubbles and water ambiented in the jet. The integral Lagrangian control volume method is used to model the jet. According to this method, the jet is considered as elementary control volumes. Knowing these parameters for the control volume, you can get information about the jet. The article deals with the spill of hydrocarbons at a depth of 1500 m, which corresponds to deep-sea production. There is a risk of hydrocarbon spills into the ocean, as was the case with the Gulf of Mexico accident in 2010. In such cases, it is necessary to develop methods for predicting the flow of hydrocarbons. Under the conditions of stable hydrate existence, a hydrate shell is formed on the surface of the bubbles, thus the gas bubble turns into a hydrate bubble. To simulate hydrate formation, a scheme of hydrate formation is adopted, which is limited by the diffusion of gas through the shell on the surface of the bubble. Under the influence of the flow of the surrounding water jet bends. The paper for the first time considers the case when a three-dimensional flow acts on the jet. As a result of calculations the jet trajectory, the dependence of temperature, velocity and density of the jet on the vertical coordinate are obtained. The integral Lagrangian control volume method is developed, and the influence of the three-dimensional flow of the submerged jet on its parameters is determined.

Keywords: submerged jet, gas hydrate formation, hydrocarbon spill, oil, methane.

 Funding Agency Grant Number Russian Foundation for Basic Research 18-31-00264_ìîë_à

DOI: https://doi.org/10.14529/mmp190112

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UDC: 532.546+536.421
MSC: 93A30

Citation: S. R. Kildibaeva, I. K. Gimaltdinov, “Mathematical model of the submerged jet taking into account the influence of 3D flow of the ambient water”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019), 137–143

Citation in format AMSBIB
\Bibitem{KilGim19} \by S.~R.~Kildibaeva, I.~K.~Gimaltdinov \paper Mathematical model of the submerged jet taking into account the influence of 3D flow of the ambient water \jour Vestnik YuUrGU. Ser. Mat. Model. Progr. \yr 2019 \vol 12 \issue 1 \pages 137--143 \mathnet{http://mi.mathnet.ru/vyuru478} \crossref{https://doi.org/10.14529/mmp190112} \elib{http://elibrary.ru/item.asp?id=37092213}