Axisymmetric spreading of hydrocarbons over the ice cover

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The results of experimental and theoretical investigations of hydrocarbon’s spills spreading over the ice cover are presented. On the basement of the mass and ener-gy conservation model the approximate equation, describing the dynamics of spreading area in a time, is constructed. The comparison of theoretical and experimental results shows its good correspondence.

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作者简介

T. Chaplina

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

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Email: tanya75.06@mail.ru
俄罗斯联邦, Moscow

A. Kistovich

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Email: tanya75.06@mail.ru
俄罗斯联邦, Moscow

V. Pachnenko

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Email: tanya75.06@mail.ru
俄罗斯联邦, Moscow

参考

  1. Kistovich A. V., Chaplina T. O. Energy Approach To The Description Of The Dynamics Of Hydrocarbon Spills // Physics of Fluids. 2023. V. 35. P. 072109. https://doi.org/10.1063/5.0159629
  2. Konno A., Izumiyama K., Sakai S. Experimental study on spreading of oil under ice cover / Proceedings of the Twelfth International Offshore and Polar Engineering Conference (Kitakyushu, Japan, 2002). P. 821–826.
  3. Mackay D., Leinonen P. J., Overall J. C. K., Wood B. R. The behavior of crude oil spilled on snow // Geology. Arctic. 1975. P. 10–20.
  4. Solodkii D. M., Kistovich A. V. Modified shift algorithm for processing measured data // Measurement Techniques. 2015. V. 57. № 11. P. 1287–1292. https://doi.org/10.1007/s11018-015-0622-5

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2. Fig. 1. Graphs of the dependence of the spot area at the initial stage of spreading, calculated according to (10) for a single value of the initial area εb and different values ​​of the initial growth rates of the area 𝛆 .

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3. Fig. 2. Graphs of the dependence of the spot area at the beginning of the middle stage of spreading, calculated according to (12) (dots and dotted line) and (13) (solid line, c = 0, σ < 0) for a single value of the spot area μm at time tm and different values ​​of the initial velocities μ m.

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4. Fig. 3. Middle stage of the process (12) for different values ​​of initial velocities μ m and a fixed volume (a) and experimental data on the spillage of machine oil of different volumes, processed using the method [4] (b).

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