Axisymmetric spreading of hydrocarbons over the ice cover

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Abstract

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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About the authors

T. O. Chaplina

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: tanya75.06@mail.ru
Russian Federation, Moscow

A. V. Kistovich

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Email: tanya75.06@mail.ru
Russian Federation, Moscow

V. P. Pachnenko

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Email: tanya75.06@mail.ru
Russian Federation, Moscow

References

  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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