2009
DOI: 10.1007/s10808-009-0062-6
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Modeling the spread of an oil slick on the sea surface

Abstract: The spread of an oil slick in the sea is considered. A mathematical model of the process is proposed and a formulas for determining the oil slick sizes in explicit form are obtained.

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Cited by 10 publications
(8 citation statements)
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“…In the theoretical solutions [5][6][7][8][9] [67]. The comparison between the simulated wave shape and that by ISPH [67] is presented in Fig.…”
Section: Effects Of Wave and Continuous Spill On Oil Spreadingmentioning
confidence: 96%
See 2 more Smart Citations
“…In the theoretical solutions [5][6][7][8][9] [67]. The comparison between the simulated wave shape and that by ISPH [67] is presented in Fig.…”
Section: Effects Of Wave and Continuous Spill On Oil Spreadingmentioning
confidence: 96%
“…For example, in situ burning is an effective way to clean up thick oil slicks [2][3][4], and predicting the initial spreading area is of great importance to arrange containment boom in this method [2]. However, the early spreading of crude oil is difficult to predict accurately by the simplified theoretical solutions [5][6][7][8][9] or experimental summaries [5,[9][10][11] because it is a complicated multiphase flow, influenced by manners of spilling, ship motion, wave, wind, current, etc.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The main characteristics of the oil film will be its radius and thickness. The process is described using the mass conservation equation for the elemental volume of an oil film and the equation of motion of a viscous Newtonian fluid [15]. The equation of mass conservation for the mathematical model of the process under consideration in the axisymmetric case can be represented as 1The equation of fluid motion is 2where h is oil film thickness, m; u is film speed averaged over film thickness, m/sec; τ is shear stress at the bottom of the film; g is acceleration of gravity, m/s 2…”
Section: Methods Of Mathematical Modeling Of the Spreading Of The Oilmentioning
confidence: 99%
“…Consequently, it is now very likely that an ice-free Arctic Ocean, a so called 'Blue Ocean Event', will be realised by the mid-century unless there is a rapid reduction in greenhouse gas emissions (Notz and Stroeve, 2018). In response to the 'blue' Arctic Ocean, there has been a significant interest in developing northern shipping routes which can decrease journey lengths from Europe to Asia by up to 40% (Ho, 2010;Eguíluz et al, 2016;Kikkas andal., 2005, 2011;Gamzaev, 2009), with the consensus being that knowledge of oil droplet size distribution is fundamental to accurately model ocean oil spills (Nissanka and Yapa, 2018). There have also been several lab (Hesketh et al, 1991;Masutani and Adams, 2000;Tang and Masutani, 2003;Brandvik et al, 2013Brandvik et al, , 2014Wang et al, 2018) and field experiments (Johansen et al, 2003;Brandvik et al, 2010) which have generally focused on very high levels of pollution within a relatively short time frame from the release of oil.…”
Section: Introductionmentioning
confidence: 99%