Inertia–gravity spreading of oil on water

Chebbi, Rachid

doi:10.1016/s0009-2509(00)00129-9

Cited by 20 publications

(27 citation statements)

References 11 publications

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“…Oil spreading is complicated process that was studied in detail for some idealized cases. Most of studies were restricted by case of self-similar spreading of symmetric slick after instantaneous release in the calm sea [3][4][5][6][7][8][9][10][11][12][13]. The Fay formulae [3] completed by empirical parameters are used in many oil spill models.…”

Section: Introductionmentioning

confidence: 99%

Oil spreading in instantaneous and continuous spills on rotating earth

2012

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The effect of the Coriolis force on the oil spill spreading in the gravity-viscous regime is examined. A new shallow water model for the transport and spreading of oil slick of arbitrary shape is described in which the Coriolis force is included in the momentum equations and the oil-water friction is parameterized in a frame of the boundary layer theory including the Ekman friction. The numerical Lagrangian method based on smoothed particle dynamics is described. New similarity solutions of the model equations are obtained for unidirectional and axisymmetric spreading in gravity-viscous, gravity-turbulent and gravityviscous-rotational regimes for instantaneous as well as continuous releases. The numerical simulation extends these results for the case of continuous release in the presence of currents. It was shown that Coriolis term in the momentum equation can be omitted if slick thickness is much less of the laminar Ekman layer thickness. However, the Ekman friction should be retained for slicks of any thickness for larger times. The Ekman friction results in the essential slowdown of the spreading as well as in the deflection of the oil spreading velocity at 45 • from the direction of velocity in the non-rotation case. Numerical simulations of large-scale spills showed that after the 2 days the slick area with the Coriolis effect was approximately less than half of that without rotation. Therefore, the earth rotation can be also important in the oil weathering.

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Section: Introductionmentioning

confidence: 99%

Oil spreading in instantaneous and continuous spills on rotating earth

2012

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“…Finally, in the third stage, surface tension force replaces gravity as the dominant promoting spreading force. A review is given in Hoult (1972), and more recent works and reviews can be found in Chebbi (2000) for the gravityinertial stage, in Buckmaster (1973) and Chebbi (2001) for the viscous-gravity stage of spreading, and in Foda and Cox (1980) and Phillips (1997) for surface-tension spreading. Including Fay's type spreading laws in modeling the fate of oil spills is shown in Shen et al (1987).…”

Section: Introductionmentioning

confidence: 99%

“…These include for instance oil well blowouts (Cormack, 1986). The spreading problem of a variable oil spill volume was addressed in Chebbi (2000) for the first stage. The case of * Tel.…”

Section: Introductionmentioning

confidence: 99%

“…The variable oil spill volume problem was addressed in Chebbi (2000) in the case of unidirectional inertial spreading in which the oil volume released varies as qt n (0 n < 1), which covers the case of constant volume (n=0) as a particular case. Two boundary conditions yielding a better agreement for the constant-volume case were considered: Fay and Hoult boundary conditions, the latter including a fitting parameter.…”

Section: Introductionmentioning

confidence: 99%

“…All models proposed (Fannelop and Waldman, 1972;Hoult, 1972;Chebbi, 2000) yield a blunt leading edge. Fannelop and Waldman (1972) considered the blunt leading edge a disturbance, and by analogy with the acoustic limit in gas dynamics, they considered the leading-edge velocity to be equal to the wave speed when the leading edge is very thin.…”

Section: Introductionmentioning

confidence: 99%

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