Dynamics of Contained Oil Slicks

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Abstract
An oil slick contained on the surface of a flowing stream may be divided into two zones of influence; a frontal region where dynamic forces are dominant and a viscous zone where viscous stresses determine the form of the slick. It is shown that the frontal thickness of an oil slick can be expressed as a function of a densimetric Froude number based on properties of the stream and the density of the oil. Dynamic effects cause the interface to become unstable when the densimetric Froude number exceeds a critical value and retention of a slick under such conditions becomes impossible.

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