Savchenko Problem 4.5.14

Physics · mechanics · fluid-mechanics

Problem

a. A large area of a liquid is covered by a layer of oil. The surface tension and density of the liquid σl\sigma_l and ρl\rho_l, the surface tension and density of the oil σo\sigma_o and ρo\rho_o, and the surface tension of the liquid-oil boundary σl,o\sigma_{l,o}. Determine the thickness of the oil layer. b. In 1977 the Argo Merchant, a tanker with a displacement of 28,691 tons, struck a reef; the hull of the tanker broke in two, spilling a full load of oil into the sea. Black oil slicks spread out over thousands of square miles. Determine the total area of these slicks. The surface tension of oil is 0.03 N/m, the density of oil is 0.8 ⋅\cdot 10³ kg/m³, and oil is not wetted by water. Take oil mass as 0.8 of tanker's displacement.

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