Abstract
Water wave interaction with a circular barrier placed in the lower fluid of a medium comprised of two superposed fluids is investigated. The topmost surface of this medium is covered by a thin sheet of ice. The existence of two different incident waves along the ice-covered surface and the interface gives rise to two different problems. Both the problems are tackled by transforming them into hypersingular integral equations for the jump in the potential across the circular barrier. The integral equations are solved numerically and the solutions are used to find relevant physical quantities. The qualitative features of these quantities are graphically analyzed by varying the arc length of the barrier, the depth of their submergence, the ice-parameters and the depth ratio of the fluids. The present results are compared successfully with previous results for a curved barrier present in a single layer fluid.
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