Two-Layer Heavy-Fluid Flow past a Vortex when the Stream Is Divided by a Semi-Infinite Plate

The problem of two-layer heavy inviscid fluid flow past a vortex in the presence of a semi-infinite plate on the interface when the fluids have different densities and velocities at infinity is solved in the linear approximation. The forces exerted on the vortex and the plate and the shape of the interface are determined as functions of the location of the vortex, its intensity, the Froude number, the free-stream density ratio and the velocities.