Abstract
Sea waves interacting with a surface current whose undisturbed velocity profile is linear form a physical system that is practically important and moreover easy to treat mathematically since the dispersion equation becomes an algebraic equation. The present paper emphasizes which information about fundamental wave modes that can be obtained from graphical solutions of the dispersion equation. Use of Taylor's nondimensional variables Y = U/c and Z = hg/U2 makes it possible to show in a very clear way how the flow becomes unstable within a certain wave number band. The instability is reminiscent of the Kelvin-Helmholtz instability, but occurs even for a homogeneous fluid.
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