Abstract
When two incompressible homogeneous fluids in relative motion are stratified in a gravitationally stable configuration and are subjected to rotation about a vertical axis, the interface and the free surface slope away from the horizontal. Such a system possesses rotational modes of oscillation in addition to the external and internal gravitational modes. The dynamic stability of small amplitude motions superimposed on this system is studied. For unstable modes, the phase speeds and the growth rates are presented as a function of wavelength of the perturbations and shear of the basic flow. In particular, it is shown that the instability can occur as a result of a coupling between an internal gravitational mode and a rotational mode.
© 1970 Desiraju B. Rao, T. J. Simons, published by Stockholm University Press
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