Internal waves in the boundary layer with the self-induced pressure

This study deals with the properties of a dispersion equation that occurs in the linear problem of unsteady disturbances propagating through a boundary layer. It is shown that for a given wavenumber there is a whole spectrum of eigenvalues of frequencies. A similar conclusion is made for a fixed frequency and wavenumbers to be determined. The related eigenfunctions are interpreted as internal waves resulting from the mutual influence of the self-induced pressure and the shear stresses. Various flow regimes are discussed in some detail.