Asymptotic structure of the nonviscous core of a spiral contact discontinuity

An exact solution to the problem concerning the structure of the core of a spiral contact line is obtained in the case of plane flow. It is shown that the spirals are logarithmic over the full range of the self-similarity index for a contact discontinuity separating fluids of different densities and for the case where the self-similarity index is less than 0.5 for vortex sheets.