Application of the Fourier Expansion Method to the Problem of Stability of a Plane Jet

抄録

A Fourier expansion method is applied to obtain a solution of the hydrodynamic stability problem. As an example the stability of a plane jet is investigated. Three different boundary conditions are tested. Good overall agreement with the exact result is obtained even with simple approximate boundary conditions and with a few-term truncation of the expansion. The result becomes less accurate at small values of the wave number of the disturbance.