FLOW-FIELD GENERATED BY A SOURCE IN MULTI LAYER FLUID WITH FINITE OR INFINITE-LAYER DEPTH

Disturbances generated by a source in multilayer ideal incompressible flow are investigated. Velocity and density distributions in each laye r are arbitrary except for the case of the low layer with infinite dep th which is supposed to have constant velocity and density. The flow f ield is expressed with the help of Green function of auxiliary spectra l problem for the ordinary differential equation with two complex para meters. In the case of finite depth flow properties of discrete spectr um of this problem allow to present the wave and nonwave disturbances through infinite series of simple integrals. In the case of infinite f low depth a continuous spectrum exists. For small stratification param eter the disturbance of the flow field in this case is expressed as in finite series of simple integrals for the ware part of disturbance and through double integrals for nonwave part. An example of two constant density layers with one being of infinite depth is considered.